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The interplay of topological electronic band structures and strong interparticle interactions provides a promising path towards the constructive design of robust, long-range entangled many-body systems. As a prototype for such systems, we…

Strongly Correlated Electrons · Physics 2025-02-19 Steffen Bollmann , Chandan Setty , Urban F. P. Seifert , Elio J. König

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…

We construct exactly soluble lattice models for fractionalized, time reversal invariant electronic insulators in 2 and 3 dimensions. The low energy physics of these models is exactly equivalent to a non-interacting topological insulator…

Strongly Correlated Electrons · Physics 2013-05-29 Michael Levin , F. J. Burnell , Maciej Koch-Janusz , Ady Stern

Topological insulators are new states of quantum matter with metallic edge/surface states. In this paper, we pointed out that there exists a new type of particle-hole symmetry-protected topological insulator - topological hierarchy…

Strongly Correlated Electrons · Physics 2015-09-23 Jing He , Chun-Li Zang , Ying Liang , Su-Peng Kou

We prove that there exists a class of crystalline insulators, which we call "fragile Mott insulators" which are not adiabatically connected to any sort of band insulator provided time-reversal and certain point-group symmetries are…

Strongly Correlated Electrons · Physics 2015-05-19 Hong Yao , Steven A. Kivelson

Time-reversal invariant three-dimensional topological insulators can be defined fundamentally by a topological field theory with a quantized axion angle theta of zero or pi. It was recently shown that fractional quantized values of theta…

Strongly Correlated Electrons · Physics 2012-12-24 Joseph Maciejko , Xiao-Liang Qi , Andreas Karch , Shou-Cheng Zhang

Heavy fermion materials have recently attracted attention for their potential to combine topological protection with strongly correlated electron physics. To date, the ideas of topological protection have been restricted to the heavy…

Strongly Correlated Electrons · Physics 2017-08-03 Po-Yao Chang , Onur Erten , Piers Coleman

We theoretically investigated the topological-protected edge states (TESs) in an anisotropic honeycomb lattice with mirror and chiral symmetries, characterized by an alternative topological invariant - fractional polarization (FP), rather…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Wei Jie Chan , Peihao Fu , L. K. Ang , Yee Sin Ang

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Arun Bansil , Hsin Lin , Tanmoy Das

How do we uniquely identify a quantum phase, given its ground state wave-function? This is a key question for many body theory especially when we consider phases like topological insulators, that share the same symmetry but differ at the…

Strongly Correlated Electrons · Physics 2011-01-07 Ari M. Turner , Yi Zhang , Ashvin Vishwanath

Density-functional Theory (DFT) approaches have recently been used to judge the topological order of various materials despite its well-known band gap underestimation. Use of the more accurate quasi-particle GW approach reveals here few…

Materials Science · Physics 2015-05-27 Julien Vidal , Xiuwen Zhang , Liping Yu , Jun-Wei Luo , Alex Zunger

Spin-orbit coupled materials have attracted revived prominent research interest as of late, especially due their direct connection with topological notions. Arguably, a hallmark of this pursuit is formed by the concept of the topological…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 Robert-Jan Slager

The discovery of topological insulators in non-interacting electron systems has motivated the community to search such topological states of matter in correlated electrons both theoretically and experimentally. In this paper we investigate…

Strongly Correlated Electrons · Physics 2013-05-30 Minh-Tien Tran , Tetsuya Takimoto , Ki-Seok Kim

We propose a model of three-dimensional topological insulators consisting of weakly coupled electron- and hole-gas layers with Rashba spin-orbit interaction stacked along a given axis. We show that in the presence of strong…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Yanick Volpez , Daniel Loss , Jelena Klinovaja

While many features of topological band insulators are commonly discussed at the level of single-particle electron wave functions, such as the gapless Dirac spectrum at their boundary, it remains elusive to develop a {\it hydrodynamic} or…

Strongly Correlated Electrons · Physics 2016-04-20 AtMa P. O. Chan , Thomas Kvorning , Shinsei Ryu , Eduardo Fradkin

The modern theory of charge polarization in solids is based on a generalization of Berry's phase. Its possible quantization lies at the heart of our understanding of all systems with topological band structures that were discovered over the…

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 Titus Neupert , Frank Schindler

Quadrupole topological insulators are a new class of topological insulators with quantized quadrupole moments, which support protected gapless corner states. The experimental demonstrations of quadrupole-topological insulators were reported…

Mesoscale and Nanoscale Physics · Physics 2021-06-01 Bo Lv , Rui Chen , Rujiang Li , Chunying Guan , Bin Zhou , Guohua Dong , Chao Zhao , YiCheng Li , Ying Wang , Huibin Tao , Jinhui Shi , Dong-Hui Xu

Topological Kondo insulators are strongly correlated materials, where itinerant electrons hybridize with localized spins giving rise to a topologically non-trivial band structure. Here we use non-perturbative bosonization and…

Strongly Correlated Electrons · Physics 2015-06-03 Alejandro M. Lobos , Ariel O. Dobry , Victor Galitski

The topology of insulators is usually revealed through the presence of gapless boundary modes: this is the so-called bulk-boundary correspondence. However, the many-body wavefunction of a crystalline insulator is endowed with additional…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Sander H. Kooi , Guido van Miert , Carmine Ortix
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