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20082023
most citedClassification of topological quantum matter with symmetries

2.9k citations

Showing 2019 · cond-mat.mes-hallShow all

13 papers · 2 filters

cond-mat.mes-hall2019★ 115 cited

Tutorial: Computing topological invariants in two-dimensional photonic crystals

María Blanco de Paz, Chiara Devescovi, Geza Giedke +5

The field of topological photonics emerged as one of the most promising areas for applications in transformative technologies: possible applications are in topological lasers or qu…

cond-mat.mes-hall2019★ 52 cited

Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy

Pranav Rao, Barry Bradlyn

Inspired by recent experiments on graphene, we examine the non-dissipative viscoelastic response of anisotropic two-dimensional quantum systems. We pay particular attention to elec…

cond-mat.mes-hall2019★ 20 cited

Identifying Higher Order Topology and Fractional Corner Charge Using Entanglement Spectra

Penghao Zhu, Kieran Loehr, Taylor L. Hughes

We study the entanglement spectrum (ES) of two-dimensional -symmetric second-order topological insulators (TIs). We show that some characteristic higher order topological ob…

cond-mat.mes-hall2019★ 219 cited

Strong and Fragile Topological Dirac Semimetals with Higher-Order Fermi Arcs

Benjamin J. Wieder, Zhijun Wang, Jennifer Cano +4

Dirac and Weyl semimetals both exhibit arc-like surface states. However, whereas the surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points themselve…

cond-mat.mes-hall2019★ 144 cited

Boundary-obstructed topological phases

Eslam Khalaf, Wladimir A. Benalcazar, Taylor L. Hughes +1

Symmetry protected topological (SPT) phases are gapped phases of matter that cannot be deformed to a trivial phase without breaking the symmetry or closing the bulk gap. Here, we i…

cond-mat.mes-hall2019★ 153 cited

Observation and control of maximal Chern numbers in a chiral topological semimetal

Niels B. M. Schröter, Samuel Stolz, Kaustuv Manna +13

Topological semimetals feature protected nodal band degeneracies characterized by a topological invariant known as the Chern number (C). Nodal band crossings with linear dispersion…

cond-mat.mes-hall2019★ 247 cited

Evidence for an axionic charge density wave in the Weyl semimetal (TaSe4)2I

Johannes Gooth, Barry Bradlyn, Shashank Honnali +9

An axion insulator is a correlated topological phase, predicted to arise from the formation of a charge density wave in a Weyl semimetal. The accompanying sliding mode in the charg…

cond-mat.mes-hall2019★ 167 cited

Fractional disclination charge in two-dimensional symmetric topological crystalline insulators

Tianhe Li, Penghao Zhu, Wladimir A. Benalcazar +1

Robust fractional charge localized at disclination defects has been recently found as a topological response in symmetric 2D topological crystalline insulators (TCIs). In t…

cond-mat.mes-hall2019★ 7 cited

Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level

Varsha Subramanyan, Smitha Vishveshwara

In this article, we present a systematic study of quantum statistics and dynamics of a pair of anyons in the lowerst Landau level (LLL), of direct relevance to quasiparticle excita…

cond-mat.mes-hall2019★ 73 cited

Multifold nodal points in magnetic materials

Jennifer Cano, Barry Bradlyn, M. G. Vergniory

We describe the symmetry protected nodal points that can exist in magnetic space groups and show that only 3-, 6-, and 8-fold degeneracies are possible (in addition to the 2- and 4…

cond-mat.mes-hall2019★ 45 cited

Strong nonreciprocity in modulated resonator chains through synthetic electric and magnetic fields

Christopher W. Peterson, Wladimir A. Benalcazar, Mao Lin +2

We study nonreciprocity in spatiotemporally modulated 1D resonator chains from the perspective of equivalent 2D resonator arrays with a synthetic dimension and transverse synthetic…

cond-mat.mes-hall2019★ 91 cited

Engineering Fragile Topology in Photonic Crystals: Topological Quantum Chemistry of Light

María Blanco de Paz, Maia G. Vergniory, Dario Bercioux +2

In recent years, there have been rapid advances in the parallel fields of electronic and photonic topological crystals. Topological photonic crystals in particular show promise for…

cond-mat.mes-hall2019★ 113 cited

Second-order Dirac superconductors and magnetic field induced Majorana hinge modes

Sayed Ali Akbar Ghorashi, Xiang Hu, Taylor L. Hughes +1

We identify three-dimensional higher-order superconductors characterized by the coexistence of one-dimensional Majorana hinge states and gapless surface sates. We show how such sup…