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The high-Chern number phases with a Chern number C>1 have been observed in a recent experiment that performed on the topological insulator (TI) multilayer structures, consisting of the alternating magnetic-doped and undoped TI layers. In…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 Yi-Xiang Wang , Fuxiang Li

Higher-dimensional topological phases play a key role in understanding the lower-dimensional topological phases and the related topological responses through a dimensional reduction procedure. In this work, we present a Dirac-type model of…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

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

Chern insulators are two-dimensional magnetic topological materials that conduct electricity along their edges via the one-dimensional chiral modes. The number of these modes is a topological invariant called the first Chern number $C$,…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Mihovil Bosnar , Alexandra Yu. Vyazovskaya , Evgeniy K. Petrov , Evgueni V. Chulkov , Mikhail M. Otrokov

Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

Mesoscale and Nanoscale Physics · Physics 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

We propose characterization of the three-dimensional topological insulator by using the Chern number for the entanglement Hamiltonian (entanglement Chern number). Here we take the extensive spin partition of the system, that pulls out the…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Hiromu Araki , Takahiro Fukui , Yasuhiro Hatsugai

Starting from a minimal model for a 2D nodal loop semimetal, we study the effect of chiral mass gap terms. The resulting Dirac loop anomalous Hall insulator's Chern number is the phase winding number of the mass gap terms on the loop. We…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Linhu Li , Miguel A. N. Araújo

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

Dirac semimetal is a class of semi-metallic phase protected by certain types of crystalline symmetries, and its low-energy effective Hamiltonian is described by Dirac equations in three dimensions (3D). Despite of various theoretical…

Mesoscale and Nanoscale Physics · Physics 2016-05-17 Rui-Xing Zhang , Chao-Xing Liu

Topological insulator(TI) is a phase of matter discovered recently. Kane and Mele proposed this phase is distinguished from the ordinary band insulator by a Z2 topological invariant.2 Several authors have try to related this Z2 invariant to…

Materials Science · Physics 2011-03-01 Yidong Wu

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…

Quantum Gases · Physics 2015-04-29 Beibing Huang , Jeffrey Chun Fai Chan , Ming Gong

Topological phases with large Chern numbers have important implications. They were previously predicted to exist by considering fabricated long-range interactions or multi-layered materials. Stimulated by recent wide interests in Floquet…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 Tian-Shi Xiong , Jiangbin Gong , Jun-Hong An

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

Fractional Chern insulators arise in topologically nontrivial flat bands, characterized by an integer Chern number C that corresponds to the number of dissipationless edge states in the non-interacting regime. Higher Chern numbers can…

Strongly Correlated Electrons · Physics 2026-01-29 Ying-Xing Ding , Wen-Tong Li , Li-Min Zhang , Yu-Biao Wu , Duanlu Zhou , Lin Zhuang , Wu-Ming Liu

A family of semiconductors called as Chern band insulator are shown to host exciton bands with non-zero topological Chern integers and chiral exciton edge modes. Using a prototypical two-band Chern insulator model, we calculate a…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Ke Chen , Ryuichi Shindou

We propose a Chern insulator in a two-dimensional electron system with Dresselhaus spin-orbit coupling, ferromagnetism, and spin-dependent effective mass. The analytically-obtained topological phase diagrams show the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-10-10 Rui-An Chang , Ching-Ray Chang

Strong directional disorder in local magnetic moments coupled to a Chern insulator gives rise to topological phases that cannot be continuously connected to the clean limit and are therefore genuinely disorder-driven. We demonstrate this in…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Devesh Vaish , Michael Potthoff

If an extensive partition in two dimensions yields a gapful entanglement spectrum of the reduced density matrix, the Berry curvature based on the corresponding entanglement eigenfunction defines the Chern number. We propose such an…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 T. Fukui , Y. Hatsugai

We present a model for a Chern insulator on the square lattice with complex first and second neighbor hoppings and a sublattice potential which displays an unexpectedly rich physics. Similarly to the celebrated Haldane model, the proposed…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

Chern numbers can be calculated within a frame of vortex fields related to phase conventions of a wave function. In a band protected by gaps the Chern number is equivalent to the total number of flux carrying vortices. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-10-14 Axel Fünfhaus , Thilo Kopp , Elias Lettl
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