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We study numerically the charge conductance distributions of disordered quantum spin-Hall (QSH) systems using a quantum network model. We have found that the conductance distribution at the metal-QSH insulator transition is clearly…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 K. Kobayashi , T. Ohtsuki , H. Obuse , K. Slevin

Fractional quantum Hall-superconductor heterostructures may provide a platform towards non-abelian topological modes beyond Majoranas. However their quantitative theoretical study remains extremely challenging. We propose and implement a…

Strongly Correlated Electrons · Physics 2018-05-08 C. Repellin , A. M. Cook , T. Neupert , N. Regnault

We investigate the role of quantum fluctuations in topological quantum phase transitions of quantum spin Hall insulators and quantum anomalous Hall insulators. Employing the variational cluster approximation to obtain the single-particle…

Strongly Correlated Electrons · Physics 2014-04-08 Jan Carl Budich , Ronny Thomale , Gang Li , Manuel Laubach , Shou-Cheng Zhang

In magnetic topological insulators, a phase transition between a quantum anomalous Hall (QAH) and an Anderson localization phase can be triggered by the rotation of an applied magnetic field. Without the scattering paths along magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Kristof Moors , Gen Yin

Topological classifications of quantum critical systems have recently attracted growing interest, as they go beyond the traditional paradigms of condensed matter and statistical physics. However, such classifications remain largely…

Statistical Mechanics · Physics 2026-02-03 Sheng Yang , Hai-Qing Lin , Xue-Jia Yu

An integer Quantum Hall effect transition is studied in a modulation doped p-SiGe sample. In contrast to most examples of such transitions the longitudinal and Hall conductivities at the critical point are close to 0.5 and 1.5 (e^2/h), the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. T. Coleridge

We discuss the QCD phase diagram from two different point of view. We first investigate the phase diagram structure in the strong coupling lattice QCD with Polyakov loop effects, and show that the the chiral and Z_{N_c} deconfinement…

Nuclear Theory · Physics 2012-01-31 A. Ohnishi , K. Miura , T. Z. Nakano , N. Kawamoto , H. Ueda , M. Ruggieri , K. Sumiyoshi

We study a class of quantum phase transitions between featureless bosonic atomic insulators in $(2+1)$ dimensions, where each phase exhibits neither topological order nor protected edge modes. Despite their lack of topology, these…

Strongly Correlated Electrons · Physics 2026-04-24 Yunchao Zhang , T. Senthil

Chiral and deconfinement phase transitions at finite temperature $T$ and quark number chemical potential $\mu$ are simultaneously studied in the quenched dynamical holographic QCD model within the Einstein-Dilaton-Maxwell framework. By…

High Energy Physics - Phenomenology · Physics 2020-04-22 Xun Chen , Danning Li , Defu Hou , Mei Huang

The mixing of states with {\it opposite chirality} in quantum Hall system is shown to have delocalization effect. It is possible that extended states may form bands because of this mixing, as is shown through a numerical calculation on a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gang Xiong , Shi-Dong Wang , Qian Niu , Yupeng Wang , X. C. Xie , De-Cheng Tian , X. R. Wang

Motivated by recent observations of fractional Chern insulators (FCIs) in the vicinity of superconducting (SC) phases, we study fractional quantum (anomalous) Hall-superconductor heterostructures in the presence of $U(1)$ order-parameter…

Strongly Correlated Electrons · Physics 2025-10-31 Steffen Bollmann , Andreas Haller , Jukka I. Väyrynen , Thomas L. Schmidt , Elio J. König

Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 David M. Long , Philip J. D. Crowley , Anushya Chandran

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

Extended and critical states are two common phenomena in Fibonacci quasicrystals. In this paper, we first reveal the difference between the extended phase and the critical phase in the extended-critical Fibonacci quasicrystal from the…

Disordered Systems and Neural Networks · Physics 2024-10-24 He-Guang Xu , Shujie Cheng

We numerically investigate the influence of classical percolation on the quantum Hall localization-delocalization transition. This is accomplished within the framework of the generalized Chalker--Coddington network model which allows us to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Marcus Metzler

Equilibrium quantum phase transitions profoundly reshape the ground state of light-matter systems; yet, the resulting quantum correlations, such as squeezing and entanglement, remain experimentally inaccessible since they involve virtual…

Quantum Physics · Physics 2026-05-14 Gabriele Orlando , Daniele Lamberto , Franco Nori , Salvatore Savasta

The interplay of correlated spatial modulation and symmetry breaking leads to quantum critical phenomena intermediate between those of the clean and randomly disordered cases. By performing a detailed analytic and numerical case study of…

Disordered Systems and Neural Networks · Physics 2022-08-12 P. J. D. Crowley , C. R. Laumann , A. Chandran

The fate of integer quantum Hall effect (IQHE) at weak magnetic field is studied numerically in the presence of {\it correlated} disorders. We find a systematic {\it float-up} and {\it merging} picture for extended levels on the low-energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. N. Sheng , Z. Y. Weng , X. G. Wen

Quantum point contacts (QPC) are a key instrument in investigating the physics of edge excitations in the quantum Hall effect. However, at not-so-high bias voltage values, the predictions of the conventional point QPC model often deviate…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 Prasoon Kumar , Kyrylo Snizhko

We study hierarchical network models which have recently been introduced to approximate the Chalker-Coddington model for the integer quantum Hall effect (A.G. Galstyan and M.E. Raikh, PRB 56 1422 (1997); Arovas et al., PRB 56, 4751 (1997)).…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Andreas Weymer , Martin Janssen
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