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Journal articles on the topic 'Gutzwiller approach'

Author: Grafiati

Published: 24 April 2022

Last updated: 18 July 2025

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1

Zhang, G. P., Y. S. Ma, X. Sun, K. H. Lee, and T. Y. Park. "Pairing inC60: A Gutzwiller approach." Physical Review B 52, no. 8 (1995): 6081–86. http://dx.doi.org/10.1103/physrevb.52.6081.

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2

Medina, G. A., J. Simonin, and M. D. Núez Regueiro. "Gutzwiller approach to the negative-UHubbard model." Physical Review B 43, no. 7 (1991): 6206–8. http://dx.doi.org/10.1103/physrevb.43.6206.

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3

GOCHEV, I. G., N. B. IVANOV, and P. Kh. IVANOV. "A NEW APPROACH TO CALCULATION OF ENERGY OF S = 1/2 HEISENBERG ANTIFERROMAGNET USING VARIATIONAL GUTZWILLER WAVE FUNCTION." International Journal of Modern Physics B 02, no. 05 (1988): 1037–42. http://dx.doi.org/10.1142/s0217979288000871.

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4

Joyes, P., R. J. Tarento, and J. Walle. "Size effect in3He n aggregates. A Gutzwiller approach." Zeitschrift f�r Physik D Atoms, Molecules and Clusters 20, no. 1-4 (1991): 273–76. http://dx.doi.org/10.1007/bf01543990.

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5

KOU, SU-PENG, and RONG-HUA LI. "BOSONIC GUTZWILLER PROJECTION APPROACH FOR THE BOSE–HUBBARD MODEL." International Journal of Modern Physics B 21, no. 02 (2007): 249–64. http://dx.doi.org/10.1142/s0217979207036497.

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In this paper, a new Bosonic Gutzwiller projection approach is proposed to study the strongly correlated bosons in optical lattice. In this method, there exist many variational parameters which make us calculate the physical characters of states, including the double occupation rate and the higher occupation rates. Based on this approach, a quantum phase transition from superfluid state to Mott insulator state is obtained for the homogenous phase at unit filling.

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6

Bünemann, J., S. Wasner, E. v. Oelsen, and G. Seibold. "Exact response functions within the time-dependent Gutzwiller approach." Philosophical Magazine 95, no. 5-6 (2014): 550–62. http://dx.doi.org/10.1080/14786435.2014.964348.

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7

Liu, Zheng-Xin, Yi Zhou, and Tai-Kai Ng. "Gutzwiller approach for elementary excitations inS= 1 antiferromagnetic chains." New Journal of Physics 16, no. 8 (2014): 083031. http://dx.doi.org/10.1088/1367-2630/16/8/083031.

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8

Julien, J. P. "Density matrix approach to Gutzwiller method for degenerate bands." Physica B: Condensed Matter 259-261 (January 1999): 757–59. http://dx.doi.org/10.1016/s0921-4526(98)00782-0.

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9

JAKUBCZYK, D. "ON THE TRANSLATIONAL SYMMETRY OF INFINITE U HUBBARD MODEL." Modern Physics Letters B 26, no. 02 (2012): 1150005. http://dx.doi.org/10.1142/s0217984911500059.

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We investigate two commonly used methods of obtaining the solution of the one-dimensional Hubard model, in the regime of infinite intrasite Coulomb repulsion U, that is the nested Bethe ansatz and the Gutzwiller projection operator approach. These two formalisms give rise to different kinds of the wavefunctions, received via the additional operator and as a general feature, in Gutzwiller and Bethe methods, respectively. We consider the finite system consisting of three particles on a four site closed chain. We investigate the consequences of the dissimilarities in the translational symmetry of the representations of the Hamiltonian for these two approaches. We look for the proof of the decoupling of the spin and charge degrees of freedom, known in context of high-temperature superconductors, in this case.

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10

LAVAGNA, M. "QUANTUM FLUCTUATIONS ON THE GUTZWILLER APPROXIMATION OF THE HUBBARD MODEL." International Journal of Modern Physics B 02, no. 05 (1988): 607–12. http://dx.doi.org/10.1142/s0217979288000421.

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Many experimental results seem to relate the superconducting oxides to the phenomenon of Mott localization in strongly correlated systems. We will give a brief review of the different theories developed until then to treat the Mott localization in the Hubbard model: variational Ansatz of Gutzwiller or RVB Ansatz, leading to fundamentally different ground states. In this context, we propose a new approach which consists to take account of the quantum fluctuations around the mean-field solution provided by the Gutzwiller approximation. We show how to understand the ground state in terms of a resonance (split by the Mott gap in the almost-localized regime) in complete analogy with the Abrikosov-Suhl resonance of the Kondo problem — heavy fermions. Superconductivity appears as induced by the constrained intersite correlations developed by quantum fluctuations around this resonant state.

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11

TARENTO, R. J., P. JOYES, and J. VAN DE WALLE. "SIMPLE APPROACHES TO FULLERENES AND BUCKONIONS ELECTRONIC STRUCTURE: GUTZWILLER AND SHELL-MODEL CALCULATIONS." Surface Review and Letters 03, no. 01 (1996): 849–51. http://dx.doi.org/10.1142/s0218625x96001522.

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The electronic structure of fullerenes and buckonions have been investigated using quantum-mechanical methods: the Gutzwiller and shell-model techniques. In the first part, fullerenes have been modeled with the Hubbard Hamiltonian and the electronic correlation has been examined within the Gutzwiller framework. It has been derived various characteristic energies of fullerenes ( C 60 and C 240) in the free state (first and second ionization energies, electron affinity, and singlet and triplet energies). The second part deals with buckonions. Fullerenes and buckonions have been modeled with the spherical shell-model approach. The calculation has led to the electronic structure of fullerenes and of buckonions. So if we compare the energy levels of the buckonions with those of the fullerenes which build the buckonions, only the buckonions energy levels coming from the outer shell are changed by the coupling between shells.

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12

Jolicoeur, Th, and J. C. Le Guillou. "Fluctuations beyond the Gutzwiller approximation in the slave-boson approach." Physical Review B 44, no. 5 (1991): 2403–6. http://dx.doi.org/10.1103/physrevb.44.2403.

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13

Shotter, Martin. "A Gutzwiller approach to squeezed states in an optical lattice." Journal of Physics B: Atomic, Molecular and Optical Physics 35, no. 13 (2002): 3019–28. http://dx.doi.org/10.1088/0953-4075/35/13/314.

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14

Reynolds, A. M., D. M. Edwards, and A. C. Hewson. "The Gutzwiller approach to magnetic instabilities in heavy-fermion systems." Journal of Physics: Condensed Matter 4, no. 37 (1992): 7589–96. http://dx.doi.org/10.1088/0953-8984/4/37/006.

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15

Mayou, D., D. Nguyen Manh, and J. P. Julien. "Gutzwiller approach to the electronic structure of high Tc superconductors." Solid State Communications 68, no. 7 (1988): 665–69. http://dx.doi.org/10.1016/0038-1098(88)90159-7.

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16

STRACK, RAINER, and DIETER VOLLHARDT. "NEW VARIATIONAL APPROACH TO THE PERIODIC ANDERSON MODEL WITH ANTIFERROMAGNETIC ORDER." Modern Physics Letters B 05, no. 20 (1991): 1377–86. http://dx.doi.org/10.1142/s0217984991001684.

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We propose a new variational wave function for the periodic Anderson model in the case of antiferromagnetically ordered f-electrons. Expectation values in terms of this wave function can be calculated analytically in arbitrary dimensions d. The wave function automatically produces the exact limiting behavior of the ground state energy for weak hybridization and strong f-electron interaction in the symmetric case, which the Gutzwiller wave function fails to do. Several additional improvements are discussed. Thereby one obtains a wave function that leads to extremely good ground state energies for the periodic Anderson model for arbitrary U in all dimensions d.

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17

Vulović, Vladimir Z., and Elihu Abrahams. "Gutzwiller approach to the Anderson lattice model with no orbital degeneracy." Physical Review B 36, no. 5 (1987): 2614–25. http://dx.doi.org/10.1103/physrevb.36.2614.

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18

McQueen, P. G., and C. S. Wang. "Novel stochastic approach for Gutzwiller matrix elements: Two-dimensional Hubbard model." Physical Review B 39, no. 16 (1989): 12414–17. http://dx.doi.org/10.1103/physrevb.39.12414.

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19

Asahata, T., A. Oguri, and S. Maekawa. "Gutzwiller approach to the three-band Hubbard model the antiferromagnetic phase." Physica C: Superconductivity 242, no. 3-4 (1995): 311–25. http://dx.doi.org/10.1016/0921-4534(94)02415-4.

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20

Liang-Jian, Zou. "Antiferromagnetic correlation of the heavy-fermion system by the Gutzwiller approach." Journal of Physics: Condensed Matter 5, no. 35 (1993): 6483–90. http://dx.doi.org/10.1088/0953-8984/5/35/013.

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21

Ye, Zhuo, Yimei Fang, Han Zhang, et al. "The Gutzwiller conjugate gradient minimization method for correlated electron systems." Journal of Physics: Condensed Matter 34, no. 24 (2022): 243001. http://dx.doi.org/10.1088/1361-648x/ac5e03.

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Abstract We review our recent work on the Gutzwiller conjugate gradient minimization method, an ab initio approach developed for correlated electron systems. The complete formalism has been outlined that allows for a systematic understanding of the method, followed by a discussion of benchmark studies of dimers, one- and two-dimensional single-band Hubbard models. In the end, we present some preliminary results of multi-band Hubbard models and large-basis calculations of F2 to illustrate our efforts to further reduce the computational complexity.

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22

Seibold, G., and J. Lorenzana. "The unrestricted Gutzwiller+RPA approach and its application to stripes in cuprates." Physica B: Condensed Matter 359-361 (April 2005): 548–50. http://dx.doi.org/10.1016/j.physb.2005.01.158.

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23

Mishra, A. K., and R. Kishore. "Orthofermions versus Gutzwiller projection operator approach for the infinite U Hubbard model." Physics Letters A 372, no. 38 (2008): 6019–21. http://dx.doi.org/10.1016/j.physleta.2008.07.062.

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24

Shiina, Ryousuke, and Chikara Ishii. "Green's function approach to half-filled Kondo lattice—Comparison with Gutzwiller approximation." Journal of Low Temperature Physics 91, no. 1-2 (1993): 105–14. http://dx.doi.org/10.1007/bf00132091.

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25

Gzhebinsky, A. M., A. G. Magner, and A. S. Sitdikov. "Semiclassical inertia for nuclear collective rotation." Nuclear Physics and Atomic Energy 8, no. 1 (2007): 17–22. https://doi.org/10.15407/jnpae2007.01.017.

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The collective rotation motion is described within the local approximation of the semiclassical Gutzwiller trajectory approach to the response function theory through the cranking model. It is shown that the smooth local part of the moment of inertia for the collective rotation of deformed nuclei around the axis, perpendicular to the symmetry axis of the infinitely deep axially-symmetric square-well potential, is the rigid-body quantity. The "classical rotation" with the rigid-body inertia moment was found in the spherical limit.

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26

HOU, JING-MIN. "QUANTUM PHASES OF ULTRACOLD BOSONIC ATOMS IN A TWO-DIMENSIONAL OPTICAL SUPERLATTICE." Modern Physics Letters B 23, no. 01 (2009): 25–33. http://dx.doi.org/10.1142/s0217984909017820.

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We study quantum phases of ultracold bosonic atoms in a two-dimensional optical superlattice. The extended Bose–Hubbard model derived from the system of ultracold bosonic atoms in an optical superlattice is solved numerically with the Gutzwiller approach. We find that the modulated superfluid (MS), Mott-insulator (MI) and density-wave (DW) phases appear in some regimes of parameters. The experimental detection of the first-order correlations and the second-order correlations of different quantum phases with time-of-flight and noise-correlation techniques is proposed.

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27

Wölfle, P. "SPIN-CARRYING SLAVE BOSON REPRESENTATION FOR STRONGLY CORRELATED FERMION SYSTEMS." International Journal of Modern Physics B 03, no. 12 (1989): 1833–42. http://dx.doi.org/10.1142/s0217979289001172.

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We consider slave boson formulations of the Hubbard model, the t–J model and the Anderson model, in which spin and charge fermion degrees of freedom are represented by Bose fields. The approach has been applied to the Hubbard model generalizing the formulation of Kotliar and Ruckenstein. There the Gutzwiller solution is recovered as a saddle point. The method allows to find other types of mean field solutions in a systematic way. Dynamical correlation functions in mean field approximation as well as fluctuation contributions are also calculated.

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28

GROS, CLAUDIUS, and ROSER VALENTÍ. "LUTTINGER-LIQUID BEHAVIOUR IN 2D: THE VARIATIONAL APPROACH." Modern Physics Letters B 07, no. 03 (1993): 119–41. http://dx.doi.org/10.1142/s0217984993000151.

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We study a variational formulation of the Luttinger-liquid concept in two dimensions. We show that a Luttinger-liquid wavefunction with an algebraic singularity at the Fermiedge is given by a Jastrow-Gutzwiller type wavefunction, which we evaluate by variational Monte Carlo for lattices with up to 38 × 38 = 1444 sites. We therefore find that, from a variational point of view, the concept of a Luttinger liquid is well defined even in 2D. We also find that the Luttinger liquid state is energetically favoured by the projected kinetic energy in the context of the 2D t-J model. We study and find coexistence of d-wave superconductivity and Luttinger-liquid behaviour in two-dimensional projected wavefunctions. We then argue that generally, any two-dimensional d-wave superconductor should be unstable against Luttinger-liquid type correlations along the (quasi-1D) nodes of the d-wave order parameter, at temperatures small compared to the gap.

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29

Kakehashi, Yoshiro, Sumal Chandra, Derwyn Rowlands, and M. Atiqur R. Patoary. "Momentum-dependent local ansatz approach to correlated electrons." Modern Physics Letters B 28, no. 19 (2014): 1430007. http://dx.doi.org/10.1142/s0217984914300075.

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The wavefunction method provides us with a useful tool to describe electron correlations in solids at the ground state. In this paper we review the recent development of the momentum-dependent local ansatz (MLA) wavefunction. It is constructed by taking into account two-particle excited states projected onto the local orbitals, and the momentum-dependent amplitudes of these states are chosen as variational parameters. The MLA describes accurately correlated electron states from the weak to the intermediate Coulomb interaction regime in infinite dimensions, and works well even in the strongly correlated region by introducing a new starting wavefunction called the hybrid (HB) wavefunction. The MLA-HB is therefore shown to overcome the limitation of the original local ansatz (LA) wavefunction as well as the Gutzwiller wavefunction. In particular, the calculated quasiparticle weight versus Coulomb interaction curve is shown to be close to that obtained by the numerical renormalization group approach. It is also shown that the MLA is applicable to the first-principles Hamiltonian.

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30

Hasegawa, H. "Electron correlations in narrow-band systems at finite temperatures: Gutzwiller-type variational approach." Journal of Physics: Condensed Matter 1, no. 47 (1989): 9325–48. http://dx.doi.org/10.1088/0953-8984/1/47/005.

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31

Tarento, Ren�-Jean, Pierre Joyes, and Jean Walle. "Electronic structure of metallic (aluminium) cluster embedded in4He (liquid, cluster) : a Gutzwiller approach." Zeitschrift f�r Physik D Atoms, Molecules and Clusters 26, S1 (1993): 33–35. http://dx.doi.org/10.1007/bf01425609.

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32

Julien, J. P., R. C. Albers, and J. Bouchet. "Effect of spin–orbit coupling on an ab initio Gutzwiller approach for Pu." Journal of Alloys and Compounds 444-445 (October 2007): 285–87. http://dx.doi.org/10.1016/j.jallcom.2007.06.075.

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33

Tarento, René-Jean, and Pierre Joyes. "Gutzwiller-type approach of the size-dependent valence change in small Pr aggregates." Physical Review B 41, no. 7 (1990): 4547–51. http://dx.doi.org/10.1103/physrevb.41.4547.

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34

Zhang, Feng, Zhuo Ye, Yong-Xin Yao, Cai-Zhuang Wang, and Kai-Ming Ho. "A random-sampling method as an efficient alternative to variational Monte Carlo for solving Gutzwiller wavefunctions." Journal of Physics Communications 5, no. 12 (2021): 125003. http://dx.doi.org/10.1088/2399-6528/ac3c32.

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Abstract We present a random-sampling (RS) method for evaluating expectation values of physical quantities using the variational approach. We demonstrate that the RS method is computationally more efficient than the variational Monte Carlo method using the Gutzwiller wavefunctions applied on single-band Hubbard models as an example. Non-local constraints can also been easily implemented in the current scheme that capture the essential physics in the limit of strong on-site repulsion. In addition, we extend the RS method to study the antiferromagnetic states with multiple variational parameters for 1D and 2D Hubbard models.

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35

CHEN, YONG-CONG. "OPTIMIZING THE RVB STATE ON A TRIANGULAR LATTICE: PRESENCE OF THE LONG RANGE ORDER." Modern Physics Letters B 08, no. 20 (1994): 1253–60. http://dx.doi.org/10.1142/s0217984994001242.

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We present a Schwinger boson approach for the RVB state of the spin-1/2 Heisenberg antiferromagnet on a triangular lattice. It is shown that a Gutzwiller projection of the mean field state that includes both antiferromagnetic and ferromagnetic decouplings leads to optimizing the RVB pair amplitudes within a self-consistent approximation. The resulting state yields, by Monte Carlo simulations, energies and spin-spin correlations in excellent agreement with the exact diagonalization result on finite lattices (up to 36 sites). We conclude that the optimized RVB wave function possesses a long range three-sublattice order.

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36

Lavagna, M. "Functional-integral approach to strongly correlated Fermi systems: Quantum fluctuations beyond the Gutzwiller approximation." Physical Review B 41, no. 1 (1990): 142–48. http://dx.doi.org/10.1103/physrevb.41.142.

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37

Fratini, S., B. Valenzuela, and D. Baeriswyl. "Variational wave function for generalized Wigner lattices in one dimension." Journal de Physique IV 12, no. 9 (2002): 69–72. http://dx.doi.org/10.1051/jp4:20020357.

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We study a system of electrons on a one-dimensional lattice, interacting through the long range Coulomb forces, by means of a variational technique which is the strong coupling analog of the Gutzwiller approach. The problem is thus the quantum version of Hubbard's classical model of the generalized Wigner crystal [J. Hubbard, Phys. Rev. B 17, 494 (1978)]. The magnetic exchange energy arising from quantum fluctuations is calculated, and turns out to be smaller than the energy scale governing charge degrees of freedom. This approach could be relevant in insulating quasi-one-dimensional compounds where the long range Coulomb interactions are not screened. In these compounds charge order often appears at high temperatures and coexists with magnetic order at low temperatures.

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38

Cechin, José Carlos, and Ronaldo Mota. "Transição metal-isolante em fulleritos dopados com metais alcalinos." Ciência e Natura 18, no. 18 (1996): 07. http://dx.doi.org/10.5902/2179460x26537.

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In the present article of the metallic or insulating characters of alkali doped is studied. In particular, the ocurrence of a metalic phase in potassium doped systems and its nonocurrence in sodium doped systems are analysed through the Gutzwiller approximation on a deqenerate Hubbard model. Using interaction and bandwidth parameters derived from INDO-CI calculations in the molecular cluster approach, as presented earlier by Coutinho, Canuto, Mota and Fazzio, the nonmetal-metal transitions are discussed in the systems. From the obtained results for the relation between the derived parameters and doping concentrations, it is possible to help to elucidate the diverse behaviours presented by fullerides doped with potassium and sodium.

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39

Kaczmarczyk, J., J. Jędrak, and J. Spałek. "Unconventional Superconducting States of an Almost Localized Fermionic Liquid with Nonstandard Quasiparticles: Generalized Gutzwiller Approach." Acta Physica Polonica A 118, no. 2 (2010): 261–66. http://dx.doi.org/10.12693/aphyspola.118.261.

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40

Rasul, J. W., and Tiecheng Li. "One-loop corrections to the Gutzwiller approach to strongly interacting fermions, with application to liquid3He." Journal of Physics C: Solid State Physics 21, no. 29 (1988): 5119–27. http://dx.doi.org/10.1088/0022-3719/21/29/009.

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41

ALIGIA, A. A., and M. AVIGNON. "ALLOY ANALOG APPROACH AND THE GUTZWILLER APPROXIMATION AS PARTICULAR CASES OF A MEAN-FIELD THEORY." International Journal of Modern Physics B 06, no. 20 (1992): 3341–52. http://dx.doi.org/10.1142/s021797929200147x.

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We develop a new mean field-theory for systems with on-site correlations, like the Hubbard and Anderson models. It consists in a generalization of the saddle-point approximation to the functional integral representation proposed by Kotliar and Ruckenstein to more than one saddle point. It contains also the alloy analog approximation proposed by Hubbard as a particular case. For a half-filled Hubbard model and a model density of states appropriate for three dimensions, we obtain a metal to insulator transition as U increases. The effective Hamiltonian for the insulating phase contains two split bands (rather than only one with an extremely heavy mass) which reproduce correctly the Green’s functions of the atomic limit.

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42

Kotliar, Gabriel, and Andrei E. Ruckenstein. "New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point." Physical Review Letters 57, no. 11 (1986): 1362–65. http://dx.doi.org/10.1103/physrevlett.57.1362.

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43

Mishra, A. K., and R. Kishore. "Distinct solutions of infinite U Hubbard model through nested Bethe ansatz and Gutzwiller projection operator approach." Physica B: Condensed Matter 404, no. 19 (2009): 3257–60. http://dx.doi.org/10.1016/j.physb.2009.07.116.

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44

Linneweber, Thorben, Jörg Bünemann, Zakaria M. M. Mahmoud, and Florian Gebhard. "Gutzwiller variational approach to the two-impurity Anderson model for a metallic host at particle-hole symmetry." Journal of Physics: Condensed Matter 29, no. 44 (2017): 445603. http://dx.doi.org/10.1088/1361-648x/aa89d1.

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45

Spałek, J., and M. Zegrodnik. "Spin-triplet paired state induced by Hund’s rule coupling and correlations: a fully statistically consistent Gutzwiller approach." Journal of Physics: Condensed Matter 25, no. 43 (2013): 435601. http://dx.doi.org/10.1088/0953-8984/25/43/435601.

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46

Wysokiński, Marcin M., and Jozef Spałek. "Properties of an almost localized Fermi liquid in an applied magnetic field revisited: a statistically consistent Gutzwiller approach." Journal of Physics: Condensed Matter 26, no. 5 (2014): 055601. http://dx.doi.org/10.1088/0953-8984/26/5/055601.

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47

Dzierzawa, M., and R. Fr�sard. "Gutzwiller wave-function approach to spiral magnetic order in the two-dimensional Hubbard model: A variational Monte Carlo study." Zeitschrift f�r Physik B Condensed Matter 91, no. 2 (1993): 245–50. http://dx.doi.org/10.1007/bf01315242.

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48

LAVAGNA, M. "CHARGE AND SPIN FLUCTUATIONS IN THE HUBBARD MODEL: FERMI LIQUID PROPERTIES AT LOW TEMPERATURES." International Journal of Modern Physics B 05, no. 06n07 (1991): 885–905. http://dx.doi.org/10.1142/s021797929100047x.

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We review the slave-boson representations of the Hubbard model. When both spin and charge fermion degrees of freedom are represented by Bose fields, the approach is equivalent at the "self-consistent" saddle point level to the Gutzwiller approximation (GA). We show how the determination of the Lagrange multipliers, introduced to enforce the constraints, involves a Mott-Hubbard gap near half-filling for U > U c (localization edge). The quantum fluctuations are then considered within a renormalized basis of boson fields (restoring the spin-rotation invariance), which brings out two distinct channels, symmetric and antisymmetric. It is remarkable that both spin and charge fluctuations are obtained at the same level of the gaussian fluctuations, as oppossed to the standard 1/N expansion. This provides the microscopic basis for a Fermi liquid theory. Both dynamic effects and extension to finite temperature which were beyond the scope of the variational procedure can now be described by this approach. The physical implications of the model (dynamic correlation functions, T3Ln T term of the specific heat, superfluid instability) are finally considered, all of which reflect the Fermi liquid nature of the system.

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49

Ruckenstein, Andrei E., and Stefan Schmitt-Rink. "SINGLE SPIN FLIP IN THE INFINITE U HUBBARD MODEL: HUBBARD OPERATORS, THREE-BODY FADEEV EQUATIONS AND GUTZWILLER WAVE FUNCTIONS." International Journal of Modern Physics B 03, no. 12 (1989): 1809–32. http://dx.doi.org/10.1142/s0217979289001160.

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We investigate a recently proposed many-body theory for composite (Hubbard) operators (A.E. Ruckenstein and S. Schmitt-Rink, Phys. Rev. B38, 7188 (1988)) in the context of the problem of a single spin flip in the saturated ferromagnetic state of the infinite U Hubbard model. We prove that the suitably defined strong coupling Hartree-Fock mean field theory leads to results identical to those obtained from the Gutzwiller wave function through exact evaluation of the kinetic energy. Most interestingly, we also show how exactly the same results can be obtained starting from the weak coupling limit by solving analytically the three-body t-matrix (Fadeev) equations in the infinite U limit. This work also sheds light on the physical content of slave boson approximations to which our approach was previously shown to be equivalent in the limit of large spin or orbital degeneracy. For the single spin flip problem we compare our results with those obtained by Bethe-Goldstone perturbation theory, Bethe Ansatz in one dimension, and exact diagonalization studies.

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Arrigoni, E., and G. C. Strinati. "Beyond the Gutzwiller approximation in the slave-boson approach: Inclusion of fluctuations with the correct continuum limit of the functional integral." Physical Review Letters 71, no. 19 (1993): 3178–81. http://dx.doi.org/10.1103/physrevlett.71.3178.

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