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Topological crystalline insulators are new states of matter in which the topological nature of electronic structures arises from crystal symmetries. Here we predict the first material realization of topological crystalline insulator in the…

Materials Science · Physics 2012-08-01 Timothy H. Hsieh , Hsin Lin , Junwei Liu , Wenhui Duan , Arun Bansil , Liang Fu

We study interaction effects on the topological crystalline insulators protected by time-reversal ($T$) and reflection symmetry ($R$) in two and three spatial dimensions. From the stability analysis of the edge states with bosonization, we…

Strongly Correlated Electrons · Physics 2015-08-11 Tsuneya Yoshida , Akira Furusaki

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg

Excitonic insulators are insulating states formed by the coherent condensation of electron and hole pairs into BCS-like states. Isotropic spatial wave functions are commonly considered for excitonic condensates since the attractive…

Strongly Correlated Electrons · Physics 2019-01-15 Rui Wang , Onur Erten , Baigeng Wang , D. Y. Xing

We introduce a system of stacked two-dimensional electron and hole gas layers with Rashba spin orbit interaction and show that the tunnel coupling between the layers induces a strong three- dimensional (3D) topological insulator phase. At…

Mesoscale and Nanoscale Physics · Physics 2016-05-20 Luka Trifunovic , Daniel Loss , Jelena Klinovaja

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

We study the interaction effects on thin films of topological mirror Kondo insulators (TMKI), where the strong interaction is expected to play an important role. Our study has led to the following results: (1) We identify a rich phase…

Strongly Correlated Electrons · Physics 2016-12-21 Rui-Xing Zhang , Cenke Xu , Chao-Xing Liu

The tunability of topological surface states and controllable opening of the Dirac gap are of great importance to the application of topological materials. In topological crystalline insulators (TCIs), crystal symmetry and topology of…

Materials Science · Physics 2018-10-17 Feng Wei , Chieh-Wen Liu , Da Li , Chun-Yang Wang , Hong-Rui Zhang , Ji-rong Sun , Xuan P. A. Gao , Song Ma , Zhidong Zhang

Topological crystalline insulators are topological insulators whose surface states are protected by the crystalline symmetry, instead of the time reversal symmetry. Similar to the first generation of three-dimensional topological insulators…

Materials Science · Physics 2015-06-23 Jie Shen , Judy J. Cha

The excitonic insulator is an elusive electronic phase exhibiting a correlated excitonic ground state. Materials with such a phase are expected to have intriguing properties such as excitonic high-temperature superconductivity. However,…

Strongly Correlated Electrons · Physics 2021-12-07 Dominik Christiansen , Malte Selig , Mariana Rossi , Andreas Knorr

One of the most striking manifestations of electronic properties of topological insulators is the dependence of the photocurrent direction on the helicity of circularly polarized optical excitation. The helicity dependent photocurrents,…

Discrete degrees of freedom, such as spin and orbital, can provide intriguing strategies to manipulate electrons, photons, and phonons. With a spin degree of freedom, topological insulators have stimulated intense interests in…

Mesoscale and Nanoscale Physics · Physics 2021-04-22 Jingwen Ma , Xiang Xi , Yuan Li , Xiankai Sun

We investigate higher-order topological insulators protected by chiral and anticommuting mirror symmetries. Using models in the BDI class, which include the prototypical topological quadrupole insulator, we show that breaking mirror…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Suman Aich , Babak Seradjeh

The strong excitonic effect in monolayer transition metal dichalcogenide (TMD) semiconductors has enabled many fascinating light-matter interaction phenomena. Examples include strongly coupled exciton-polaritons and nearly perfect atomic…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Hongchao Xie , Shengwei Jiang , Daniel A. Rhodes , James C. Hone , Jie Shan , Kin Fai Mak

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 discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

Materials Science · Physics 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

In principle the stacking of different two-dimensional (2D) materials allows the construction of 3D systems with entirely new electronic properties. Here we propose to realize topological crystalline insulators (TCI) protected by mirror…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Sanjib Kumar Das , Binghai Yan , Jeroen van den Brink , Ion Cosma Fulga

Topological crystalline insulators (TCIs) are classified by topological invariants defined with respect to the crystalline symmetries of their gapped bulk. The bulk-boundary correspondence then links the topological properties of the bulk…

Mesoscale and Nanoscale Physics · Physics 2024-12-24 Gengming Liu , Violet Workman , Jiho Noh , Yuhao Ma , Taylor L. Hughes , Wladimir A. Benalcazar , Gaurav Bahl

Second-order topological insulators and superconductors have a gapped excitation spectrum in bulk and along boundaries, but protected zero modes at corners of a two-dimensional crystal or protected gapless modes at hinges of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Max Geier , Luka Trifunovic , Max Hoskam , Piet W. Brouwer

We theoretically investigate the effect of intertube tunneling in topological superfluid phases of a quasi-one-dimensional Fermi gas with a Rashba-type spin-orbit interaction. It is shown that the effective Hamiltonian is analogous to that…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Takeshi Mizushima , Masatoshi Sato