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Inspired by recent experimental observations of hybrid topological states [Hossain et al. Nature 628, 527 (2024)], we predict hybrid-order topological insulators in 1H transition metal compounds (TMCs), where both second-order and…

Materials Science · Physics 2024-12-31 Ning-Jing Yang , Zhigao Huang , Jian-Min Zhang

The simultaneous presence of seemingly incompatible properties of solids often provides a unique opportunity to address questions of fundamental and practical importance. The coexistence of ferroelectric and topological orders is one such…

Materials Science · Physics 2016-04-20 Shi Liu , Youngkuk Kim , Liang Z. Tan , Andrew M. Rappe

A topological insulator (TI) interfaced with a magnetic insulator (MI) may host an anomalous Hall effect (AHE), a quantum AHE, and a topological Hall effect (THE). Recent studies, however, suggest that coexisting magnetic phases in TI/MI…

Based on first-principles calculations and symmetry analysis, we propose that EuIn$_2$As$_2$ is a long awaited axion insulator with antiferromagnetic (AFM) long range order. Characterized by the parity-based invariant $\mathbb Z_4=2$, the…

Materials Science · Physics 2019-07-03 Yuanfeng Xu , Zhida Song , Zhijun Wang , Hongming Weng , Xi Dai

Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D)…

Strongly Correlated Electrons · Physics 2015-06-01 Chong Wang , T. Senthil

Topological states of quantum matter have attracted great attention in condensed matter physics and materials science. The study of time-reversal-invariant (TRI) topological states in quantum materials has made tremendous progress in both…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Dongqin Zhang , Minji Shi , Tongshuai Zhu , Dingyu Xing , Haijun Zhang , Jing Wang

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

Motivated by the study of stacking faults in weak topological insulators and the observation of magnetic domain walls in MnBi$_{2n}$Te$_{3n+1}$, we explore the topological properties of magnetic domain walls in antiferromagnetic topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Gabriele Naselli , Ion Cosma Fulga

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

We study a non-Hermitian non-Abelian topological insulator preserving $PT$ symmetry, where the non-Hermitian term represents nonreciprocal hoppings. As it increases, a spontaneous $PT$ symmetry breaking transition occurs in the perfect-flat…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Motohiko Ezawa

The addition of magnetic impurities in topological insulators can drive ferromagnetic order that leads to novel quantum anomalous Hall transport well below the Curie temperature. The fragility of the quantized regime has been ascribed to…

In this paper we construct fully symmetric wavefunctions for the spin-polarized fractional Chern insulators (FCI) and time-reversal-invariant fractional topological insulators (FTI) in two dimensions using the parton approach. We show that…

Strongly Correlated Electrons · Physics 2012-04-23 Yuan-Ming Lu , Ying Ran

The phase structure of 2-dimensional topological insulators under a sufficiently strong electron-electron interaction is investigated. The effective theory is constructed by extending the idea of the Kane-Mele model on the graphenelike…

Strongly Correlated Electrons · Physics 2013-06-05 Yasufumi Araki , Taro Kimura

Magnetic topological insulators such as Cr-doped (Bi,Sb)2Te3 provide a platform for the realization of versatile time-reversal symmetry-breaking physics. By constructing heterostructures with N\'eel order in an antiferromagnetic CrSb and…

We show that proximity to an altermagnet provides an efficient route to engineering non-Hermitian higher-order topological phases. The proximity-induced altermagnetic order gaps the edge states of a topological insulator, thereby driving a…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Xiang Ji , Dengfeng Wang , Tong Zhou , Xiaosen Yang

In this paper, we propose a generalization of the $S$-duality of four-dimensional quantum electrodynamics ($\text{QED}_4$) to $\text{QED}_4$ with fractionally charged excitations, the fractional $S$-duality. Such $\text{QED}_4$ can be…

Strongly Correlated Electrons · Physics 2017-08-22 Peng Ye , Meng Cheng , Eduardo Fradkin

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

Topological insulators are bulk insulators with exotic surface states, protected under time-reversal symmetry, that hold promise in observing many exciting condensed-matter phenomena. In this report, we show that by having a topological…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 S. Mathimalar , S. Sasmal , P. Rajasekhar , A. Bhardwaj , S. Chaudhary , B. Satpati , K. V. Raman

The search for new topological materials and states of matter is presently at the forefront of quantum materials research. One powerful approach to novel topological phases beyond the thermodynamic space is to combine different…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Pavel P. Shibayev , Elio J. König , Maryam Salehi , Jisoo Moon , Myung-Geun Han , Seongshik Oh

While the experimental progress on three dimensional topological insulators is rapid, the development of their two dimensional counterparts has been comparatively slow, despite their technological promise. The main reason is materials…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 M. Kindermann
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