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Effects of disorder on two-dimensional Z2 topological insulator are studied numerically by the transfer matrix method. Based on the scaling analysis, the phase diagram is derived for a model of HgTe quantum well as a function of disorder…

介观与纳米尺度物理 · 物理学 2011-05-10 Ai Yamakage , Kentaro Nomura , Ken-Ichiro Imura , Yoshio Kuramoto

Disorder effects on three-dimensional second-order topological insulators (3DSOTIs) are investigated numerically and analytically. The study is based on a tight-binding Hamiltonian for non-interacting electrons on a cubic lattice with a…

介观与纳米尺度物理 · 物理学 2020-10-07 C. Wang , X. R. Wang

We consider the interplay of disorder and interactions upon the gapless surface states of 3D topological superconductors. The combination of topology and superconducting order inverts the action of time-reversal symmetry, so that extrinsic…

无序系统与神经网络 · 物理学 2014-05-07 Matthew S. Foster , Hong-Yi Xie , Yang-Zhi Chou

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

We study the influence of disorder on the topological transition from a two-dimensional Dirac semi-metal to an insulating state. This transition is described as a continuous merging of two Dirac points leading to a semi-Dirac spectrum at…

介观与纳米尺度物理 · 物理学 2013-07-26 David Carpentier , Andrei A. Fedorenko , Edmond Orignac

We study the effect of electrostatic disorder on the conductivity of a three-dimensional antiferromagnetic insulator (a stack of quantum anomalous Hall layers with staggered magnetization). The phase diagram contains regions where the…

介观与纳米尺度物理 · 物理学 2014-01-13 P. Baireuther , J. M. Edge , I. C. Fulga , C. W. J. Beenakker , J. Tworzydło

We reconsider the phase diagram of a three-dimensional $\mathbb{Z}_2$ topological insulator in the presence of short-ranged potential disorder with the insight that non-perturbative rare states destabilize the noninteracting Dirac semimetal…

无序系统与神经网络 · 物理学 2024-06-28 Yixing Fu , Justin H. Wilson , David A. Huse , J. H. Pixley

We investigate the phase diagram of a three-dimensional, time-reversal symmetric topological superconductor in the presence of charge impurities and random $s$-wave pairing. Combining complimentary field theoretic and numerical methods, we…

介观与纳米尺度物理 · 物理学 2017-06-02 Bitan Roy , Yahya Alavirad , Jay D. Sau

We investigate the effect of disorder on topologically nontrivial states in a two dimension (2D) mechanical system. We first propose a quantum spin Hall (QSH) insulator based on an out-of-plane spring-mass model and analytically study the…

应用物理 · 物理学 2023-09-01 Xiaotian Shi , Rajesh Chaunsali , Georgios Theocharis , Huaqing Huang , Rui Zhu , Jinkyu Yang

In light of recent progress in the study of amorphous topological phases, we investigate the effects of structural disorder on the topological properties of a two-dimensional quantum spin Hall insulator modeled by the Bernevig-Hughes-Zhang…

无序系统与神经网络 · 物理学 2025-10-28 Ranadeep Roy , Yuan-Ming Lu

The tenfold classification of topological phases enumerates all strong topological phases for both clean and disordered systems. These strong topological phases are connected to the existence of robust edge states. However, in addition to…

无序系统与神经网络 · 物理学 2020-06-16 Jahan Claes , Taylor Hughes

Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain…

介观与纳米尺度物理 · 物理学 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band…

介观与纳米尺度物理 · 物理学 2024-08-08 Tan Peng , Yong-Chen Xiong , Chun-Bo Hua , Zheng-Rong Liu , Xiaolu Zhu , Wei Cao , Fang Lv , Yue Hou , Bin Zhou , Ziyu Wang , Rui Xiong

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

The disorder-induced Superconductor-to-Insulator Transition in amorphous Nb$_{x}$Si$_{1-x}$ two-dimensional thin films is studied for different niobium compositions $x$ through a variation of the sample thickness $d$. We show that the…

超导电性 · 物理学 2015-06-22 O. Crauste , F. Couëdo , L. Bergé , C. A. Marrache-Kikuchi , L. Dumoulin

From transfer-matrix calculation of localization lengths and their finite-size scaling analyses, we evaluate critical exponents of the Anderson metal-insulator transition in three dimensional (3D) orthogonal class with particle-hole…

无序系统与神经网络 · 物理学 2020-01-29 Xunlong Luo , Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

We investigate the possibility of using structural disorder to induce a topological phase in a solid state system. Using first-principles calculations, we introduce structural disorder in the trivial insulator BiTeI and observe the…

材料科学 · 物理学 2021-06-30 Paul Corbae , Frances Hellman , Sinead M. Griffin

We examine the impact of non-magnetic disorder on the electronic states of a multilayer structure comprising layers of both topological and conventional band insulators. Employing the Burkov-Balents model with renormalized tunneling…

介观与纳米尺度物理 · 物理学 2024-04-25 Z. Z. Alisultanov , A. Kudlis

Higher-order nodal line semimetals represent a recently proposed topological semimetal class that harbors bulk nodal lines and features gapless hinge Fermi arc excitations, governed by the bulk-hinge correspondence. In this study, we…

无序系统与神经网络 · 物理学 2024-01-25 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen

The parity anomalous semimetal is a topological state of matter characterized by its semi-metallic nature and a quantum Hall conductance of one-half $e^{2}/h$ ($e$ is the elementary charge and $h$ is the Planck constant). Here we…

介观与纳米尺度物理 · 物理学 2025-11-19 Shi-Hao Bi , Bo Fu , Shun-Qing Shen
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