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20082023
most citedClassification of topological quantum matter with symmetries

2.9k citations

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cond-mat.mes-hall2022★ 6 cited

Scattering theory of delicate topological insulators

Penghao Zhu, Jiho Noh, Yingkai Liu +1

We study the scattering theory of delicate topological insulators (TIs), which are novel topological phases beyond the paradigm of the tenfold way, topological quantum chemistry, a…

cond-mat.mes-hall2022★ 19 cited

Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump

Penghao Zhu, A. Alexandradinata, Taylor L. Hughes

We introduce a time-reversal-symmetric analog of the Hopf insulator that we call a spin Hopf insulator. The spin Hopf insulator harbors nontrivial Kane-Mele invariants on it…

cond-mat.mes-hall2022★ 64 cited

Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit

Penghao Zhu, Xiao-Qi Sun, Taylor L. Hughes +1

While chirality imbalances are forbidden in conventional lattice systems, non-Hermiticity can effectively avoid the chiral-doubling theorem to facilitate 1D chiral dynamics. Indeed…

cond-mat.mes-hall2022★ 59 cited

Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators

Kuan-Sen Lin, Giandomenico Palumbo, Zhaopeng Guo +8

Symmetry-protected topological crystalline insulators (TCIs) have primarily been characterized by their gapless boundary states. However, in time-reversal- (-) invaria…

cond-mat.mes-hall2022★ 14 cited

Spin-momentum locking from topological quantum chemistry: applications to multifold fermions

Mao Lin, Iñigo Robredo, Niels B. M. Schröter +3

In spin-orbit coupled crystals, symmetries can protect multifold degeneracies with large Chern numbers and Brillouin zone spanning topological surface states. In this work, we expl…

cond-mat.mes-hall2021★ 10 cited

Resolving Hall and dissipative viscosity ambiguities via boundary effects

Pranav Rao, Barry Bradlyn

We examine the physical implications of the viscous redundancy of two-dimensional anisotropic fluids, where different components of the viscosity tensor lead to identical effects i…

cond-mat.mes-hall2021★ 22 cited

Lecture Notes on Berry Phases and Topology

Barry Bradlyn, Mikel Iraola

In these notes, we review the role of Berry phases and topology in noninteracting electron systems. Topics including the adiabatic theorem, parallel transport, and Wannier function…

cond-mat.mes-hall2021★ 30 cited

An accurate tight binding model for twisted bilayer graphene describes topological flat bands without geometric relaxation

Shivesh Pathak, Tawfiqur Rakib, Run Hou +4

A major hurdle in understanding the phase diagram of twisted bilayer graphene (TBLG) are the roles of lattice relaxation and electronic structure on isolated band flattening near m…

cond-mat.mes-hall2021★ 22 cited

Large extrinsic phonon thermal Hall effect from resonant scattering

Xiao-Qi Sun, Jing-Yuan Chen, Steven A. Kivelson

Recent experimental observations of unexpectedly large thermal Hall conductivities, , in insulating materials, including the parent compounds of the high temperature supercond…

cond-mat.mes-hall2021★ 26 cited

Topology invisible to eigenvalues in obstructed atomic insulators

Jennifer Cano, L. Elcoro, M. I. Aroyo +2

We consider the extent to which symmetry eigenvalues reveal the topological character of bands. Specifically, we compare distinct atomic limit phases (band representations) that sh…

cond-mat.mes-hall2021★ 37 cited

Cubic 3D Chern photonic insulators with orientable large Chern vectors

Chiara Devescovi, Mikel García-Díez, Iñigo Robredo +5

Time Reversal Symmetry (TRS) broken topological phases provide gapless surface states protected by topology, regardless of additional internal symmetries, spin or valley degrees of…

cond-mat.mes-hall2021★ 54 cited

Bound states at partial dislocation defects in multipole higher-order topological insulators

Sasha S. Yamada, Tianhe Li, Mao Lin +3

The bulk-boundary correspondence, which links a bulk topological property of a material to the existence of robust boundary states, is a hallmark of topological insulators. However…

cond-mat.mes-hall2021★ 5 cited

Torsion, energy magnetization and thermal Hall effect

Ze-Min Huang, Bo Han, Xiao-Qi Sun

We study the effective action of hydrostatic response to torsion in the absence of spin connections in gapped -dimensional topological phases. In previous studies…

cond-mat.mes-hall2021★ 99 cited

Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems

Xiao-Qi Sun, Penghao Zhu, Taylor L. Hughes

We study the geometric response of three-dimensional non-Hermitian crystalline systems with nontrivial point-gap topology. For systems with fourfold rotation symmetry, we show that…

cond-mat.mes-hall2021★ 14 cited

Cubic Hall viscosity in three-dimensional topological semimetals

Iñigo Robredo, Pranav Rao, Fernando de Juan +5

The nondissipative (Hall) viscosity is known to play an interesting role in two-dimensional (2D) topological states of matter, in the hydrodynamic regime of correlated materials, a…

cond-mat.mes-hall2020★ 7 cited

Simulating Higher-Order Topological Insulators in Density Wave Insulators

Kuan-Sen Lin, Barry Bradlyn

Since the discovery of the Harper-Hofstadter model, it has been known that condensed matter systems with periodic modulations can be promoted to non-trivial topological states with…

cond-mat.mes-hall2020★ 288 cited

Magnetic Topological Quantum Chemistry

Luis Elcoro, Benjamin J. Wieder, Zhida Song +3

For over 100 years, the group-theoretic characterization of crystalline solids has provided the foundational language for diverse problems in physics and chemistry. However, the gr…

cond-mat.mes-hall2020★ 17 cited

Quantized surface magnetism and higher-order topology: Application to the Hopf insulator

Penghao Zhu, Taylor L. Hughes, A. Alexandradinata

We identify topological aspects of the subextensive magnetic moment contributed by the surfaces of a three-dimensional crystallite -- assumed to be insulating in the bulk as well a…

cond-mat.mes-hall2020★ 78 cited

On the robustness of topological corner modes in photonic crystals

Matthew Proctor, Paloma Arroyo Huidobro, Barry Bradlyn +4

We analyze the robustness of corner modes in topological photonic crystals, taking a -symmetric breathing honeycomb photonic crystal as an example. First, we employ topologica…

cond-mat.mes-hall2020★ 169 cited

Higher-order Weyl Semimetals

Sayed Ali Akbar Ghorashi, Tianhe Li, Taylor L. Hughes

We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached to both surface and hinge Fermi arcs. We identify a new type of Weyl node, that we dub a …

cond-mat.mes-hall2020★ 124 cited

Band Representations and Topological Quantum Chemistry

Jennifer Cano, Barry Bradlyn

In this article, we provide a pedagogical review of the theory of topological quantum chemistry and topological crystalline insulators. We begin with an overview of the properties…

cond-mat.mes-hall2020★ 37 cited

Axionic Band Topology in Inversion-Symmetric Weyl-Charge-Density Waves

Benjamin J. Wieder, Kuan-Sen Lin, Barry Bradlyn

In recent theoretical and experimental investigations, researchers have linked the low-energy field theory of a Weyl semimetal gapped with a charge-density wave (CDW) to high-energ…

cond-mat.mes-hall2020★ 224 cited

A fractional corner anomaly reveals higher-order topology

Christopher W. Peterson, Tianhe Li, Wladimir A. Benalcazar +2

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-ord…

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…