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Crystalline topological insulators owe their topological character to the protection that certain boundary states acquire because of certain point-group symmetries. We first show that a Hermitian operator obeying supersymmetric quantum…

Strongly Correlated Electrons · Physics 2014-11-07 Po-Yao Chang , Christopher Mudry , Shinsei Ryu

Using a link between graph theory and the geometry hosting higher order topological matter, we fill part of the missing results in the engineering of domain walls supporting gapless states for systems with three vertical hinges. The…

Materials Science · Physics 2022-06-27 Lalla Btissam Drissi , El Hassan Saidi

We study the intrinsic fully-gapped odd-parity superconducting order in doped nodal-loop materials with a torus-shaped Fermi surface. We show that the mirror symmetry, which protects the nodal loop in the normal state, also protects the…

Strongly Correlated Electrons · Physics 2018-03-21 Hassan Shapourian , Yuxuan Wang , Shinsei Ryu

Symmetry and topology play key roles in the identification of phases of matter and their properties. Both concepts are central to understanding quantum Hall ferromagnets (QHFMs), two-dimensional electronic phases with spontaneously broken…

We theoretically study the three-dimensional topological semimetals with nodal surfaces protected by crystalline symmetries. Different from the well-known nodal-point and nodal-line semimetals, in these materials, the conduction and valence…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Weikang Wu , Ying Liu , Si Li , Chengyong Zhong , Zhi-Ming Yu , Xian-Lei Sheng , Y. X. Zhao , Shengyuan A. Yang

The topological properties of the bulk band structure of a three-dimensional topological insulator (TI) manifest themselves in the form of metallic surface states. In this paper, we propose a probe which directly couples to an exotic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Sthitadhi Roy , Kush Saha , Sourin Das

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

Topological nodal semimetals are known to host a variety of fascinating electronic properties due to the topological protection of the band-touching nodes. Neutron scattering, despite its power in probing elementary excitations, has not…

Topological Dirac and Weyl semimetals have an energy spectrum that hosts Weyl nodes appearing in pairs of opposite chirality. Topological stability is ensured when the nodes are separated in momentum space and unique spectral and transport…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 Adolfo G. Grushin , Jorn W. F. Venderbos , Ashvin Vishwanath , Roni Ilan

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

Recently discovered valley photonic crystals (VPCs) mimic many of the unusual properties of two-dimensional gapped valleytronic materials such as bilayer graphene or MoS2. Of the utmost interest to optical communications is their ability to…

Zak phase and topological protected edge state are usually studied in one-dimensional(1D) photonic systems with spatial inversion symmetry(SIS). Interestingly in this work, we find specific classes of 1D structure without SIS can be mapped…

Optics · Physics 2019-03-27 Qiucui Li , Yu Zhang , Xunya Jiang

Fully gapped two-dimensional superconductors coupled to dynamical electromagnetism are known to exhibit topological order. In this work, we develop a unified low-energy description for spin-singlet paired states by deriving topological…

Superconductivity · Physics 2017-01-17 Sergej Moroz , Abhinav Prem , Victor Gurarie , Leo Radzihovsky

By stacking PbTe layers there is a non-monotonic topological phase transition as a function of the number of monolayers. Based on first principles calculations we find that the proper stacked crystal symmetry determines the topological…

Mesoscale and Nanoscale Physics · Physics 2017-11-07 Daniely Bassanezi , Ernesto O. Wrasse , Tome M. Schmidt

Light-induced phase transitions offer a method to dynamically modulate topological states in bulk complex materials. Yet, next-generation devices demand nanoscale architectures with contact resistances near the quantum limit and precise…

An important aspect in categorizing topological phases is whether the system is spinless or spinful, given that these classes exhibit distinct symmetry algebras, leading to disparate topological classifications. By utilizing the projective…

Quantum Gases · Physics 2026-01-21 Xiaofan Zhou , Suotang Jia , Jian-Song Pan

Many conductors, including recently studied Dirac materials, show saturation of coherence length on decreasing temperature. This surprising phenomenon is assigned to external noise, residual magnetic impurities or two-level systems specific…

Topology is a powerful tool for categorizing magnetization textures by defining a topological index in both two-dimensional (2D) systems, such as thin films or curved surfaces, and in 3D bulk systems. In the emerging field of 3D…

First-principles calculations are performed to study the electronic structures and topological phases of magnetic layered materials MnBi2Te4, MnBi2Se4 and MnSb2Te4 under different film thicknesses, strains and spin-orbit coupling (SOC)…

Computational Physics · Physics 2021-04-14 Ping Li , Jiangying Yu , Ying Wang , Weidong Luo