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Time-periodic (Floquet) topological phases of matter exhibit bulk-edge relationships that are more complex than static topological insulators and superconductors. Finding the edge modes unique to driven systems usually requires numerics.…

量子气体 · 物理学 2016-12-28 Indubala I. Satija , Erhai Zhao

We present a complete topological characterization of a bilayer composite of two Chern insulators (specifically, Haldane models) and explicitly establish the bulk-boundary correspondences. We show that an appropriately defined Chern number…

统计力学 · 物理学 2021-06-15 Sourav Bhattacharjee , Souvik Bandyopadhyay , Diptiman Sen , Amit Dutta

Integer-valued topological indices, characterizing nonlocal properties of quantum states of matter, are known to directly predict robust physical properties of equilibrium systems. The Chern number, e.g., determines the quantized Hall…

This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the…

数学物理 · 物理学 2021-01-19 Guillaume Bal , Daniel Massatt

We study how the nonlinear propagation dynamics of bulk states may be used to distinguish topological phases of slowly-driven Floquet lattices. First, we show how instabilities of nonlinear Bloch waves may be used to populate Floquet bands…

Photoinduced phase transitions and charge dynamics in the interacting Dirac-electron system with a charge-ordered ground state are theoretically studied by taking an organic salt $\alpha$-(BEDT-TTF)$_2$I$_3$. By analysing the extended…

强关联电子 · 物理学 2022-07-21 Yasuhiro Tanaka , Masahito Mochizuki

Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In dimension two such systems are characterized by integer-valued…

数学物理 · 物理学 2018-03-05 Gian Michele Graf , Clément Tauber

In this work, we discuss properties with no static counterpart arising in Floquet topological insulators with a dynamical chiral symmetry (DCS), i.e., a chiral symmetry which is present while driving. We explore the topological properties…

介观与纳米尺度物理 · 物理学 2024-05-15 Mohamed Assili , Panagiotis Kotetes

Recent works have demonstrated that the Floquet-Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional structure in the driven case arises from the periodicity of…

介观与纳米尺度物理 · 物理学 2019-01-24 Frederik Nathan , Mark S. Rudner

The quantum Hall effect, fundamental in modern condensed matter physics, continuously inspires new theories and predicts emergent phases of matter. Here we experimentally demonstrate three types of Chern insulators with synthetic dimensions…

In topological materials, dissipationless edge currents are protected against local defect scattering by the bulk inverted band structure and band gap. We propose that large uniaxial strain can effectively switch a 2D Chern insulator to a…

Recently, Floquet systems have attracted a great deal of interest as they offer unprecedented ability to engineer topological states through the tuning of an external time-periodic drive. Consequentially, seeking new driving protocols that…

介观与纳米尺度物理 · 物理学 2023-04-05 Sam Olin , Wei-Cheng Lee

Of the available classes of insulators which have been shown to contain topologically non-trivial properties one of the most important is class AII, which contains systems that possess time-reversal symmetry $T$ with $T^2=-1.$ This class…

介观与纳米尺度物理 · 物理学 2015-06-05 Matthew J. Gilbert , B. Andrei Bernevig , Taylor L. Hughes

A central property of Chern insulators is the robustness of the topological phase and edge states to impurities in the system. Despite this, Chern number cannot be straightforwardly calculated in the presence of disorder. Recently, work has…

强关联电子 · 物理学 2022-10-20 Peru d'Ornellas , Ryan Barnett , Derek K. K. Lee

Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of…

强关联电子 · 物理学 2022-10-05 Fenner Harper , Rahul Roy , Mark S. Rudner , S. L. Sondhi

It was recently found that, going beyond the tendfold Altland-Zirnbauer symmetry classes and violating the bulk-boundary correspondence of the usual topological phases, PT-invariant systems support a real Chern insulator with the so-called…

介观与纳米尺度物理 · 物理学 2025-07-10 Hong Wu , Jun-Hong An

We study a two-dimensional topological system driven out of equilibrium by the application of elliptically polarized light. In particular, we analyze the Bernevig-Hughes-Zhang model when it is perturbed using an elliptically polarized light…

介观与纳米尺度物理 · 物理学 2022-12-13 Ranjani Seshadri , Diptiman Sen

We propose a generalized composite fermion (CF) theory for fractional Chern insulators (FCIs) by adapting the quantum mechanics approach of CFs. The theoretical framework naturally produces an effective CF Hamiltonian and a wavefunction…

强关联电子 · 物理学 2025-09-12 Hao Jin , Junren Shi

The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

介观与纳米尺度物理 · 物理学 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

无序系统与神经网络 · 物理学 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi