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The Hofstadter model is a popular choice for theorists investigating the fractional quantum Hall effect on lattices, due to its simplicity, infinite selection of topological flat bands, and increasing applicability to real materials. In…

强关联电子 · 物理学 2021-09-09 Bartholomew Andrews , Titus Neupert , Gunnar Möller

Topological phases of matter are the center of much current interest, with promising potential applications in, e.g., topologically-protected transport and quantum computing. Traditionally such states are prepared by tuning the system…

量子气体 · 物理学 2020-03-17 Gal Shavit , Moshe Goldstein

Quantum duality is a far reaching concept in contemporary theoretical physics. In the present paper, we reveal the quantum dualities in quantum anomalous Hall (QAH) phases through concrete two bands Hamiltonian models. Our models can…

介观与纳米尺度物理 · 物理学 2016-03-30 Tong Chern

Different from the two-dimensional (2D) topological insulator, the 2D topological crystalline insulator (TCI) phase disappears when the mirror symmetry is broken, e.g., upon placing on a substrate. Here, based on a new family of 2D TCIs -…

介观与纳米尺度物理 · 物理学 2015-06-11 C. Niu , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blugel , Y. Mokrousov

The quantum oscillation is an important probe for the detection of a topological insulator(TI) surface states by means of electrical transport since the Shubnikov-de Haas oscillations allow to extract the Berry Phase which is the key test…

介观与纳米尺度物理 · 物理学 2020-01-28 Debarghya Mallick , Shoubhik Mandal , R. Ganesan , P. S. Anil Kumar

This review deals with strongly disordered topological insulators and covers some recent applications of a well established analytic theory based on the methods of Non-Commutative Geometry (NCG) and developed for the Integer Quantum…

无序系统与神经网络 · 物理学 2015-03-17 Emil Prodan

Excitons are the neutral quasiparticles that form when Coulomb interactions create bound states between electrons and holes. Due to their bosonic nature, excitons are expected to condense and exhibit superfluidity at sufficiently low…

介观与纳米尺度物理 · 物理学 2024-09-04 Hong-Yi Xie , Pouyan Ghaemi , Matteo Mitrano , Bruno Uchoa

We study by a consistent mean-field scheme the role on the single- and two-particle properties of a local electron-electron repulsion in the Bernevig, Hughes and Zhang model of a quantum spin Hall insulator. We find that the interaction…

强关联电子 · 物理学 2020-07-29 A. Blason , M. Fabrizio

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…

光学 · 物理学 2017-02-01 Lukas J. Maczewsky , Julia M. Zeuner , Stefan Nolte , Alexander Szameit

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

介观与纳米尺度物理 · 物理学 2009-09-24 Shun-Qing Shen

We investigate the topological phase transition with large Chern number in a coupled layer system. The topological transitions between different topological superfluids can be realized by controlling the binding energy, interlay tunneling…

量子气体 · 物理学 2015-04-29 Beibing Huang , Jeffrey Chun Fai Chan , Ming Gong

We present a paradoxical finding that, in the vicinity of a topological phase transition in a quantum anomalous Hall system (Chern insulator), topology nearly always (except when the system obeys charge-conjugation symmetry) results in a…

介观与纳米尺度物理 · 物理学 2018-11-07 Denis R. Candido , Maxim Kharitonov , J. Carlos Egues , Ewelina M. Hankiewicz

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

介观与纳米尺度物理 · 物理学 2014-10-07 Ching-Kai Chiu

From the low-energy model, the topological field theory indicates that the surface magnetization can open a surface gap in 3D topological insulators (TIs), resulting in a half-quantized Hall conductance. Here by employing the realistic…

介观与纳米尺度物理 · 物理学 2024-10-30 Yu-Hao Wan , 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…

介观与纳米尺度物理 · 物理学 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

We consider the two-dimensional topological Chern insulator in the presence of static disorder. Generic quantum states in this system are Anderson localized. However, topology requires the presence of a subset of critical states, with…

介观与纳米尺度物理 · 物理学 2023-08-29 Mateo Moreno-Gonzalez , Johannes Dieplinger , Alexander Altland

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…

Magnetic topological insulators have received significant interest due to their dissipationless edge states, which promise advances in energy-efficient electronic transport. However, the magnetic topological insulator state has typically…

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…

介观与纳米尺度物理 · 物理学 2023-03-14 Fadi Sun , Jinwu Ye

Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

介观与纳米尺度物理 · 物理学 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang