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Two-dimensional (2D) semi-Dirac materials are characterized by a quadratic dispersion in one direction and a linear dispersion along the orthogonal direction. We study the topological phase transition in such 2D systems in the presence of…

强关联电子 · 物理学 2016-09-01 Kush Saha

We propose to use generic Chern numbers for a characterization of topological insulators. It is suitable for a numerical characterization of low dimensional quantum liquids where strong quantum fluctuations prevent from developing…

强关联电子 · 物理学 2009-11-10 Yasuhiro Hatsugai

Antiferromagnetic (AFM) topological insulators (TIs), which host magnetically gapped Dirac-cone surface states and exhibit many exotic physical phenomena, have attracted great attention. Here, we find that the coupled surface states can be…

介观与纳米尺度物理 · 物理学 2024-07-17 Yiliang Fan , Huaiqiang Wang , Peizhe Tang , Shuichi Murakami , Xiangang Wan , Haijun Zhang , Dingyu Xing

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…

介观与纳米尺度物理 · 物理学 2022-02-09 Kai Wang , Jia-Xiao Dai , L. B. Shao , Shengyuan A. Yang , Y. X. Zhao

The topology of electronic states in band insulators with mirror symmetry can be classified in two different ways. One is in terms of the mirror Chern number, an integer that counts the number of protected Dirac cones in the Brillouin zone…

介观与纳米尺度物理 · 物理学 2021-05-10 Tomáš Rauch , Thomas Olsen , David Vanderbilt , Ivo Souza

A Chern insulator (quantum anomalous Hall insulator) phase is demonstrated to exist in a typical semi-Dirac system, the TiO2/VO2 heterostructure. By combining first-principles calculations with Wannier-based tight-binding model, we…

材料科学 · 物理学 2015-11-04 Huaqing Huang , Zhirong Liu , Hongbin Zhang , Wenhui Duan , David Vanderbilt

Moir\'e superlattices based on rhombohedral multilayer graphene have emerged as a highly tunable platform for engineering correlated topological phases. Here, we systematically investigate the transport properties of the hole-doped side in…

Topological invariants, such as the Chern number, characterise topological phases of matter. Here we provide a method to detect Chern numbers in systems with two distinct species of fermion, such as spins, orbitals or several atomic states.…

In this paper, we formulate the real-space Chern number in a supercell framework. In this framework, the overlap matrix between two corners of the Brillouin zone (BZ) is derived from diagonalizing the real-space Hamiltonian with periodic…

介观与纳米尺度物理 · 物理学 2026-04-15 Kiminori Hattori , Shinji Nakata

Electronic topological phases of matter, characterized by robust boundary states derived from topologically nontrivial bulk states, are pivotal for next-generation electronic devices. However, understanding their complex quantum phases,…

强关联电子 · 物理学 2025-03-18 Xiang Li , Yixiao Chen , Bohao Li , Haoxiang Chen , Fengcheng Wu , Ji Chen , Weiluo Ren

Quasi-periodic quantum spin chains were recently found to support many topological phases in the finite magnetization sectors. They can simulate strong topological phases from class A in arbitrary dimension that are characterized by first…

介观与纳米尺度物理 · 物理学 2020-10-14 Yifei Liu , Emil Prodan

Systems with strong light-matter interaction opens up new avenues for studying topological phases of matter. Examples include exciton-polaritons, mixed light-matter quasiparticles, where the topology of the polaritonic band structure arises…

光学 · 物理学 2023-02-08 Li He , Jingda Wu , Jicheng Jin , Eugene J. Mele , Bo Zhen

We investigate an ultra-thin film of topological insulator (TI) multilayer as a model for a three-dimensional (3D) Weyl semimetal. We introduce tunneling parameters $t_S$, $t_\perp$, and $t_D$, where the former two parameters couple layers…

强关联电子 · 物理学 2016-05-10 S. A. Owerre

In investigating the topological electronic structures of monolayer $\alpha$-phase group V elements, we uncover a new topological phase, which is invisible in the symmetry-based topological quantum chemistry (TQC) as well as symmetry…

介观与纳米尺度物理 · 物理学 2022-02-10 Baokai Wang , Xiaoting Zhou , Yen-Chuan Lin , Hsin Lin , Arun Bansil

The Chern number is often used to distinguish between different topological phases of matter in two-dimensional electron systems. A fast and efficient coupling-matrix method is designed to calculate the Chern number in finite crystalline…

无序系统与神经网络 · 物理学 2018-09-13 Y. F. Zhang , Y. Y. Yang , Yan Ju , L. Sheng , D. N. Sheng , R. Shen , D. Y. Xing

Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient procedure to determine this topological index.…

介观与纳米尺度物理 · 物理学 2012-05-28 Doru Sticlet , Frederic Piéchon , Jean-Noël Fuchs , Pavel Kalugin , Pascal Simon

Topological invariants such as Chern classes are by now a standard way to classify topological phases. Introducing and varying parameters in such systems leads to phase diagrams, where the Chern classes may jump when crossing a critical…

数学物理 · 物理学 2025-05-21 Ralph M. Kaufmann , Mohamad Mousa , Birgit Wehefritz-Kaufmann

We analyze the influence of disorder and strong correlations on the topology in two dimensional Chern insulators. A mean field calculation in the half-filled Haldane model with extended Hubbard interactions and Anderson disorder shows that…

Topological insulators are exotic material that possess conducting surface states protected by the topology of the system. They can be classified in terms of their properties under discrete symmetries and are characterized by topological…

量子气体 · 物理学 2019-05-29 M. Mochol-Grzelak , A. Dauphin , A. Celi , M. Lewenstein

A peculiar feature of the majority of three dimensional topological insulator surface states studied experimentally thus far, namely their particle-hole asymmetry, makes quantum oscillations (Shubnikov de Haas and de Haas van Alphen…

介观与纳米尺度物理 · 物理学 2013-03-14 Anthony R. Wright