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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 investigate a model of Dirac fermions with Haldane type mass impurities which open a global topological gap even in the dilute limit. Surprisingly, we find that the chirality of this mass term, i.e., the sign of the Chern number, can be…

介观与纳米尺度物理 · 物理学 2025-08-08 Avedis Neehus , Frank Pollmann , Johannes Knolle

Chern insulators exhibit fascinating properties which originate from the topologically nontrivial state characterized by the Chern number. How these properties change if the system is quenched between topologically distinct phases has…

介观与纳米尺度物理 · 物理学 2017-10-25 Michael Schüler , Philipp Werner

Topological insulators are solid state systems of independent electrons for which the Fermi level lies in a mobility gap, but the Fermi projection is nevertheless topologically non-trivial, namely it cannot be deformed into that of a normal…

数学物理 · 物理学 2016-10-27 Hermann Schulz-Baldes

We propose a class of photonic Floquet topological insulators based on staggered helical lattices and an efficient numerical method for calculating their Floquet bandstructure. The lattices support anomalous Floquet topological insulator…

光学 · 物理学 2016-07-06 Daniel Leykam , M. C. Rechtsman , Y. D. Chong

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

介观与纳米尺度物理 · 物理学 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Topological insulators in three dimensions are characterized by a Z2-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the…

介观与纳米尺度物理 · 物理学 2016-11-25 H. -M. Guo

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

Topological insulators are newly discovered materials with the defining property that any boundary cut into such crystal supports spectrum which is immune to the Anderson localization. The present paper summarizes our efforts on the…

数学物理 · 物理学 2016-02-03 Emil Prodan

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

材料科学 · 物理学 2010-07-29 M. Klintenberg

We uncover the relationship of topology and disorder in a one-dimensional Su-Schrieffer-Heeger chain subjected to a slowly varying quasi-periodic modulation. By numerically calculating the disorder-averaged winding number and analytically…

无序系统与神经网络 · 物理学 2022-07-20 Zhanpeng Lu , Zhihao Xu , Yunbo Zhang

Algebraic and geometric mean density of states in disordered systems may reveal properties of electronic localization. In order to understand the topological phases with disorder in two dimensions, we present the calculated density of…

介观与纳米尺度物理 · 物理学 2013-12-02 Yan-Yang Zhang , Shun-Qing Shen

We present an analytic theory of quantum criticality in quasi one-dimensional topological Anderson insulators. We describe these systems in terms of two parameters $(g,\chi)$ representing localization and topological properties,…

介观与纳米尺度物理 · 物理学 2015-06-23 Alexander Altland , Dmitry Bagrets , Alex Kamenev

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…

介观与纳米尺度物理 · 物理学 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

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…

介观与纳米尺度物理 · 物理学 2009-12-16 Andrew M. Essin , J. E. Moore

Robustness against disorder and defects is a pivotal advantage of topological systems, manifested by absence of electronic backscattering in the quantum Hall and spin-Hall effects, and unidirectional waveguiding in their classical analogs.…

介观与纳米尺度物理 · 物理学 2021-03-24 Zhe Zhang , Pierre Delplace , Romain Fleury

It has been proposed that disorder may lead to a new type of topological insulator, called topological Anderson insulator (TAI). Here we examine the physical origin of this phenomenon. We calculate the topological invariants and density of…

无序系统与神经网络 · 物理学 2015-05-30 Yan-Yang Zhang , Rui-Lin Chu , Fu-Chun Zhang , Shun-Qing Shen

We study the disordered topological Anderson insulator in a 2-D (square not strip) geometry. We first report the phase diagram of finite systems and then study the evolution of phase boundaries when the system size is increased to a very…

介观与纳米尺度物理 · 物理学 2012-11-19 Dongwei Xu , Junjie Qi , Jie Liu , Vincent Sacksteder , X. C. Xie , Hua Jiang

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

We construct the generic phase diagrams encoding the topologically distinct localized and delocalized phases of noninteracting fermionic quasiparticles for any symmetry class from the tenfold way in one, two, and three dimensions. To this…

介观与纳米尺度物理 · 物理学 2015-06-12 Takahiro Morimoto , Akira Furusaki , Christopher Mudry