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We study systems with energy bands in two dimensions, hosting higher order Van Hove singularities (HOVHS) in the presence of disorder, using standard diagrammatic techniques for impurity averaging. In the clean limit, such singularities…

Strongly Correlated Electrons · Physics 2022-03-21 Anirudh Chandrasekaran , Joseph J. Betouras

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

We study photonic band gap formation in two-dimensional high refractive index disordered materials where the dielectric structure is derived from packing disks in real and reciprocal space. Numerical calculations of the photonic density of…

We investigate the phases and phase transitions of the disordered Haldane model in the presence of on-site disorder. We use the real-space Chern marker and transfer matrices to extract critical exponents over a broad range of parameters.…

Strongly Correlated Electrons · Physics 2023-12-29 J. Mildner , M. D. Caio , G. Möller , N. R. Cooper , M. J. Bhaseen

We examine the impact of non-magnetic disorder on the electronic states of a multilayer structure comprising layers of both topological and conventional band insulators. Employing the Burkov-Balents model with renormalized tunneling…

Mesoscale and Nanoscale Physics · Physics 2024-04-25 Z. Z. Alisultanov , A. Kudlis

For two-dimensional Lieb lattice, while intrinsic spin-orbit coupling is responsible for opening the gap that exhibits the quantum spin Hall effect, topological phase transitions are driven by a real next-nearest-neighbor (NNN) hopping. In…

Disordered Systems and Neural Networks · Physics 2026-01-19 Yue Heng Liu , Zi-Xiang Hu , Qi Li

We study the effect of disorder in systems having a non-trivial Euler class. As these recently proposed multi-gap topological phases come about by braiding non-Abelian charged band nodes residing between different bands to induce stable…

Mesoscale and Nanoscale Physics · Physics 2024-08-08 Wojciech J. Jankowski , Mohammadreza Noormandipour , Adrien Bouhon , Robert-Jan Slager

It has only recently been possible to study the superconducting state in the attractive Hubbard Hamiltonian via a direct observation of the formation of a gap in the density of states N(w). Here we determine the effect of random chemical…

Strongly Correlated Electrons · Physics 2009-10-31 Carey Huscroft , Richard T. Scalettar

Using the self-consistent Born approximation, we study a topological phase transition appearing in bulk HgCdTe crystals induced \emph{uncorrelated} disorder due to both randomly distributed impurities and fluctuations in Cd composition. By…

Materials Science · Physics 2025-03-07 Sergey S. Krishtopenko , Mauro Antezza , Frédéric Teppe

The nonlinear Hall effect has opened the door towards deeper understanding of topological states of matter. It can be observed as the double-frequency Hall voltage response to an ac longitudinal current in the presence of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2019-07-15 Z. Z. Du , C. M. Wang , Shuai Li , Hai-Zhou Lu , X. C. Xie

Using the resonant-state expansion for leaky optical modes of a planar Bragg microcavity, we investigate the influence of disorder on its fundamental cavity mode. We model the disorder by randomly varying the thickness of the Bragg-pair…

Disordered Systems and Neural Networks · Physics 2021-01-22 S. G. Tikhodeev , E. A. Muljarov , W. Langbein , N. A. Gippius , H. Giessen , T. Weiss

Repeated quantum measurements can generate effective new non-equilibrium dynamics in matter. Here we combine such a measurement driven system with disorder. In particular, we investigate the diffusive behavior in the system and the effect…

Disordered Systems and Neural Networks · Physics 2023-12-12 Brian J J Khor , Matthew Wampler , Gil Refael , Israel Klich

Using an exact mapping to disordered Coulomb gases, we introduce a novel method to study two dimensional Dirac fermions with quenched disorder in two dimensions which allows to treat non perturbative freezing phenomena. For purely random…

Condensed Matter · Physics 2009-11-07 Baruch Horovitz , Pierre Le Doussal

Self-intersecting energy band structures in momentum space can be induced by nonlinearity at the mean-field level, with the so-called nonlinear Dirac cones as one intriguing consequence. Using the Qi-Wu-Zhang model plus power law…

Quantum Physics · Physics 2022-12-29 Xi Liu , Qing-hai Wang , Jiangbin Gong

We describe the charge transport in ferromagnets with spin orbit coupled Bloch bands by combining the wave-packet evolution equations with the classical Boltzmann equation. This approach can be justified in the limit of smooth disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , Qian Niu , Jairo Sinova , K. Nomura

We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a…

Materials Science · Physics 2025-08-07 S. S. Krishtopenko , A. V. Ikonnikov , F. Hartmann , S. Höfling , B. Jouault , F. Teppe

The objective of this article is to investigate the profound nonlinear optical response exhibited by inversion symmetric fullerene molecules under the influence of different types of disorders described by the Anderson model. Our aim is to…

Optics · Physics 2023-09-06 H. K. Avetissian , S. Sukiasyan , H. H. Matevosyan , G. F. Mkrtchian

We study a 1D system with a power-law quasiparticle dispersion $\propto |k|^\alpha\sign k$ in the presence of a short-range-correlated random potential and demonstrate that for $\alpha<1/2$ it exhibits a disorder-driven quantum phase…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 M. Garttner , S. V. Syzranov , A. M. Rey , V. Gurarie , L. Radzihovsky

The Hamiltonian Theory of the fractional quantum Hall (FQH) regime provides a simple and tractable approach to calculating gaps, polarizations, and many other physical quantities. In this paper we include disorder in our treatment, and show…

Strongly Correlated Electrons · Physics 2015-05-13 Ganpathy Murthy

The influence of disorder, both structural (non-diagonal) and on-site (diagonal), is studied through the inhomogeneous Bogoliubov-de Gennes (BdG) theory in narrow-band disordered superconductors with a view towards understanding…

Superconductivity · Physics 2024-10-04 R. McIntosh , N. Mohanta , A. Taraphder , S. Bhattacharyya