Journal articles: 'Extended Haldane model'

1

Ejima, Satoshi, and Holger Fehske. "Entanglement properties of the nontrivial Haldane insulator in the 1D extended Bose-Hubbard model." Journal of Physics: Conference Series 592 (March 18, 2015): 012134. http://dx.doi.org/10.1088/1742-6596/592/1/012134.

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Baake, Michael, and Ellen Baake. "An Exactly Solved Model for Mutation, Recombination and Selection." Canadian Journal of Mathematics 55, no. 1 (2003): 3–41. http://dx.doi.org/10.4153/cjm-2003-001-0.

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AbstractIt is well known that rather generalmutation-recombination models can be solved algorithmically (though not in closed form) by means of Haldane linearization. The price to be paid is that one has to work with a multiple tensor product of the state space one started from.Here, we present a relevant subclass of such models, in continuous time, with independent mutation events at the sites, and crossover events between them. It admits a closed solution of the corresponding differential equation on the basis of the original state space, and also closed expressions for the linkage disequilibria, derived by means of Möbius inversion. As an extra benefit, the approach can be extended to a model with selection of additive type across sites. We also derive a necessary and sufficient criterion for the mean fitness to be a Lyapunov function and determine the asymptotic behaviour of the solutions.

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Yamauchi, Kunihiko, Hideaki Maebashi, and Hiroshi Katayama-Yoshida. "Charge and Spin States of Transition-Metal Atoms in a Hemoprotein Based on the Extended Haldane–Anderson Model." Journal of the Physical Society of Japan 72, no. 8 (2003): 2029–32. http://dx.doi.org/10.1143/jpsj.72.2029.

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Давыдов, С. Ю. "Электрон-электронное и электрон-фононное взаимодействия в графене на полупроводниковой подложке: простые оценки". Физика и техника полупроводников 52, № 3 (2018): 353. http://dx.doi.org/10.21883/ftp.2018.03.45621.8658.

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AbstractThe problem of epitaxial graphene formed on a semiconductor substrate is considered in the context of the extended Hubbard and Holstein–Hubbard models for electron–electron and electron–phonon interactions. The Haldane–Anderson model is chosen for the density of states of the substrate. Three regions of the phase diagram, specifically, spin- and charge-density waves and a spin- and charge-homogeneous paramagnetic state are considered. For a number of special cases used as examples, the similarities and differences of the electron states of graphene on semiconductor and metal substrates are demonstrated. It is shown that the main difference arises, if the Dirac point of graphene lies within the band gap of the semiconductor. Numerical estimations are performed for a SiC substrate.

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5

Khokher, Zahid ur Rehman. "Early Warning Signals to Predict Islamic Bank Failure." Asia Proceedings of Social Sciences 2, no. 2 (2018): 147–51. http://dx.doi.org/10.31580/apss.v2i2.429.

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 The paper empiricialy tests the use of various stability factors as early warning signals that can effectively predict the failure in Islamic banking institutions. These early warning signals enable the regulatory and supervisory authorities to take timely corrective action to safeguard the interest of fund providers such as depositors, investment account holders, creditors as well as other stakeholders. Using a 10-year panel data of 65 Islamic banks from 13 banking systems in the Middle East, North Africa, Asia and Europe, this study uses six stability indicators of CAMELS supervisory framework in a logistic model to see their effecitveness in predicting distress in Islamic banks. The model is then extended with the alternative capital are leverage ratios as well as macroeconomic variables in order to see whether simple leverage ratio offers better estimation results than the complex, risk weighted measures as debated by (Haldane, 2012).

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Mandal, Arindam, Saswati Biswas, and Samares Pal. "Toxicity-mediated regime shifts in a contaminated nutrient–plankton system." Chaos: An Interdisciplinary Journal of Nonlinear Science 33, no. 2 (2023): 023106. http://dx.doi.org/10.1063/5.0122206.

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In this article, we contemplate the dynamics of a three-tier system of nutrient, phytoplankton, and zooplankton with a gestation delay of discrete type and a distributed delay in nutrient recycling. Phytoplankton secretion-mediated alteration in the grazing pattern of zooplankton is encapsulated by a Monod–Haldane functional response. We carry out global sensitivity analysis for identifying the crucial model parameters having a significant impact on zooplankton density. The system potentially exhibits bistable configurations under identical ecological conditions by allowing different bifurcation scenarios, including multiple saddle-node and transcritical bifurcations with varying input rates of nutrients and inhibitory effects of phytoplankton against zooplankton. We observe that the gestation delay in zooplankton is responsible for the emergence of noxious bloom events. Interestingly, when the delay parameter crosses a threshold, the system experiences chaotic disorder, which prognosticates the onset of irregular bloom. Furthermore, by adding Gaussian white noise, we have extended the deterministic model to its stochastic counterpart. We found that white noise appears to regulate the survival and extinction of interacting populations. Comprehensive numerical simulations are consistent with mathematical results prognosticated by linear analysis.

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Tomei, M. C., M. C. Annesini, V. Piemonte, G. P. Prpich, and A. J. Daugulis. "Two-phase reactors applied to the removal of substituted phenols: comparison between liquid-liquid and liquid-solid systems." Water Science and Technology 62, no. 4 (2010): 776–82. http://dx.doi.org/10.2166/wst.2010.922.

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In this paper, a comparison is provided between liquid-liquid and liquid-solid partitioning systems applied to the removal of high concentrations of 4-nitrophenol. The target compound is a typical representative of substituted phenols found in many industrial effluents while the biomass was a mixed culture operating as a conventional Sequencing Batch Reactor and acclimatized to 4-nitrophenol as the sole carbon source. Both two-phase systems showed enhanced performance relative to the conventional single phase bioreactor and may be suitable for industrial application. The best results were obtained with the polymer Hytrel™ which is characterized by higher partition capability in comparison to the immiscible liquid solvent (2-undecanone) and to the polymer Tone™. A model of the two systems was formulated and applied to evaluate the relative magnitudes of the reaction, mass transfer and diffusion characteristic times. Kinetic parameters for the Haldane equation, diffusivity and mass transfer coefficients have been evaluated by data fitting of batch tests for liquid-liquid and liquid-solid two phase systems. Finally, preliminary results showed the feasibility of polymer regeneration to facilitate polymer reuse by an extended contact time with the biomass.

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Li, Fuxiang, L. Sheng, and D. Y. Xing. "Extended Haldane's model and its simulation with ultracold atoms." EPL (Europhysics Letters) 84, no. 6 (2008): 60004. http://dx.doi.org/10.1209/0295-5075/84/60004.

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9

Barbash, Daniel A., John Roote, and Michael Ashburner. "The Drosophila melanogaster Hybrid male rescue Gene Causes Inviability in Male and Female Species Hybrids." Genetics 154, no. 4 (2000): 1747–71. http://dx.doi.org/10.1093/genetics/154.4.1747.

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Abstract The Drosophila melanogaster mutation Hmr rescues inviable hybrid sons from the cross of D. melanogaster females to males of its sibling species D. mauritiana, D. simulans, and D. sechellia. We have extended previous observations that hybrid daughters from this cross are poorly viable at high temperatures and have shown that this female lethality is suppressed by Hmr and the rescue mutations In(1)AB and D. simulans Lhr. Deficiencies defined here as Hmr− also suppressed lethality, demonstrating that reducing Hmr+ activity can rescue otherwise inviable hybrids. An Hmr+ duplication had the opposite effect of reducing the viability of female and sibling X-male hybrid progeny. Similar dose-dependent viability effects of Hmr were observed in the reciprocal cross of D. simulans females to D. melanogaster males. Finally, Lhr and Hmr+ were shown to have mutually antagonistic effects on hybrid viability. These data suggest a model where the interaction of sibling species Lhr+ and D. melanogaster Hmr+ causes lethality in both sexes of species hybrids and in both directions of crossing. Our results further suggest that a twofold difference in Hmr+ dosage accounts in part for the differential viability of male and female hybrid progeny, but also that additional, unidentified genes must be invoked to account for the invariant lethality of hybrid sons of D. melanogaster mothers. Implications of our findings for understanding Haldane's rule—the observation that hybrid breakdown is often specific to the heterogametic sex—are also discussed.

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10

Nag, Tanay, and Saptarshi Mandal. "Extended Haldane model- a modern gateway to topological insulators." Journal of Physics: Condensed Matter, February 17, 2025. https://doi.org/10.1088/1361-648x/adb6e9.

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Abstract The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence of spin-orbit interaction as well as Zeeman field such that the flavour of Kane-Mele model is invoked. Adopting this extended Haldane model as an example, we elucidate, in a transparent manner, a number of topological features in a pedagogical manner. First, we describe various first order topological insulator phases and their characterizations while explaining various anomalous quantum Hall effects and quantum spin Hall effects in the extended Haldane model. Second, we demonstrate the concepts of higher order topological insulator phases along with the topological invariants in the anisotropic limit of the extended Haldane model. At the end, we discuss various open issues involving emergent or extended symmetries that might lead to a broader understanding of various topological phases and the associated criteria behind their emergence.

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11

Sicks, Johannes, and Heiko Rieger. "Haldane insulator in the 1D nearest-neighbor extended Bose-Hubbard model with cavity-mediated long-range interactions." European Physical Journal B 93, no. 6 (2020). http://dx.doi.org/10.1140/epjb/e2020-10109-3.

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Abstract In the one-dimensional Bose-Hubbard model with on-site and nearest-neighbor interactions, a gapped phase characterized by an exotic non-local order parameter emerges, the Haldane insulator. Bose-Hubbard models with cavity-mediated global range interactions display phase diagrams, which are very similar to those with nearest-neighbor repulsive interactions, but the Haldane phase remains elusive there. Here we study the one-dimensional Bose-Hubbard model with nearest-neighbor and cavity-mediated global-range interactions and scrutinize the existence of a Haldane Insulator phase. With the help of extensive quantum Monte-Carlo simulations we find that in the Bose-Hubbard model with only cavity-mediated global-range interactions no Haldane phase exists. For a combination of both interactions, the Haldane Insulator phase shrinks rapidly with increasing strength of the cavity-mediated global-range interactions. Thus, in spite of the otherwise very similar behavior the mean-field like cavity-mediated interactions strongly suppress the non-local order favored by nearest-neighbor repulsion in some regions of the phase diagram. Graphical abstract

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12

Ćosić, Ivana, Marija Vuković, Zoran Gomzi, and Felicita Briški. "Modelling of kinetics of microbial degradation of simulated leachate from tobacco dust waste." Chemical Papers 67, no. 9 (2013). http://dx.doi.org/10.2478/s11696-012-0287-3.

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AbstractThis paper presents a kinetic analysis of the biodegradation of organic pollutants in a batch bioreactor and investigates the kinetic properties of activated sludge using different mathematical models. The treatment was conducted for different initial concentrations of leachate from 500 mg dm−3 to 5000 mg dm−3 and initial concentrations of activated sludge from 1.84 g dm−3 to 6.62 g dm−3 over 48 h. Four different kinetic models were applied to the data. The kinetic analysis was performed with the traditional Monod model, the modified Monod model with endogenous metabolism, the Haldane model, and the Haldane model extended to include endogenous metabolic consumption and known as the Endo-Haldane model. Kinetic parameters for each model were determined using differential analysis and the Nelder-Mead method of non-linear regression. The lowest deviations and very good matches with the experimental data were achieved using the Endo-Haldane model. This indicated that this model best described the process of biodegradation of leachate from tobacco waste composting. This is due to this model incorporating the effects both of inhibition and endogenous metabolism.

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13

Shao, Can, Eduardo V. Castro, Shijie Hu, and Rubem Mondaini. "Interplay of local order and topology in the extended Haldane-Hubbard model." Physical Review B 103, no. 3 (2021). http://dx.doi.org/10.1103/physrevb.103.035125.

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14

Wang, Bao-Qing, Can Shao, Takami Tohyama, Hong-Gang Luo, and Hantao Lu. "Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion." Physical Review B 110, no. 3 (2024). http://dx.doi.org/10.1103/physrevb.110.035107.

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15

Balasubramanian, P., Philip Ligy, and Murty Bhallamudi S. "Effect of Chloroform on Aerobic Biodegradation of Organic Solvents in Pharmaceutical Wastewater." June 22, 2011. https://doi.org/10.5281/zenodo.1070369.

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In this study, cometabolic biodegradation of chloroform was experimented with mixed cultures in the presence of various organic solvents like methanol, ethanol, isopropanol, acetone, acetonitrile and toluene as these are predominant discharges in pharmaceutical industries. Toluene and acetone showed higher specific chloroform degradation rate when compared to other compounds. Cometabolic degradation of chloroform was further confirmed by observation of free chloride ions in the medium. An extended Haldane model, incorporating the inhibition due to chloroform and the competitive inhibition between primary substrates, was developed to predict the biodegradation of primary substrates, cometabolic degradation of chloroform and the biomass growth. The proposed model is based on the use of biokinetic parameters obtained from single substrate degradation studies. The model was able to satisfactorily predict the experimental results of ternary and quaternary mixtures. The proposed model can be used for predicting the performance of bioreactors treating discharges from pharmaceutical industries.

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16

Cuzzuol, Nitya, and Arianna Montorsi. "Fundamental role of nonlocal orders in 1D extended Bose–Hubbard model." Chaos: An Interdisciplinary Journal of Nonlinear Science 34, no. 6 (2024). http://dx.doi.org/10.1063/5.0206798.

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Nonlocal order parameters capture the presence of correlated fluctuations between specific degrees of freedom, in otherwise disordered quantum matter. Here, we provide a further example of their fundamental role, deriving the ground state phase diagram of the filling one extended Bose–Hubbard model, exclusively in terms of their ordering. By means of a density matrix renormalization group numerical analysis, we show that in addition to the (even) parity order characteristic of the Mott insulating phase and the string order nonvanishing in the Haldane insulator, the recently proposed odd parity order completes the picture, becoming nonvanishing at the transition from the normal superfluid to the paired superfluid phase. The above three nonlocal parameters capture all the distinct phases, including the density wave phase, in which the local order is seen as the simultaneous presence of correlated fluctuations in different channels. They provide a unique tool for the experimental observation of the full phase diagram of strongly correlated quantum matter, by means of local density measurements.

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17

Batrouni, G. G., R. T. Scalettar, V. G. Rousseau, and B. Grémaud. "Competing Supersolid and Haldane Insulator Phases in the Extended One-Dimensional Bosonic Hubbard Model." Physical Review Letters 110, no. 26 (2013). http://dx.doi.org/10.1103/physrevlett.110.265303.

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18

Saha, Sudarshan, Tanay Nag, and Saptarshi Mandal. "Multiple higher-order topological phases with even and odd pairs of zero-energy corner modes in a C3 symmetry broken model." Europhysics Letters, May 19, 2023. http://dx.doi.org/10.1209/0295-5075/acd71a.

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Abstract Here we study emergent higher-order topological (HOTI) phases in the extended Haldane model without C3 symmetry. For inversion symmetric case, the QSHI and QAHI phases can embed the HOTI phases while remaining QASHI phase does not yields any HOTI phases. Remarkably, four-fold degeneracy of zero-energy corner states can be reduced to two-fold under the application (withdrawn) of sub-lattice mass (Zeeman eld) term. The sub-lattice mass and Zeeman eld terms compete with each other to pin down the two mid-gap states at zero-energy. Interestingly, the bulk-polarization can topologically characterize the second-order topological insulator phase with the mid-gap corner modes irrespective of their energies as long as inversion symmetry is preserved. Our study indicates that a hybrid symmetry can in principle protect the second-order topological insulator phases, however, spin-spectrum gap has to be essentially nite there.

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19

Cai, Han, and Da-Wei Wang. "Topological phases of quantized light." National Science Review, August 31, 2020. http://dx.doi.org/10.1093/nsr/nwaa196.

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Abstract Topological photonics is an emerging research area that focuses on the topological states of classical light. Here we reveal the topological phases that are intrinsic to the quantum nature of light, i.e., solely related to the quantized Fock states and the inhomogeneous coupling strengths between them. The Hamiltonian of two cavities coupled with a two-level atom is an intrinsic one-dimensional Su-Schriefer-Heeger model of Fock states. By adding another cavity, the Fock-state lattice is extended to two dimensions with a honeycomb structure, where the strain due to the inhomogeneous coupling strengths of the annihilation operator induces a Lifshitz topological phase transition between a semimetal and three band insulators within the lattice. In the semimetallic phase, the strain is equivalent to a pseudomagnetic field, which results in the quantization of the Landau levels and the valley Hall effect. We further construct an inhomogeneous Fock-state Haldane model where the topological phases can be characterized by the topological markers. With d cavities being coupled to the atom, the lattice is extended to d − 1 dimensions without an upper limit. This study demonstrates a fundamental distinction between the topological phases in quantum and classical optics and provides a novel platform for studying topological physics in dimensions higher than three.

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20

Tang, Hao-Yuan, Xiao-Xuan Li, Jia-Bin You, and Xiao-Qiang Shao. "Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms." APL Quantum 1, no. 3 (2024). http://dx.doi.org/10.1063/5.0211177.

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Laser-induced gauge fields in neutral atoms serve as a means of mimicking the effects of a magnetic field, providing researchers with a platform to explore behaviors analogous to those observed in condensed matter systems under real magnetic fields. Here, we propose a method to generate chiral motion in atomic excitations within the neutral atomic ground-state manifolds. This is achieved through the application of polychromatic driving fields coupled to the ground–Rydberg transition, along with unconventional Rydberg pumping. The scheme offers the advantage of arbitrary adjustment of the effective magnetic flux by setting the relative phases between different external laser fields. In addition, the effective interaction strength between the atomic ground states can be maintained at 10 kHz, surpassing the capabilities of the previous approach utilizing Floquet modulation. Notably, the proposed method can be readily extended to implement a hexagonal neutral atom lattice, serving as the fundamental unit in realizing the Haldane model.

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21

Zhang, Weixuan, Hao Yuan, Na Sun, Houjun Sun, and Xiangdong Zhang. "Observation of novel topological states in hyperbolic lattices." Nature Communications 13, no. 1 (2022). http://dx.doi.org/10.1038/s41467-022-30631-x.

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AbstractThe discovery of novel topological states has served as a major branch in physics and material sciences. To date, most of the established topological states have been employed in Euclidean systems. Recently, the experimental realization of the hyperbolic lattice, which is the regular tessellation in non-Euclidean space with a constant negative curvature, has attracted much attention. Here, we demonstrate both in theory and experiment that exotic topological states can exist in engineered hyperbolic lattices with unique properties compared to their Euclidean counterparts. Based on the extended Haldane model, the boundary-dominated first-order Chern edge state with a nontrivial real-space Chern number is achieved. Furthermore, we show that the fractal-like midgap higher-order zero modes appear in deformed hyperbolic lattices, and the number of zero modes increases exponentially with the lattice size. These novel topological states are observed in designed hyperbolic circuit networks by measuring site-resolved impedance responses and dynamics of voltage packets. Our findings suggest a useful platform to study topological phases beyond Euclidean space, and may have potential applications in the field of high-efficient topological devices, such as topological lasers, with enhanced edge responses.

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22

Colbrook, Matthew J., Andrew Horning, Kyle Thicke, and Alexander B. Watson. "Computing spectral properties of topological insulators without artificial truncation or supercell approximation." IMA Journal of Applied Mathematics, January 31, 2023. http://dx.doi.org/10.1093/imamat/hxad002.

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Abstract Topological insulators (TIs) are renowned for their remarkable electronic properties: quantised bulk Hall and edge conductivities, and robust edge wave-packet propagation, even in the presence of material defects and disorder. Computations of these physical properties generally rely on artificial periodicity (the supercell approximation, which struggles in the presence of edges), or unphysical boundary conditions (artificial truncation). In this work, we build on recently developed methods for computing spectral properties of infinite-dimensional operators. We apply these techniques to develop efficient and accurate computational tools for computing the physical properties of TIs. These tools completely avoid such artificial restrictions and allow one to probe the spectral properties of the infinite-dimensional operator directly, even in the presence of material defects, edges, and disorder. Our methods permit computation of spectra, approximate eigenstates, spectral measures, spectral projections, transport properties, and conductances. Numerical examples are given for the Haldane model, and the techniques can be extended similarly to other TIs in two and three dimensions. This paper was solicited for publication as a result of Matthew Colbrook being the winner of the 2021 IMA Lighthill–Thwaites Prize Prize.

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23

Liu, Jian-Wei, Fu-Long Shi, Ke Shen, et al. "Antichiral surface states in time-reversal-invariant photonic semimetals." Nature Communications 14, no. 1 (2023). http://dx.doi.org/10.1038/s41467-023-37670-y.

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AbstractBesides chiral edge states, the hallmark of quantum Hall insulators, antichiral edge states can exhibit unidirectional transport behavior but in topological semimetals. Although such edge states provide more flexibility for molding the flow of light, their realization usually suffers from time-reversal breaking. In this study, we propose the realization of antichiral surface states in a time-reversal-invariant manner and demonstrate our idea with a three-dimensional (3D) photonic metacrystal. Our system is a photonic semimetal possessing two asymmetrically dispersed Dirac nodal lines. Via dimension reduction, the nodal lines are rendered a pair of offset Dirac points. By introducing synthetic gauge flux, each two-dimensional (2D) subsystem with nonzero kz is analogous to a modified Haldane model, yielding a kz-dependent antichiral surface transport. Through microwave experiments, the bulk dispersion with asymmetric nodal lines and associated twisted ribbon surface states are demonstrated in our 3D time-reversal-invariant system. Although our idea is demonstrated in a photonic system, we propose a general approach to realize antichiral edge states in time-reversal-invariant systems. This approach can be easily extended to systems beyond photonics and may pave the way for further applications of antichiral transport.

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Journal articles on the topic 'Extended Haldane model'

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