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Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on…

材料科学 · 物理学 2013-09-04 Yoichi Ando

We discuss the relation between bulk topological invariants and the spectrum of surface states in three dimensional non-interacting topological insulators. By studying particular models, and considering general boundary conditions for the…

介观与纳米尺度物理 · 物理学 2015-05-27 L. Isaev , Y. H. Moon , G. Ortiz

The quantum walk was originally proposed as a quantum mechanical analogue of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete time quantum walks provide a…

介观与纳米尺度物理 · 物理学 2010-09-30 Takuya Kitagawa , Mark S. Rudner , Erez Berg , Eugene Demler

Topological phases of matter have been extensively studied for their intriguing bulk and edge properties. Recently, higher-order topological insulators with boundary states that are two or more dimensions lower than the bulk states, have…

介观与纳米尺度物理 · 物理学 2020-01-08 Xiujuan Zhang , Bi-Ye Xie , Hong-Fei Wang , Xiangyuan Xu , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen

Quantum spin Hall insulators, or synonymously known as 2D topological insulators, are crucial 2D systems hosting topologically protected edge states. The working temperature of this topological quantum phase is dictated by the inverted…

We have studied transport and magnetic properties of Bi_{1-x}Sb_x, which is believed to be a topological insulator - a new state of matter where an insulating bulk supports an intrinsically metallic surface. In nominally insulating…

材料科学 · 物理学 2015-05-13 A. A. Taskin , Yoichi Ando

Simulations of quantum transport in coherent conductors have evolved into mature techniques that are used in fields of physics ranging from electrical engineering to quantum nanoelectronics and material science. The most efficient…

介观与纳米尺度物理 · 物理学 2019-12-25 Mathieu Istas , Christoph Groth , Xavier Waintal

The three-dimensional topological insulator (originally called "topological insulators") is the first example in nature of a topologically ordered electronic phase existing in three dimensions that cannot be reduced to multiple copies of…

介观与纳米尺度物理 · 物理学 2011-05-03 M. Zahid Hasan , David Hsieh , Yuqi Xia , L. Andrew Wray , Su-Yang Xu , Charles L. Kane

Many efforts have been made in the past decade to realize topological superconductivity using superconducting proximity effect, but an ideal platform is still lacking. A 3D topological insulator (TI) is promising for this purpose due to the…

介观与纳米尺度物理 · 物理学 2025-08-18 Ella Nikodem , Jakob Schluck , Henry F. Legg , Max Geier , Michal Papaj , Mahasweta Bagchi , Liang Fu , Yoichi Ando

Three dimensional topological insulator represents a class of novel quantum phases hosting robust gapless boundary excitations, which is protected by global symmetries such as time reversal, charge conservation and spin rotational symmetry.…

介观与纳米尺度物理 · 物理学 2014-03-25 Yuan-Ming Lu , Dung-Hai Lee

The study of quantum vortices provides critical insights into non-equilibrium dynamics across diverse physical systems. While previous research has focused on point-like vortices in two dimensions and line-like vortices in three dimensions,…

量子气体 · 物理学 2025-04-17 Wei-can Yang

A chiral supersolid is a quantum phase that simultaneously exhibits crystalline order, superfluidity, and topological spin texture, with spontaneously broken translational, U(1) gauge, and chiral symmetries. Here, we demonstrate a chiral…

量子气体 · 物理学 2025-08-21 Biao Dong , Xiao-Fei Zhang , Wei Han , Renyuan Liao , Xue-Ying Yang , Wu-Ming Liu , Yong-Chang Zhang

Topological insulators are materials with an insulating bulk interior while maintaining gapless boundary states against back scattering. Bi$_2$Se$_3$ is a prototypical topological insulator with a Dirac-cone surface state around $\Gamma$.…

Topologically protected gapless edge/surface states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

材料科学 · 物理学 2020-09-30 Baizhan Xia , Shengjie Zheng , Liang Tong , Junrui Jiao , Guiju Duan , Dejie Yu

We discuss several bosonic topological phases in (3+1) dimensions enriched by a global $\mathbb{Z}_2$ symmetry, and gauging the $\mathbb{Z}_2$ symmetry. More specifically, following the spirit of the bulk-boundary correspondence, expected…

强关联电子 · 物理学 2017-10-11 Xiao Chen , Apoorv Tiwari , Chetan Nayak , Shinsei Ryu

Programmable quantum processors are suitable platforms for simulating quantum systems, of which topological phases are of particular interest. We simulate the quench dynamics of a one-dimensional system on IBM Q devices. The topological…

介观与纳米尺度物理 · 物理学 2022-01-03 Huai-Chun Chang , Hsiu-Chuan Hsu

Quantum spin models find applications in many different areas, such as spintronics, high-Tc superconductivity, and even complex optimization problems. However, studying their many-body behaviour, especially in the presence of frustration,…

量子物理 · 物理学 2022-03-23 Miguel Bello , Gloria Platero , Alejandro González-Tudela

We study the surface resistivity of a three-dimensional topological insulator when the boundaries exhibit a non trivial curvature. We obtain an analytical solution for a spherical topological insulator, and we show that a non trivial…

介观与纳米尺度物理 · 物理学 2011-06-27 V. Parente , P. Lucignano , P. Vitale , A. Tagliacozzo , F. Guinea

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

介观与纳米尺度物理 · 物理学 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

We consider two-dimensional Chern insulators and time-reversal invariant topological insulators and discuss the effect of perturbations breaking either particle-number conservation or time-reversal symmetry. The appearance of trivial mass…

强关联电子 · 物理学 2016-08-18 Stephan Rachel