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A two-dimensional topological crystalline insulator (TCI) with a single unit cell (u.c.) thickness is demonstrated here. To that end, one first shows that tetragonal ($C_4$ in-plane) symmetry is not a necessary condition for the creation of…

介观与纳米尺度物理 · 物理学 2022-11-11 Salvador Barraza-Lopez , Gerardo G. Naumis

Topological crystalline insulators (TCI) are insulating electronic phases of matter with nontrivial topology originating from crystalline symmetries. Recent theoretical advances have provided powerful guidelines to search for TCIs in real…

Topological properties of solid states have sparked considerable recent interest due to their importance in the physics of lattices with a non-trivial basis and their potential in the design of novel materials. Here we describe an…

应用物理 · 物理学 2020-02-19 Henning U. Voss , Douglas J. Ballon

We study non-interacting electrons in disordered one-dimensional materials which exhibit a spectral gap, in each of the ten Altland-Zirnbauer symmetry classes. We define an appropriate topology on the space of Hamiltonians so that the…

数学物理 · 物理学 2023-07-04 Jui-Hui Chung , Jacob Shapiro

Axion electrodynamics, first proposed in the context of particle physics, manifests itself in condensed matter physics in the topological field theory description of 3d topological insulators and gives rise to magnetoelectric effect, where…

介观与纳米尺度物理 · 物理学 2016-04-20 Imam Makhfudz

Topological surface states, a new kind of electronic state of matter, have recently been observed on the cleaved surfaces of crystals of a handful of small band gap semiconductors. The underlying chemical factors that enable these states…

材料科学 · 物理学 2013-07-19 R. J. Cava , Huiwen Ji , M. K. Fuccillo , Q. D. Gibson , Y. S. Hor

We discuss the relation between particle number conservation and topological phases. In four spatial dimensions, we find that systems belonging to different topological phases in the presence of a U(1) charge conservation can be connected…

介观与纳米尺度物理 · 物理学 2013-04-22 Jan Carl Budich

Topological states of matter are particularly robust, since they exploit global features insensitive to local perturbations. In this work, we describe how to create a Chern insulator of phonons in the solid state. The proposed…

介观与纳米尺度物理 · 物理学 2015-08-31 V. Peano , C. Brendel , M. Schmidt , F. Marquardt

Topological crystalline insulators (TCIs) are insulating materials whose topological property relies on generic crystalline symmetries. Based on first-principles calculations, we study a three-dimensional (3D) crystal constructed by…

材料科学 · 物理学 2015-12-03 Youngkuk Kim , C. L. Kane , E. J. Mele , Andrew M. Rappe

We show that a hierarchy of topological phases in one dimension -- a topological Devil's staircase -- can emerge at fractional filling fractions in interacting systems, whose single-particle band structure describes a topological or a…

量子气体 · 物理学 2019-05-22 S. Barbarino , D. Rossini , M. Rizzi , R. Fazio , G. E. Santoro , M. Dalmonte

Two-dimensional (2D) topological insulator (TI) have been recognized as a new class of quantum state of matter. They are distinguished from normal 2D insulators with their nontrivial band-structure topology identified by the $Z_2$ number as…

Two-dimensional topological insulators (2D TIs) are a highly desired quantum phase but few materials have demonstrated clear signatures of a 2D TI state. It has been predicted that 2D TIs can be created from thin films of three-dimensional…

介观与纳米尺度物理 · 物理学 2023-02-17 Alexander C. Lygo , Binghao Guo , Arman Rashidi , Victor Huang , Pablo Cuadros-Romero , Susanne Stemmer

Topological phases of matter are protected from local perturbations and therefore have been thought to be robust against decoherence. However, it has not been systematically explored whether and how topological states are dynamically robust…

介观与纳米尺度物理 · 物理学 2020-10-14 Yu-Wei Huang , Pei-Yun Yang , I-Chi Chen , Wei-Min Zhang

We present a semi-analytical theory for the acoustic fields and particle-trapping forces in a viscous fluid inside a capillary tube with arbitrary cross section and ultrasound actuation at the walls. We find that the acoustic fields vary…

流体动力学 · 物理学 2020-02-26 Jacob S. Bach , Henrik Bruus

Topological phonons in crystalline materials have been attracting great interest. However, most cases studied so far are direct generalizations of the topological states from electronic systems. Here, we reveal a novel class of topological…

材料科学 · 物理学 2022-05-06 Jiaojiao Zhu , Weikang Wu , Jianzhou Zhao , Hao Chen , Lifa Zhang , Shengyuan A. Yang

Quadrupole phase, as a novel high-order topological phase, exhibits nontrivial gapless states at the boundaries whose dimension is lower than bulk by two. However, this phase has not been observed experimentally in two-dimensional (2D)…

材料科学 · 物理学 2022-11-03 Z. H. Li , P. Zhou , Q. H. Yan , X. Y. Peng , Z. S. Ma , L. Z. Sun

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

量子物理 · 物理学 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

We propose theoretically a reconfigurable two-dimensional (2D) hexagonal sonic crystal with higher-order topology protected by the six-fold, $C_6$, rotation symmetry. The acoustic band gap and band topology can be controlled by rotating the…

介观与纳米尺度物理 · 物理学 2020-12-16 Zhi-Kang Lin , Shi-Qiao Wu , Hai-Xiao Wang , Jian-Hua Jiang

In higher-order topological insulators, bulk and surface electronic states are gapped, while there appear gapless hinge states protected by spatial symmetry. Here we show by ab initio calculations that the La apatite electride is a…

材料科学 · 物理学 2020-11-04 Motoaki Hirayama , Ryo Takahashi , Satoru Matsuishi , Hideo Hosono , Shuichi Murakami