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We show that compositions of time-reversal and spatial symmetries, also known as the magnetic-space-group symmetries, protect topological invariants as well as surface states that are distinct from those of all preceding topological states.…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Bingrui Peng , Yi Jiang , Zhong Fang , Hongming Weng , Chen Fang

Three-dimensional topological insulators host surface states with linear dispersion, which manifest as a Dirac cone. Nanoscale transport measurements provide direct access to the transport properties of the Dirac cone in real space and…

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…

Mesoscale and Nanoscale Physics · Physics 2014-01-13 P. Baireuther , J. M. Edge , I. C. Fulga , C. W. J. Beenakker , J. Tworzydło

Topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap. So far, most of the study on topological insulator surfaces has been limited to…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 L. A. Wray , Y. Xia , S. -Y. Xu , Y. S. Hor , R. J. Cava , A. Bansil , H. Lin , M. Z. Hasan

We study three dimensional systems where strong repulsion leads to an insulating state via spontaneously generated spin-orbit interactions. We discuss a microscopic model where the resulting state is topological. Such topological `Mott'…

Mesoscale and Nanoscale Physics · Physics 2011-06-15 Yi Zhang , Ying Ran , Ashvin Vishwanath

The development of nanoscale solid-state devices exploiting the promising topological surface states of topological insulator materials requires careful device engineering and improved materials quality. For instance, the introduction of a…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 C. Lupo , J. Andzane , D. Montemurro , T. Bauch , F. Lombardi , C. Weber , I. Rungger , S. E. de Graaf

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…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 C. Wang , X. R. Wang

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

Superconductors with nontrivial band structure topology represent a class of materials with unconventional and potentially useful properties. Recent years have seen much success in creating artificial hybrid structures exhibiting main…

We study topological properties of density wave states with broken translational symmetry in two-dimensional multi-orbital systems with a particular focus on t$_{2g}$ orbitals in square lattice. Due to distinct symmetry properties of…

Strongly Correlated Electrons · Physics 2015-05-19 Bohm-Jung Yang , Hae-Young Kee

In this work we explore experimental signatures of fractional topological insulators in three dimensions. These are states of matter with a fully gapped bulk that host exotic gapless surface states and fractionally charged quasiparticles.…

Strongly Correlated Electrons · Physics 2013-05-30 Brian Swingle

It is well known that the 3D electronic topological insulator (TI) with charge-conservation and time-reversal symmetry cannot have a trivial insulating surface that preserves symmetry. It is often implicitly assumed that if the TI surface…

Strongly Correlated Electrons · Physics 2014-05-20 Chong Wang , Andrew C. Potter , T. Senthil

Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

The study of the propagation of electrons with a varying spinor orientability is performed using the coordinate transformation method. Topological Insulators are characterized by an odd number of changes of the orientability in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 D. Schmeltzer

In the development of topological photonics, achieving three dimensional topological insulators is of significant interest since it enables the exploration of new topological physics with photons, and promises novel photonic devices that…

Optics · Physics 2018-02-09 Qian Lin , Xiao-Qi Sun , Meng Xiao , Shou-Cheng Zhang , Shanhui Fan

Surface-states of topological insulators are assumed to be robust against non-magnetic defects in the crystal. However, recent theoretical models and experiments indicate that even non-magnetic defects can perturb these states. Our…

Materials Science · Physics 2022-07-25 Sharmila N. Shirodkar , Pratibha Dev

We demonstrate, both theoretically and experimentally, the concept of non-linear second-order topological insulators, a class of bulk insulators with quantized Wannier centers and a bulk polarization directly controlled by the level of…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Farzad Zangeneh-Nejad , Romain Fleury

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

Low-field magnetotransport measurements of topological insulators such as Bi$_2$Se$_3$ are important for revealing the nature of topological surface states by quantum corrections to the conductivity, such as weak-antilocalization. Recently,…

The discovery of three-dimensional (3D) topological insulators opens a gateway to generate unusual phases and particles made of the helical surface electrons, proposing new applications using unusual spin nature. Demonstration of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 Seung Sae Hong , Yi Zhang , Judy J. Cha , Xiao-Liang Qi , Yi Cui