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Journal articles on the topic 'Luttinger Hamiltonian'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

MASTROPIETRO, VIERI. "ANOMALOUS SUPERCONDUCTIVITY IN COUPLED LUTTINGER LIQUIDS." Reviews in Mathematical Physics 12, no. 12 (2000): 1627–54. http://dx.doi.org/10.1142/s0129055x0000054x.

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According to Anderson ([1], p. 54) "the equivalent of BCS theory for a fully spin-charge separated Luttinger liquid has not been formally worked out". We consider a model for two one-dimensional spinning Luttinger liquids coupled via a Cooper tunnelling Hamiltonian. We show that the partition function is the four-dimensional integral of an exponential whose exponent has an extremal point obtained solving an anomalous non-BCS self-consistence equation. If the extremal point is a global minimum the model is completely solved by the saddle point theorem and the anomalous gap generation is proved.

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2

Rozhkov, A. V. "Fermionic quasiparticle representation of Tomonaga-Luttinger Hamiltonian." European Physical Journal B 47, no. 2 (2005): 193–206. http://dx.doi.org/10.1140/epjb/e2005-00312-3.

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3

Морозов, С. В., та М. С. Жолудев. "Применение метода матрицы рассеяния для расчета примесных состояний в полупроводниковых структурах". Письма в журнал технической физики 47, № 7 (2021): 26. http://dx.doi.org/10.21883/pjtf.2021.07.50795.18663.

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We adapted S-matrix method for calculation of energy levels and carrier wavefunctions near impurity/defect states. We demonstrate the possibility of implying this method for multiband models on the example of Luttinger Hamiltonian with Coulomb acceptor in the spherical symmetry approximation. The obtained energies of discrete levels are in well agreement with results of calculations performed by other methods.

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4

Belov, P. A. "Calculation of energy states of excitons in square quantum wells." Физика и техника полупроводников 52, no. 5 (2018): 495. http://dx.doi.org/10.21883/ftp.2018.05.45839.28.

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AbstractThe ground and excited energy states of excitons in single square GaAs-based quantum wells are found by the numerical solution of the three-dimensional Schrödinger equation. This equation is obtained within the envelope-function formalism from the exciton energy operator using the spherical approximation of the Luttinger Hamiltonian. Precise results for the exciton states are achieved by the finite-difference method. The radiative decay rates of the calculated states are also determined.

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5

Zhang, Guangming, Hong Chen, and Wu Xiang. "Phase Transition of the Isotropic Kondo Hamiltonian: A “Luttinger-Liquid” Description." Communications in Theoretical Physics 16, no. 1 (1991): 97–102. http://dx.doi.org/10.1088/0253-6102/16/1/97.

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6

Lee, Johnson, and M. O. Vassell. "Influence of uniaxial stress on hole effective masses in quantum wells." Canadian Journal of Physics 66, no. 12 (1988): 1088–93. http://dx.doi.org/10.1139/p88-174.

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The hole effective masses in quantum wells under uniaxial stress are investigated. The valence subband structures are determined from a 4 × 4 Luttinger–Kohn Hamiltonian together with a 4 × 4 strain Hamiltonian with appropriate boundary conditions. The variations of the hole effective masses with well width, stress, and potential-barrier height (or the corresponding alloy composition) are discussed and found to be drastic. For example, even if the quantum well is stress free, the variations of the hole effective masses with well width can range from +∞ to −∞ and are not constant, as predicted b

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7

MA, TIANXING. "RESONANT SPIN POLARIZATION IN A TWO-DIMENSIONAL HOLE GAS." Modern Physics Letters B 25, no. 15 (2011): 1259–70. http://dx.doi.org/10.1142/s0217984911026279.

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Within the Luttinger Hamiltonian, electric-field-induced resonant spin polarization of a two-dimensional hole gas in a perpendicular magnetic field was studied. The spin polarization arising from splitting between the light and the heavy hole bands shows a resonant peak at a certain magnetic field. Especially, the competition between the Luttinger term and the structural inversion asymmetry leads to a rich resonant peaks structure, and the required magnetic field for the resonance may be effectively reduced by enlarging the effective width of the quantum well. Furthermore, the Zeeman splitting

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8

Wang, Xindong, and X. G. Zhang. "Spin symmetry and spin current of helicity eigenstates of the Luttinger Hamiltonian." Journal of Magnetism and Magnetic Materials 288 (March 2005): 297–300. http://dx.doi.org/10.1016/j.jmmm.2004.09.109.

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9

Cornean, Horia D., Viorel Iftimie, and Radu Purice. "Peierls’ substitution via minimal coupling and magnetic pseudo-differential calculus." Reviews in Mathematical Physics 31, no. 03 (2019): 1950008. http://dx.doi.org/10.1142/s0129055x19500089.

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We revisit the celebrated Peierls–Onsager substitution for weak magnetic fields with no spatial decay conditions. We assume that the non-magnetic [Formula: see text]-periodic Hamiltonian has an isolated spectral band whose Riesz projection has a range which admits a basis generated by [Formula: see text] exponentially localized composite Wannier functions. Then we show that the effective magnetic band Hamiltonian is unitarily equivalent to a Hofstadter-like magnetic matrix living in [Formula: see text]. In addition, if the magnetic field perturbation is slowly variable in space, then the pertu

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10

Bilynskyi, I. V., R. Ya Leshko, H. O. Metsan, and I. S. Shevchuk. "Hole States in Spherical Quantum Nanoheterosystem with Intermediate Spin-Orbital Interaction." Фізика і хімія твердого тіла 20, no. 3 (2019): 227–33. http://dx.doi.org/10.15330/pcss.20.3.227-233.

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The hole energy spectrum has been studied for the spherical semiconductor nanoheterosystem with the cubic symmetry. The exact solutions of the Schrödinger equation for the ground and excited hole states are presented within the framework of the 6-band Luttinger Hamiltonian and the finite gap of bands with the corresponding boundary conditions. Dependence of the holes energies from the radius of the quantum dot has been calculated for the GaAs/AlAs heterostructure. Obtained results where compared with data obtained using the infinite potential well model, as well as the single-band model for he

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11

Belykh, V. G., and V. N. Tulupenko. "Hole subbands in quantum wells: exact solution for six-dimensional Luttinger–Kohn Hamiltonian." Semiconductor Science and Technology 24, no. 2 (2008): 025006. http://dx.doi.org/10.1088/0268-1242/24/2/025006.

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12

Suemasa, Riki, and Yuki Fuseya. "Nontrivial contributions to the magnetoconductivity due to anomalousg-factor in the Luttinger Hamiltonian." Journal of Physics: Conference Series 603 (April 28, 2015): 012022. http://dx.doi.org/10.1088/1742-6596/603/1/012022.

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13

HINO, KEN-ICH. "NOVEL APPROACH TO FANO RESONANCE OF EXCITONS IN SEMICONDUCTOR QUANTUM WELLS." International Journal of Modern Physics B 15, no. 28n30 (2001): 3785–88. http://dx.doi.org/10.1142/s0217979201008664.

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A new approach to Fano resonance of excitons in quantum-confined systems is presented based on the 4×4 Luttinger Hamiltonian. This method, consisting of two stages, namely, the adiabatic expansion and the R-matrix propagation, allows to implement high-resolution calculations of Fano profiles having natural spectral widths without any empirical broadening parameter which is indispensable in conventional methods. As a demonstration, this approach is applied to Fano resonance of an exciton in a wide quantum well, where hole-subband mixing is substantial and a complicated energy-structure is expec

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14

GUNES, M., E. KASAPOGLU, H. SARI, K. AKGUNGOR, and I. SÖKMEN. "FINITE ELEMENT ANALYSIS OF VALENCE BAND STRUCTURE OF SQUARE QUANTUM WELL UNDER THE ELECTRIC FIELD." Surface Review and Letters 16, no. 05 (2009): 689–96. http://dx.doi.org/10.1142/s0218625x09013177.

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Valence band structure with spin–orbit (SO) coupling of GaAs/Ga 1-x Al x As square quantum well (SQW) under the electric field by a calculation procedure based on a finite element method (FEM) is investigated using the multiband effective mass theory ([Formula: see text] method). The validity of the method is confirmed with the results of D. Ahn, S. L. Chuang and Y. C. Chang (J. Appl. Phys.64 (1998) 4056), who calculated valence band structure, using axial approximation for Luttinger–Kohn Hamiltonian and finite difference method. Our results demonstrated that SO coupling and electric field hav

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15

Ziani, Niccolo Traverso, Fabio Cavaliere, Karina Guerrero Becerra, and Maura Sassetti. "A Short Review of One-Dimensional Wigner Crystallization." Crystals 11, no. 1 (2020): 20. http://dx.doi.org/10.3390/cryst11010020.

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The simplest possible structural transition that an electronic system can undergo is Wigner crystallization. The aim of this short review is to discuss the main aspects of three recent experimets on the one-dimensional Wigner molecule, starting from scratch. To achieve this task, the Luttinger liquid theory of weakly and strongly interacting fermions is briefly addressed, together with the basic properties of carbon nanotubes that are required. Then, the most relevant properties of Wigner molecules are addressed, and finally the experiments are described. The main physical points that are addr

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16

Popoff, A., A. V. Lebedev, L. Raymond, T. Jonckheere, J. Rech, and T. Martin. "Renormalization flow of a weak extended backscattering Hamiltonian in a non-chiral Tomonaga–Luttinger liquid." Journal of Physics: Condensed Matter 33, no. 11 (2021): 115602. http://dx.doi.org/10.1088/1361-648x/abd525.

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17

Bhardwaj, Garima, Sandhya K., Richa Dolia, M. Abu-Samak, Shalendra Kumar, and P. A. Alvi. "A Comparative Study on Optical Characteristics of InGaAsP QW Heterostructures of Type-I and Type-II Band Alignments." Bulletin of Electrical Engineering and Informatics 7, no. 1 (2018): 35–41. http://dx.doi.org/10.11591/eei.v7i1.872.

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In this paper, we have configured InGaAsP QW (quantum well) heterostructures of type-I and type-II band alignments and simulated their optical characteristics by solving 6 x 6 Kohn-Luttinger Hamiltonian Matrix. According to the simulation results, the InGaAsP QW heterostructure of type-I band alignment has been found to show peak optical gain (TE mode) of the order of~3600/cm at the transition wavelength~1.40 µm; while of type-II band alignment has achieved the peak gain (TE mode) of the order of~7800/cm at the wavelength of~1.85 µm (eye safe region). Thus, both of the heterostructures can be

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18

Rodríguez, Salvador, J. Banqueri, and J. E. Carceller. "Evaluation of an Equivalent Hole Effective Mass for Si/SiGe Structures." VLSI Design 13, no. 1-4 (2001): 265–68. http://dx.doi.org/10.1155/2001/49319.

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We have studied the carrier profile and calculated a unique effective mass for a two-dimensional hole gas confined in a SiO2/Si/Si1_xGex/Si structure when an external voltage is applied. For this purpose, we have solved the system of differential equations provided by the 6 x 6 Luttinger Hamiltonian [1] simultaneously with the Poisson equation, applying an iterative process until convergence was achieved. This enabled us to incorporate the warping and the strong coupling among the subbands that constitute the band structure [2].From the calculated density of carriers we were able to evaluate a

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19

Becer, Zoubir, Abdeldjalil Bennecer, and Noureddine Sengouga. "Modeling Energy Bands in Type II Superlattices." Crystals 9, no. 12 (2019): 629. http://dx.doi.org/10.3390/cryst9120629.

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We present a rigorous model for the overall band structure calculation using the perturbative k · p approach for arbitrary layered cubic zincblende semiconductor nanostructures. This approach, first pioneered by Kohn and Luttinger, is faster than atomistic ab initio approaches and provides sufficiently accurate information for optoelectronic processes near high symmetry points in semiconductor crystals. k · p Hamiltonians are discretized and diagonalized using a finite element method (FEM) with smoothed mesh near interface edges and different high order Lagrange/Hermite basis functions, hence

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20

Wartak, M. S., P. Weetman, T. Alajoki, et al. "Optical modal gain in multiple quantum-well semiconductor lasers based on InP." Canadian Journal of Physics 84, no. 1 (2006): 53–66. http://dx.doi.org/10.1139/p06-005.

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An approach to determine the optical modal gain spectra in multiple quantum-well semiconductor lasers based on InP in terms of the current at electrodes is presented. The link between the current at the electrodes and the density of carriers inside each quantum well was provided by rate equations with the inclusion of carrier transport effects. Description of hole dispersion is based on a 4 × 4 Luttinger–Kohn Hamiltonian and was done with the electrostatic effects of the carrier charges. Electrostatic effects were included via a self-consistent solution of electron and hole wave equations and

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21

BOTHA, A. E. "EFFECT OF REMOTE BAND COUPLING ON NET RECOMBINATION CURRENT IN TYPE-II HETEROSTRUCTURES." International Journal of Nanoscience 05, no. 01 (2006): 119–29. http://dx.doi.org/10.1142/s0219581x06004139.

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Exact analytical expressions for the eigenvalues and eigenvectors of the six-band k · p matrix Hamiltonian for narrow-gap III–V semiconductors are used to derive an analytical expression for the transmission coefficient T in type-II heterojunctions. The remote band coupling is included via the two Luttinger-type parameters, γ1 and [Formula: see text]. The expression for T contains two separate contributions: one from electron to light-hole tunneling and the other from electron to heavy-hole tunneling. Using the expression for T, the net recombination current density J is defined and evaluated

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22

Cukaric, Nemanja, and Milan Tadic. "Multiband model of the valence-band electronic structure in cylindrical GaAs nanowires." Chemical Industry 64, no. 3 (2010): 165–70. http://dx.doi.org/10.2298/hemind091221028c.

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We compute the hole states in the GaAs free-standing nanowires, and in the GaAs/(Al,Ga)As core-shell nanowires of type I-s, which are grown along the [100] direction. The hole states are extracted from the 4-band Luttinger-Kohn Hamiltonian, which explicitly takes into account mixing between the light and heavy holes. The axial aproximation is adopted, which allowed classification of states according to the total angular monentum (fz when expressed in units of the Planck constant). The envelope functions are expanded in Bessel functions of the first kind. The dispersion relations of the subband

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23

Y.F. Liu, Shuai, and Ralf Rappxs. "Non-perturbative Approach to Equation of State and Collective Modes of the QGP." EPJ Web of Conferences 172 (2018): 05001. http://dx.doi.org/10.1051/epjconf/201817205001.

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We discuss a non-perturbative T-matrix approach to investigate the microscopic structure of the quark-gluon plasma (QGP). Utilizing an effective Hamiltonian which includes both light- and heavy-parton degrees of freedoms. The basic two-body interaction includes color-Coulomb and confining contributions in all available color channels, and is constrained by lattice-QCD data for the heavy-quark free energy. The in-medium T-matrices and parton spectral functions are computed selfconsistently with full account of off-shell properties encoded in large scattering widths. We apply the T-matrices to c

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24

Lal, Pyare, Rashmi Yadav, Meha Sharma, F. Rahman, S. Dalela, and P. A. Alvi. "Qualitative analysis of gain spectra of InGaAlAs/InP lasing nano-heterostructure." International Journal of Modern Physics B 28, no. 29 (2014): 1450206. http://dx.doi.org/10.1142/s0217979214502063.

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This paper deals with the studies of lasing characteristics along with the gain spectra of compressively strained and step SCH based In 0.71 Ga 0.21 Al 0.08 As/InP lasing nano-heterostructure within TE polarization mode, taking into account the variation in well width of the single quantum well of the nano-heterostructure. In addition, the compressive conduction and valence bands dispersion profiles for quantum well of the material composition In 0.71 Ga 0.21 Al 0.08 As at temperature 300 K and strain ~1.12% have been studied using 4 × 4 Luttinger Hamiltonian. For the proposed nano-heterostruc

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25

HU, JIANGPING, BOGDAN A. BERNEVIG, and CONGJUN WU. "SPIN CURRENT IN SPIN–ORBIT COUPLING SYSTEMS." International Journal of Modern Physics B 17, no. 31n32 (2003): 5991–6000. http://dx.doi.org/10.1142/s0217979203023537.

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We present a simple and pedagogical derivation of the spin current as the linear response to an external electric field for both Rashba and Luttinger spin–orbital coupling Hamiltonians. Except for the adiabatic approximation, our derivation is exact to the linear order of the electric field for both models. The spin current is a direct result of the difference in occupation levels between different bands. Moreover, we show a general topological spin current can be defined for a broad class of spin–orbit coupling systems.

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26

Kabel, Andreas, and Franz Wegner. "Flow equations for Hamiltonians: crossover from Luttinger to Landau-Liquid behaviour in the n-orbital model." Zeitschrift für Physik B Condensed Matter 103, no. 3 (1997): 555–59. http://dx.doi.org/10.1007/s002570050410.

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27

Luque, Antonio, Aleksandr Panchak, Alex Mellor, Alexey Vlasov, Antonio Martí, and Viacheslav Andreev. "Comparing the Luttinger–Kohn–Pikus–Bir and the Empiric K·P Hamiltonians in quantum dot intermediate band solar cells manufactured in zincblende semiconductors." Solar Energy Materials and Solar Cells 141 (October 2015): 39–48. http://dx.doi.org/10.1016/j.solmat.2015.05.013.

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28

Kibis, O. V., M. V. Boev, V. M. Kovalev, and I. A. Shelykh. "Floquet engineering of the Luttinger Hamiltonian." Physical Review B 102, no. 3 (2020). http://dx.doi.org/10.1103/physrevb.102.035301.

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29

Rasulov, Voxob Rustamovich, Rustam Yavkachovich Rasulov, Akhmedov Bahodir Bahromovich, and Ravshan Rustamovich Sultanov. "DIAGONAL AND NONDIAGONAL MATRIX ELEMENTS OF THE EFFECTIVE HAMILTONIAN OF ELECTRONS IN A SEMICONDUCTOR (TAKING INTO ACCOUNT SPIN-ORBIT INTERACTION)." EPRA International Journal of Multidisciplinary Research (IJMR), February 18, 2020, 120–27. http://dx.doi.org/10.36713/epra4015.

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The matrix elements of the effective Hamiltonian of current carriers are calculated as in the Kane approximation, where the conduction band, the valence band consisting of light and heavy hole subbands, and the spin-split band, as well as in the Luttinger-Kohn model, are considered. KEYWORDS: matrix element, effective Hamiltonian, current carriers, wave function.

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30

Jiang, Z., R. Li, Shou-Cheng Zhang, and W. Liu. "Semiclassical time evolution of the holes from Luttinger Hamiltonian." Physical Review B 72, no. 4 (2005). http://dx.doi.org/10.1103/physrevb.72.045201.

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31

Dubail, Jerome, Jean-Marie Stéphan, and Pasquale Calabrese. "Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids." SciPost Physics 3, no. 3 (2017). http://dx.doi.org/10.21468/scipostphys.3.3.019.

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The light-cone spreading of entanglement and correlation is a fundamental and ubiquitous feature of homogeneous extended quantum systems. Here we point out that a class of inhomogenous Luttinger liquids (those with a uniform Luttinger parameter KK) at low energy display the universal phenomenon of curved light cones: gapless excitations propagate along the null geodesics of the metric ds^2 = dx^2 - v(x)^2 dt^2ds2=dx2−v(x)2dt2, with v(x)v(x) being the calculable spatial dependent velocity induced by the inhomogeneity. We confirm our findings with explicit analytic and numerical calculations bot

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32

Markhof, Lisa, Mikhail Pletyukov, and Volker Meden. "Investigating the roots of the nonlinear Luttinger liquid phenomenology." SciPost Physics 7, no. 4 (2019). http://dx.doi.org/10.21468/scipostphys.7.4.047.

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The nonlinear Luttinger liquid phenomenology of one-dimensional correlated Fermi systems is an attempt to describe the effect of the band curvature beyond the Tomonaga-Luttinger liquid paradigm. It relies on the observation that the dynamical structure factor of the interacting electron gas shows a logarithmic threshold singularity when evaluated to first order perturbation theory in the two-particle interaction. This term was interpreted as the linear one in an expansion which was conjectured to resum to a power law. A field theory, the mobile impurity model, which is constructed such that it

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33

Dargys, A. "Luttinger-Kohn Hamiltonian and coherent excitation of the valence-band holes." Physical Review B 66, no. 16 (2002). http://dx.doi.org/10.1103/physrevb.66.165216.

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34

Yeo, Y. C., T. C. Chong, and M. F. Li. "Valence Band Parameters for Wurtzite GaN and InN." MRS Proceedings 482 (1997). http://dx.doi.org/10.1557/proc-482-923.

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AbstractTheoretical studies and design of quantum well lasers employing InGaN require material parameters for both GaN and InN. However, the Luttinger-like effective-mass parameters for InN are currently unavailable. In this work, we extract effective-mass parameters for wurtzite GaN and InN from their electronic band structures calculated using the Empirical Pseudopotential Method (EPM). We obtain the electron and hole (including the heavy- (HH), light- (LH), and crystal-field split-off (CH) holes) effective-masses at the Γ point in the kz and the in-plane kx-ky plane) directions using a para

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35

Sullivan, Joseph, and Meng Cheng. "Interacting edge states of fermionic symmetry-protected topological phases in two dimensions." SciPost Physics 9, no. 2 (2020). http://dx.doi.org/10.21468/scipostphys.9.2.016.

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Recently, it has been found that there exist symmetry-protected topological phases of fermions, which have no realizations in non-interacting fermionic systems or bosonic models. We study the edge states of such an intrinsically interacting fermionic SPT phase in two spatial dimensions, protected by \mathbb{Z}_4\times\mathbb{Z}_2^\mathsf{T}ℤ4×ℤ2𝖳 symmetry. We model the edge Hilbert space by replacing the internal \mathbb{Z}_4ℤ4 symmetry with a spatial translation symmetry, and design an exactly solvable Hamiltonian for the edge model. We show that at low-energy the edge can be described by a t

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36

Miserev, D. S., and O. P. Sushkov. "Dimensional reduction of the Luttinger Hamiltonian andg-factors of holes in symmetric two-dimensional semiconductor heterostructures." Physical Review B 95, no. 8 (2017). http://dx.doi.org/10.1103/physrevb.95.085431.

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37

Rozhkov, A. V. "Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion." Physical Review B 74, no. 24 (2006). http://dx.doi.org/10.1103/physrevb.74.245123.

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38

D’Alessio, Luca, and Armin Rahmani. "Thermally isolated Luttinger liquids with noisy Hamiltonians." Physical Review B 87, no. 17 (2013). http://dx.doi.org/10.1103/physrevb.87.174301.

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39

Mireles, Francisco, and Sergio E. Ulloa. "Acceptor Binding Energies in GaN and AIN." MRS Proceedings 482 (1997). http://dx.doi.org/10.1557/proc-482-839.

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AbstractWe present binding energy calculations for Mg, Zn, and C substitutional shallow acceptors in GaN and AIN for both, wurtzite (WZ) and zincblende (ZB) crystal phases. The calculations are performed within the effective mass theory through the 6 × 6 Rashba-Sheka-Pikus and the Luttinger- Kohn matrix Hamiltonians for WZ and ZB bulk crystals, respectively. An analytic representation for the pseudopotential is used to introduce the nature of the impurity atom. The energy shift due to polaron effects is also considered in this approach. The estimated ionization energies are in good agreement w

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40

Mukherjee, Anirban, Siddhartha Patra, and Siddhartha Lal. "Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)148.

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Abstract We perform a unitary renormalization group (URG) study of the 1D fermionic Hubbard model. The formalism generates a family of effective Hamiltonians and many-body eigenstates arranged holographically across the tensor network from UV to IR. The URG is realized as a quantum circuit, leading to the entanglement holographic mapping (EHM) tensor network description. A topological Θ-term of the projected Hilbert space of the degrees of freedom at the Fermi surface are shown to govern the nature of RG flow towards either the gapless Tomonaga-Luttinger liquid or gapped quantum liquid phases.

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