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We studied effects of disorder in a three dimensional layered Chern insulator. By calculating the localization length and density of states numerically, we found two distict types of metallic phases between Anderson insulator and Chern…

Disordered Systems and Neural Networks · Physics 2016-02-12 Shang Liu , Tomi Ohtsuki , Ryuichi Shindou

The field of topological photonics was initiated with the realization of a Chern insulator phase in a gyromagnetic photonic crystal (PhC) with broken time-reversal symmetry (T), hosting chiral edge states that are topologically protected…

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

Local markers provide an efficient and powerful characterization of topological features of many systems, especially when the translation symmetry is broken. Recently, a universal topological local marker applicable in different symmetry…

Other Condensed Matter · Physics 2026-01-01 Yulin Qin , Chang-An Li , Jian Li

The eigenstate thermalization hypothesis describes how most isolated many-body quantum systems reach thermal equilibrium. However, the hypothesis is violated by phenomena such as many-body localization and quantum many-body scars. In this…

Disordered Systems and Neural Networks · Physics 2024-02-09 Michael Iversen , Jens H. Bardarson , Anne E. B. Nielsen

Topological states are useful because they are robust against disorder and imperfection. In this study, we consider the effect of disorder and the breaking of parity symmetry on a topological network system in which the edge states are…

Disordered Systems and Neural Networks · Physics 2021-11-30 Tianshu Jiang , C. T. Chan

Two-dimensional periodically driven systems can host an unconventional topological phase unattainable for equilibrium systems, termed the Anomalous Floquet-Anderson insulator (AFAI). The AFAI features a quasi-energy spectrum with chiral…

Strongly Correlated Electrons · Physics 2022-04-20 Carolyn Zhang , Tobias Holder , Netanel H. Lindner , Mark Rudner , Erez Berg

An extensive numerical study is reported on disorder effect in two-dimensional d-wave superconductors with random impurities in the unitary limit. It is found that a sharp resonant peak shows up in the density of states at zero energy and…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , D. N. Sheng , C. S. Ting

Algebraic and geometric mean density of states in disordered systems may reveal properties of electronic localization. In order to understand the topological phases with disorder in two dimensions, we present the calculated density of…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Yan-Yang Zhang , Shun-Qing Shen

Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the \nu=1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific…

Strongly Correlated Electrons · Physics 2013-05-08 Norman Y. Yao , Alexey V. Gorshkov , Chris R. Laumann , Andreas M. Läuchli , Jun Ye , Mikhail D. Lukin

We investigate the possibility of Many-Body Localization in translation invariant Hamiltonian systems, which was recently brought up by several authors. A key feature of Many-Body Localized disordered systems is recovered, namely the fact…

Statistical Mechanics · Physics 2015-06-19 Wojciech De Roeck , Francois Huveneers

We present the experimental generation of tunable entanglement between distinct field modes by the delocalized addition of a single photon. We show that one can preserve a high degree of entanglement even between macroscopically populated…

Quantum Physics · Physics 2025-02-28 Nicola Biagi , Luca S. Costanzo , Marco Bellini , Alessandro Zavatta

We extend the Berry-phase concept of polarization to insulators having a non-zero value of the Chern invariant. The generalization to such Chern insulators requires special care because of the partial occupation of chiral edge states. We…

Mesoscale and Nanoscale Physics · Physics 2009-03-23 Sinisa Coh , David Vanderbilt

The bulk-boundary correspondence, which links a bulk topological property of a material to the existence of robust boundary states, is a hallmark of topological insulators. However, in crystalline topological materials the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Sasha S. Yamada , Tianhe Li , Mao Lin , Christopher W. Peterson , Taylor L. Hughes , Gaurav Bahl

We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defect by periodic poling of a single waveguide in the array. We…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

We show that a localized bosonic mode acts as a new type of "defect" in s- and d_{x^2-y^2}-wave superconductors. The mode induces bound or resonance states, whose spectral signature are peaks in the superconductor's density of states (DOS).…

Strongly Correlated Electrons · Physics 2009-11-10 Dirk K. Morr , Roy H. Nyberg

A scenario of non-Hermitian bulk--boundary correspondence proposed for one-dimensional topological insulators is adapted to a non-Hermitian Chern insulator to examine its applicability to two-dimensional systems. This scenario employs bulk…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Yositake Takane

Employing the Bloch eigenmode matching approach, we numerically study the evolution of individual quantum Hall edge states with respect to disorder. As shown by the two-parameter renormalization group flow of the Hall and Thouless…

Mesoscale and Nanoscale Physics · Physics 2018-05-15 Kai Tong Wang , Fuming Xu , Yanxia Xing , Hong Kang Zhao

Due to the presence of phonons, many body localization (MBL) does not occur in disordered solids, even if disorder is strong. Local conservation laws characterizing an underlying MBL phase decay due to the coupling to phonons. Here we show…

Strongly Correlated Electrons · Physics 2019-01-02 Zala Lenarčič , Ehud Altman , Achim Rosch

We derive the macroscopic charge and current densities of a Chern insulator initially occupying its electronic ground state as it responds to a finite-frequency electric field; we use a previously developed formalism based on microscopic…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Jason G. Kattan , Alistair H. Duff , J. E. Sipe
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