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Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Ziming Zhu , Zhi-Ming Yu , Weikang Wu , Lifa Zhang , Wei Zhang , Fan Zhang , Shengyuan A. Yang

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

Systems with dipole moment conservation have been of recent interest, as they realize both novel quantum dynamics and exotic ground state phases. In this work, we study some generic properties of 1-D and 2-D dipole-conserving fermionic…

Strongly Correlated Electrons · Physics 2024-03-29 Amogh Anakru , Zhen Bi

The topology of the Brillouin zone, foundational in topological physics, is always assumed to be a torus. We theoretically report the construction of Brillouin real projective plane ($\mathrm{RP}^2$) and the appearance of quadrupole…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Jinbing Hu , Songlin Zhuang , Yi Yang

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary correspondence. However, the existence of higher-order Fermi…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Bin Zhou , Dong-Hui Xu

We continue our investigations of the nature of the linear-response tensors in planar-Hall and planar-thermal Hall configurations, involving three-dimensional nodal-point semimetals, by considering here nodes hosting pseudospin-1…

Mesoscale and Nanoscale Physics · Physics 2025-04-04 Firdous Haidar , Ipsita Mandal

Floquet engineering, the concept of tailoring a system by a periodic drive, is increasingly exploited to design and manipulate topological phases of matter. In this work, we study periodically driven higher-order topological Dirac…

Mesoscale and Nanoscale Physics · Physics 2023-03-30 Zi-Ming Wang , Rui Wang , Jin-Hua Sun , Ting-Yong Chen , Dong-Hui Xu

We investigated the electronic properties of the topological insulator Bi$_{2}$Te$_{3}$ by scanning tunneling microscopy and spectroscopy at low temperature. We obtained high-resolution quasiparticle interference data of the topological…

Spectral measurements of boundary localized in-gap modes are commonly used to identify topological insulators via the bulk-boundary correspondence. This can be extended to high-order topological insulators for which the most striking…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Christopher W. Peterson , Tianhe Li , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Ternary semiconducting or metallic half-Heusler compounds with an atomic composition 1:1:1 are widely studied for their flexible electronic properties and functionalities. Recently, a new material property of half-Heusler compounds was…

Materials Science · Physics 2014-10-28 Binghai Yan , Anne de Visser

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

Topological phases of matter have been extensively studied for their intriguing bulk and edge properties. Recently, higher-order topological insulators with boundary states that are two or more dimensions lower than the bulk states, have…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Xiujuan Zhang , Bi-Ye Xie , Hong-Fei Wang , Xiangyuan Xu , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen

3D Dirac semi-metals (DSMs) are materials that have massless Dirac electrons and exhibit exotic physical properties It has been suggested that structurally distorting a DSM can create a Topological Insulator (TI), but this has not yet been…

We theoretically study intrinsic superconductivity in doped Dirac semimetals. Dirac semimetals host bulk Dirac points, which are formed by doubly degenerate bands, so the Hamiltonian is described by a $4 \times 4$ matrix and six types of…

Superconductivity · Physics 2016-07-19 Tatsuki Hashimoto , Shingo Kobayashi , Yukio Tanaka , Masatoshi Sato

Topological physics and strong electron-electron correlations in quantum materials are typically studied independently. However, there have been rapid recent developments in quantum materials in which topological phase transitions emerge…

The existence of chiral edge states, corresponding to the nontrivial bulk-band topology characterized by a non-vanishing topological invariant, and the manipulation of topological transport via chiral edge states promise topological…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Muhammad Nadeem , Xiaolin Wang

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

Higher-rank electric/magnetic multipole moments are attracting attention these days as candidate order parameters for exotic material phases. However, quantum-mechanical formulation of those multipole moments is still an ongoing issue. In…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Akito Daido , Atsuo Shitade , Youichi Yanase

The charged wave packets with non-Gaussian spatial profiles are shown to possess intrinsic multipole moments. The magnetic dipole moment and the electric quadrupole moment are found for a wide class of the packets, including the vortex…

Quantum Physics · Physics 2019-02-05 Dmitry Karlovets , Alexey Zhevlakov

For conventional topological phases, the boundary gapless modes are determined by bulk topological invariants. Based on developing an analytic method to solve higher-order boundary modes, we present $PT$-invariant $2$D topological…

Mesoscale and Nanoscale Physics · Physics 2020-09-17 Kai Wang , Jia-Xiao Dai , L. B. Shao , Shengyuan A. Yang , Y. X. Zhao
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