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The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

We present exactly solvable examples that topological Mott insulators can emerge from topologically trivial states due to strong interactions between atoms for atomic mixtures trapped in one-dimensional optical superlattice systems. The…

Quantum Gases · Physics 2013-07-22 Zhihao Xu , Shu Chen

Electrical currents at the surface or edge of a topological insulator are intrinsically spin-polarized. We show that such surface/edge currents can be used to switch the orientation of a molecular magnet weakly coupled to the surface or…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Elina Locane , Piet W. Brouwer

The recent discovery of antiferromagnetic (AFM) topological insulator (TI) MnBi$_2$Te$_4$ has triggered great research efforts on exploring novel magnetic topological physics. Based on first-principles calculations, we find that the…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Jiaheng Li , Chong Wang , Zetao Zhang , Bing-Lin Gu , Wenhui Duan , Yong Xu

Topological insulators (TIs) are bulk insulators that possess robust helical conducting states along their interfaces with conventional insulators. A tremendous research effort has recently been devoted to TI-based heterostructures, in…

Materials Science · Physics 2014-01-17 Xiaoguang Li , Gufeng Zhang , Guangfen Wu , Hua Chen , Dimitrie Culcer , Zhenyu Zhang

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 Motohiko Ezawa

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

Strongly Correlated Electrons · Physics 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

The interplay between topology and interaction always plays an important role in condensed matter physics and induces many exotic quantum phases, while rare transition metal layered material (TMLM) has been proved to possess both. Here we…

In a closed system, it is well known that the time-reversal symmetry can lead to Kramers degeneracy and protect nontrivial topological states such as quantum spin Hall insulator. In this letter we address the issue whether these effects are…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Tian-Shu Deng , Lei Pan , Yu Chen , Hui Zhai

The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulator. In several ways it is a spin-orbit-induced analogue in…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Andrew M. Essin , J. E. Moore

We examine the emergence of topological Anderson insulating phases in the spinful Haldane model with Hubbard and next-neighbor density-density interactions, subject to Anderson disorder. Using finite-size exact diagonalization, we…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Alejandro J. Uría-Álvarez , Roser Valentí

Topological band insulators which are dynamically generated by electron-electron interactions have been the- oretically proposed in two and three dimensional lattice models. We present evidence that the two-dimensional version can be…

Strongly Correlated Electrons · Physics 2011-11-15 Andreas Rüegg , Gregory A. Fiete

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

We investigate the topological properties of hardcore bosons possessing nearest-neighbor repulsive interactions on a two-leg ladder. We show that by allowing nearest neighbour dimerized interactions instead of hopping dimerization, the…

Quantum Gases · Physics 2024-10-08 Rajashri Parida , Ashirbad Padhan , Tapan Mishra

A $d$-dimensional second-order topological insulator (SOTI) can host topologically protected $(d - 2)$-dimensional gapless boundary modes. Here we show that a 2D non-Hermitian SOTI can host zero-energy modes at its corners. In contrast to…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Tao Liu , Yu-Ran Zhang , Qing Ai , Zongping Gong , Kohei Kawabata , Masahito Ueda , Franco Nori

Critical phenomena and quantum phase transitions are paradigmatic concepts in modern condensed matter physics. A central example in the field of mesoscopic physics is the localization-delocalization (metal-insulator) quantum phase…

Mesoscale and Nanoscale Physics · Physics 2010-07-19 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We study topological insulators characterized by the integer topological invariant Z, in even and odd spacial dimensions. These are well understood in case when there are no interactions. We extend the earlier work on this subject to…

Mesoscale and Nanoscale Physics · Physics 2012-02-07 V. Gurarie

We use Dirac quantization of flux to study fractional charges and axion angles \theta in interacting topological insulators with gapless surface modes protected by time-reversal symmetry. In interacting topological insulators, there are two…

Strongly Correlated Electrons · Physics 2010-10-12 K. -S. Park , H. Han

We study the transport properties of a hybrid junction made of a ferromagnetic lead in electrical connection with the helical edge modes of a two-dimensional topological insulator. In this system, the time reversal symmetry, which…

Mesoscale and Nanoscale Physics · Physics 2020-11-30 Francesco Romeo

Two-dimensional topological insulators, characterized by symmetry-protected anomalous boundary modes, have been generalized to the strongly correlated regime for both bosonic and fermionic systems. As correlated topological insulators (TI)…

Strongly Correlated Electrons · Physics 2025-11-18 Yixin Ma , Chao Xu , Shenghan Jiang