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Related papers: Non-Hermitian topological devices with Chern insul…

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Topological insulators are a novel state of matter that share a common feature: their spectral bands are associated with a nonlocal integer-valued index, commonly manifesting through quantized bulk phenomena and robust boundary effects. In…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Ioannis Petrides , Oded Zilberberg

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

Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving the lattice translational symmetry. We conclusively show that a partially filled Chern insulator at 1/3 filling exhibits a fractional quantum Hall…

Strongly Correlated Electrons · Physics 2015-03-19 N. Regnault , B. Andrei Bernevig

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

We investigate a new class of topological antiferromagnetic (AF) Chern insulators driven by electronic interactions in two-dimensional systems without inversion symmetry. Despite the absence of a net magnetization, AF Chern insulators…

Strongly Correlated Electrons · Physics 2018-04-17 Kun Jiang , Sen Zhou , Xi Dai , Ziqiang Wang

Magnetism typically arises from the joint effect of Fermi statistics and repulsive Coulomb interactions, which favors ground states with non-zero electron spin. As a result, controlling spin magnetism with electric fields---a longstanding…

Quantum anomalous Hall (QAH) insulators host topologically protected dissipationless chiral edge states, the number of which is determined by its Chern number. Up to now, the QAH state has been realized in a few magnetic topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-11 Dinghui Wang , Huaiqiang Wang , Haijun Zhang

The congregation of topological quantum and classical systems with the ideas of non-Hermitian physics has generated enormous research interest in the last few years. While the concepts associated to non-trivial topological aspects have…

Applied Physics · Physics 2021-08-27 Nitish Kumar Gupta , Arun M. Jayannavar

Quantum metrology is deeply connected to quantum geometry, through the fundamental notion of quantum Fisher information. Inspired by advances in topological matter, it was recently suggested that the Berry curvature and Chern numbers of…

Quantum Physics · Physics 2024-11-12 Min Yu , Xiangbei Li , Yaoming Chu , Bruno Mera , F. Nur Ünal , Pengcheng Yang , Yu Liu , Nathan Goldman , Jianming Cai

The strong topological insulator in 3D is expected to realize a quantized magneto-electric response, the so-called axion response. However, many of the materials predicted to be topological insulators have turned out to be metallic, with…

Strongly Correlated Electrons · Physics 2011-10-20 Doron L. Bergman

The relation between chiral edge modes and bulk Chern numbers of quantum Hall insulators is a paradigmatic example of bulk-boundary correspondence. We show that the chiral edge modes are not strictly tied to the Chern numbers defined by a…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Shunyu Yao , Fei Song , Zhong Wang

Protected by the chiral symmetry, three dimensional chiral topological insulators are characterized by an integer-valued topological invariant. How this invariant could emerge in physical observables is an important question. Here we show…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Sheng-Tao Wang , Dong-Ling Deng , Joel E. Moore , Kai Sun , Lu-Ming Duan

Thermoelectric devices at the nanoscale offer promising routes for on-chip refrigeration and waste-heat recovery, yet most semiconductor-based implementations suffer from limited tunability and narrow operational ranges. We introduce a…

Mesoscale and Nanoscale Physics · Physics 2025-08-29 Phillip Mercebach , Sun-Yong Hwang , Bo Lu , Björn Sothmann , Yukio Tanaka , Pablo Burset

Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While…

For decades, the topological phenomena in quantum systems have always been catching our attention. Recently, there are many interests on the systems where topologically protected edge states exist, even in the presence of non-Hermiticity.…

Quantum Gases · Physics 2020-09-15 Shujie Cheng , Gao Xianlong

The Chern number is a crucial topological invariant for distinguishing the phases of Chern insulators. Here we find that for Chern insulators with inversion symmetry, the Chern number alone is insufficient to fully characterize their…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

We study the behaviour of electrons interacting with a classical magnetic background via a strong Hund coupling. The magnetic background results from a Hamiltonian which favours at low temperature the emergence of a phase with non-zero…

Strongly Correlated Electrons · Physics 2019-02-06 H. D. Rosales , F. A. Gómez Albarracín , P. Pujol

Topological insulators (TIs) are a new quantum state of matter discovered recently, which are characterized by unconventional bulk topological invariants. Proposals for practical applications of the TIs are mostly based upon their metallic…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 M. N. Chen , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

Commonly, a two-dimensional topological insulator is characterized by non-zero Chern numbers associated with its band structure. In our work, we present the experimental demonstration of an anomalous topological insulator, for which the…