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Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

Strongly Correlated Electrons · Physics 2013-01-04 Ari M. Turner , Ashvin Vishwanath

Topological materials exhibit edge-localized scattering-free modes protected by their nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems. While topological phenomena have recently been much investigated in…

Mesoscale and Nanoscale Physics · Physics 2020-11-16 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

Mesoscale and Nanoscale Physics · Physics 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

An extension of fluctuation-dissipation theorem is used to derive a "speed limit" theorem for nonlinear electronic devices. This speed limit provides a lower bound on the dissipation that is incurred when transferring a given amount of…

Statistical Mechanics · Physics 2025-06-23 Léopold Van Brandt , Jean-Charles Delvenne

Impurities embedded in electronic systems induce bound states which under certain circumstances can hybridize and lead to impurity bands. Doping of insulators with impurities has been identified as a promising route towards engineering…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Emma L. Minarelli , Kim Pöyhönen , Gerwin A. R. van Dalum , Teemu Ojanen , Lars Fritz

Time Reversal Symmetry (TRS) broken topological phases provide gapless surface states protected by topology, regardless of additional internal symmetries, spin or valley degrees of freedom. Despite the numerous demonstrations of 2D…

We introduce a driven-dissipative Bose-Hubbard chain describing coupled lossy photonic modes, in which time-reversal symmetry is broken by a coherent drive with a uniform phase gradient. We investigate this model by means of a Gaussian…

Quantum Physics · Physics 2024-11-15 Laszlo Rassaert , Tomás Ramos , Tommaso Roscilde , Diego Porras

Nonlinear interaction enables topological phenomena impossible in linear systems. A paradigm is nonlinear Thouless pump, where the transport of solitons can be topologically quantized even when band occupation is nonuniform. Such nonlinear…

Quantum Gases · Physics 2026-04-01 Xuzhen Cao , Xiaolin Li , Liang Bai , Zhaoxin Liang , Li-Chen Zhao , Ying Hu

Non-Hermitian systems as theoretical models of open or dissipative systems exhibit rich novel physical properties and fundamental issues in condensed matter physics.We propose a generalized local-global correspondence between the…

Quantum Physics · Physics 2023-08-11 Annan Fan , Shi-Dong Liang

We construct two-dimensional non-Abelian topologically ordered states by strongly coupling arrays of one-dimensional quantum wires via interactions. In our scheme, all charge degrees of freedom are gapped, so the construction can use either…

Strongly Correlated Electrons · Physics 2016-05-18 Po-Hao Huang , Jyong-Hao Chen , Pedro R. S. Gomes , Titus Neupert , Claudio Chamon , Christopher Mudry

We propose a two-dimensional non-Hermitian Chern insulator with inversion symmetry, which is anisotropic and has staggered gain and loss in both x and y directions. In this system, conventional bulk-boundary correspondence holds. The Chern…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 H. C. Wu , L. Jin , Z. Song

Magnetic topological insulators (MTIs) are among the prominent platforms for the next generation of high-speed and low-power spintronic devices. However, unlike their non-magnetic counterparts, where the surface spin-momentum locking…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Amir Sabzalipour , Mohammad Shafiei , Milorad V. Milošević

We propose a geometric criterion of the topological phase transition for non-Hermitian systems. We define the length of the boundary of the bulk band in the complex energy plane for non-Hermitian systems. For one-dimensional systems, we…

Quantum Physics · Physics 2023-08-14 Annan Fan , Shi-Dong Liang

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

In commonly employed models for 2D topological insulators, bulk gapless states are well known to form at the band inversion points where the degeneracy of the states is protected by symmetries. It is thus sometimes quite tempting to…

Materials Science · Physics 2017-12-06 Wenjie Xi , Wei Ku

Topological phases characterized by non-Abelian charges have garnered increasing attention recently. Although Floquet (periodic-driving) higher-order topological phases have been explored at the single-particle level, the role of…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 Yujie Zhou , Changsen Li , Xiumei Wang , Xingping Zhou

We explore the physics of a Chern insulator subjected to a two step Floquet drive. We analytically obtain the phase diagram and show that the system can exhibit different topological phases characterized by presence and chirality of…

Disordered Systems and Neural Networks · Physics 2016-12-07 Sthitadhi Roy , G. J. Sreejith

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

Motivated by the outstanding challenge of realizing low-temperature states of quantum matter in synthetic materials, we propose and study an experimentally feasible protocol for preparing topological states such as Chern insulators. By…

Quantum Gases · Physics 2020-01-20 S. Barbarino , J. Yu , P. Zoller , J. C. Budich