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Related papers: Disordered Topological Insulators: A Non-Commutati…

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Quantum anomalous Hall insulators are topologically characterized by non-zero integer Chern numbers, the sign of which depends on the direction of the exchange field that breaks time-reversal symmetry. This feature allows the manipulation…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Nezhat Pournaghavi , Carlo M. Canali

We propose a physical model based on disordered (a hole punched inside a material) monolayer transition metal dichalcogenides (TMDs) to demonstrate a large-gap quantum valley Hall insulator. We find an emergence of bound states lying inside…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Fanyao Qu , L. Villegas-Lelovsky , G. S. Diniz

Laser irradiation, as a versatile tool to tune topological properties of electronic systems, is under intensive studies. Experimentally, laser irradiation induced anomalous Hall effect in graphene has been observed (McIver et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Tao Qin , Pengfei Zhang , Guoao Yang

Motivated by the study of stacking faults in weak topological insulators and the observation of magnetic domain walls in MnBi$_{2n}$Te$_{3n+1}$, we explore the topological properties of magnetic domain walls in antiferromagnetic topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Gabriele Naselli , Ion Cosma Fulga

Quantum anomalous Hall (QAH) insulators are characterized by vanishing longitudinal resistance and quantized Hall resistance in the absence of an external magnetic field. Among them, high-Chern-number QAH insulators offer multiple…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Jiaheng Li , Quansheng Wu , Hongming Weng

A central property of (Chern) topological insulators is the presence of robust asymmetric transport along interfaces separating two-dimensional insulating materials in different topological phases. A Topological Anderson Insulator is an…

Analysis of PDEs · Mathematics 2023-11-28 Guillaume Bal , Thuyen Dang

The interplay between band topology and magnetism can give rise to exotic states of matter. For example, magnetically doped topological insulators can realize a Chern insulator that exhibits quantized Hall resistance at zero magnetic field.…

Chern insulators present a topological obstruction to a smooth gauge in their Bloch wave functions that prevents the construction of exponentially-localized Wannier functions - this makes the electric polarization ill-defined. Here, we show…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Sachin Vaidya , Mikael C. Rechtsman , Wladimir A. Benalcazar

We study the effect of strong disorder on topology and entanglement in quench dynamics. Although disorder-induced topological phases have been well studied in equilibrium, the disorder-induced topology in quench dynamics has not been…

Disordered Systems and Neural Networks · Physics 2021-09-14 Hsiu-Chuan Hsu , Pok-Man Chiu , Po-Yao Chang

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

Chern insulators, which are the lattice analogs of the quantum Hall states, can potentially manifest high-temperature topological orders at zero magnetic field to enable next-generation topological quantum devices. To date, integer Chern…

This paper begins with a summary of a powerful formalism for the study of electronic states in condensed matter physics called "Gauge Theory of States/Phases of Matter." The chiral anomaly, which plays quite a prominent role in that…

Strongly Correlated Electrons · Physics 2023-04-12 Jürg Fröhlich

The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulator. In several ways it is a spin-orbit-induced analogue in…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Andrew M. Essin , J. E. Moore

Recent studies of disorder or non-Hermiticity induced topological insulators inject new ingredients for engineering topological matter. Here we consider the effect of purely non-Hermitian disorders, a combination of these two ingredients,…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Xi-Wang Luo , Chuanwei Zhang

Characteristic classes, which are abstract topological invariants associated with vector bundles, have become an important notion in modern physics with surprising real-world consequences. As a representative example, the incredible…

Mesoscale and Nanoscale Physics · Physics 2023-12-11 Cody Tipton , Elizabeth Coda , Davis Brown , Alyson Bittner , Jung Lee , Grayson Jorgenson , Tegan Emerson , Henry Kvinge

Topological phases and topological phase transitions (TPT) are among the most fantastic phenomena in Nature. Here we show that injecting a current may lead to new topological phases, especially new gapless topological metallic phases with…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Fadi Sun , Jinwu Ye

We present a pedagogical review of the physics of fractional Chern insulators with a particular focus on the connection to the fractional quantum Hall effect. While the latter conventionally arises in semiconductor heterostructures at low…

Strongly Correlated Electrons · Physics 2015-10-05 S. A. Parameswaran , R. Roy , S. L. Sondhi

The search of new topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) is a cutting-edge research topic in condensed matter physics and materials science. So far, the QAHE has been observed only in Cr-doped…

Materials Science · Physics 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

Topological matter has become one of the most important subjects in contemporary condensed matter physics. Here, I would like to provide a pedagogical review explaining some of the main ideas, which were pivotal in establishing topological…

Strongly Correlated Electrons · Physics 2018-09-24 Kwon Park

Recent advances in topological artificial systems open the door to realizing topological states in dimensions higher than the usual three-dimensional space. Here, we present a "tensor product" theory, which offers a method to construct…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Kai Wang , Jia-Xiao Dai , L. B. Shao , Shengyuan A. Yang , Y. X. Zhao