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The recent theoretical prediction and experimental realization of topological insulators (TI) has generated intense interest in this new state of quantum matter. The surface states of a three-dimensional (3D) TI such as Bi_2Te_3, Bi_2Se_3…

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

Altermagnetism (AM) and its associated spin-transport phenomena are typically linked to spin-split electronic band structures in bulk materials. However, the crystal surface has a reduced symmetry with respect to the bulk, which can induce…

Strongly Correlated Electrons · Physics 2026-02-12 Valentin Leeb , Peru d'Ornellas , Fernando de Juan , Adolfo G. Grushin

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

We show that there exist two dimensional (2D) time reversal invariant fractionalized insulators with the property that both their boundary with the vacuum and their boundary with a topological insulator can be fully gapped without breaking…

Strongly Correlated Electrons · Physics 2014-04-21 Chenjie Wang , Michael Levin

We uncover an infinite family of time-reversal symmetric 3d interacting topological insulators of bosons or spins, in time-periodically driven systems, which we term Floquet topological paramagnets (FTPMs). These FTPM phases exhibit…

Strongly Correlated Electrons · Physics 2018-06-07 Andrew C. Potter , Ashvin Vishwanath , Lukasz Fidkowski

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

We study the zero-temperature phase diagram of a two dimensional square lattice loaded by spinless fermions, with nearest neighbor hopping and algebraically decaying pairing. We find that for sufficiently long-range pairing, new phases, not…

Strongly Correlated Electrons · Physics 2018-02-14 L. Lepori , D. Giuliano , S. Paganelli

Topological Kondo insulator (TKI) is an essential example of interacting topological insulator, where electron's correlation effect plays a key role. However, most of our understanding on this timely issue comes from numerical simulations,…

Strongly Correlated Electrons · Physics 2019-08-13 Yin Zhong

We report on the quenching of single Ni adatom moments on Te-terminated Bi2Te2Se and Bi2Te3 topological insulator surfaces. The effect becomes manifested as a missing X-ray magnetic circular dichroism for resonant L3,2 transitions into…

Recent attempts at topological materials have revealed a large class of materials that show gapless surface states protected by time-reversal symmetry and crystal symmetries. Among them, topological insulating states protected by crystal…

Materials Science · Physics 2023-03-20 J. Howard , A. Rodriguez , N. Haldolaarachchige , K. Hettiarachchilage

We discuss a topological classification of insulators and superconductors in the presence of both (non-spatial) discrete symmetries in the Altland-Zirnbauer classification and spatial reflection symmetry in any spatial dimensions. By using…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Ching-Kai Chiu , Hong Yao , Shinsei Ryu

We present a generalization of free fermionic topological insulators that are composed of topological subsystems of differing dimensionality. We specifically focus on topological subsystems of nonzero co-dimension are embedded within a…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Thomas I. Tuegel , Victor Chua , Taylor L. Hughes

The zero gap surface states of a 3D-topological insulator host Dirac fermions with spin locked to the momentum. The gap-less Dirac fermions exhibit electronic behaviour different from those predicted in conventional materials. While…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 Parijat Sengupta , Gerhard Klimeck , Enrico Bellotti

Fractional topological insulators (FTI) are electronic topological phases in $(3+1)$ dimensions enriched by time reversal (TR) and charge $U(1)$ conservation symmetries. We focus on the simplest series of fermionic FTI, whose bulk…

Strongly Correlated Electrons · Physics 2017-10-25 Sharmistha Sahoo , Alexander Sirota , Gil Young Cho , Jeffrey C. Y. Teo

A lattice symmetry, if being nonsymmorphic, is defined by combining a point group symmetry with a fractional lattice translation that cannot be removed by changing the lattice origin. Nonsymmorphic symmetry has a substantial influence on…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Rui-Xing Zhang , Chao-Xing Liu

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

Materials Science · Physics 2011-03-15 Liang Fu

We examine how the properties of the Kondo insulators change when the symmetry of the underlying crystal field multiplets is taken into account. We employ the Anderson lattice model and consider its low-energy physics. We show that in a…

Strongly Correlated Electrons · Physics 2012-02-06 Maxim Dzero , Kai Sun , Piers Coleman , Victor Galitski

Strong interactions can give rise to new fermionic symmetry protected topological phases which have no analogs in free fermion systems. As an example, we have systematically studied a spinless fermion model with $U(1)$ charge conservation…

Strongly Correlated Electrons · Physics 2015-06-17 Shang-Qiang Ning , Hong-Chen Jiang , Zheng-Xin Liu
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