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20082023
most citedClassification of topological quantum matter with symmetries

2.9k citations

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38 papers · 1 filter

cond-mat.str-el2019★ 51 cited

Probabilistic Simulation of Quantum Circuits with the Transformer

Juan Carrasquilla, Di Luo, Felipe Pérez +4

The fundamental question of how to best simulate quantum systems using conventional computational resources lies at the forefront of condensed matter and quantum computation. It im…

cond-mat.str-el2019★ 11 cited

Non-local order parameters for states with topological electromagnetic response

Thomas Klein Kvorning, Christian Spånslätt, AtMa P. O. Chan +1

Chern insulators are states of matter characterized by a quantized Hall conductance, gapless edge modes but also a singular response to monopole configurations of an external elect…

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…

quant-ph2019★ 50 cited

Framework for simulating gauge theories with dipolar spin systems

Di Luo, Jiayu Shen, Michael Highman +4

Gauge theories appear broadly in physics, ranging from the standard model of particle physics to long-wavelength descriptions of topological systems in condensed matter. However, s…

hep-th2019★ 1 cited

Second-order Lovelock Gravity from Entanglement in Conformal Field Theories

Cunwei Fan, Gabriele La Nave, Philip W. Phillips

Holographic entanglement entropy and the first law of thermodynamics are believed to decode the gravity theory in the bulk. In particular, assuming the Ryu-Takayanagi (RT)\cite{ryu…

cond-mat.supr-con2019★ 98 cited

Exact Superconducting Instability in a Doped Mott Insulator

Philip W. Phillips, Luke Yeo, Edwin W. Huang

Because the cuprate superconductors are doped Mott insulators, it would be advantageous to solve even a toy model that exhibits both Mottness and superconductivity. We consider the…

cond-mat.str-el2019★ 14 cited

Twisted Kitaev Bilayers and the Moiré Ising Model

Julian May-Mann, Taylor L. Hughes

In recent years, there have been numerous examples of twisted bilayer systems that host remarkable physical properties that are not found in their untwisted counterparts. Motivated…

cond-mat.str-el2019★ 8 cited

Engineering Topological Models with a General-Purpose Symmetry-to-Hamiltonian Approach

Eli Chertkov, Benjamin Villalonga, Bryan K. Clark

Symmetry is at the heart of modern physics. Phases of matter are classified by symmetry breaking, topological phases are characterized by non-local symmetries, and point group symm…

cond-mat.dis-nn2019★ 24 cited

Disorder driven phase transitions in weak AIII topological insulators

Jahan Claes, Taylor Hughes

The tenfold classification of topological phases enumerates all strong topological phases for both clean and disordered systems. These strong topological phases are connected to th…

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.str-el2019★ 2 cited

Temperature dependence of quantum oscillations from non-parabolic dispersions

Chunyu Guo, A. Alexandradinata, Carsten Putzke +16

The phase offset of quantum oscillations is commonly used to experimentally diagnose topologically non-trivial Fermi surfaces. This methodology, however, is inconclusive for spin-o…

cond-mat.str-el2019★ 14 cited

Collusion of Interactions and Disorder at the Superfluid-Insulator Transition: A Dirty 2d Quantum Critical Point

Hart Goldman, Alex Thomson, Laimei Nie +1

We study the stability of the Wilson-Fisher fixed point of the quantum vector model to quenched disorder in the large- limit. While a random mass is strongly re…

cond-mat.str-el2019★ 16 cited

Theory of Dipole Insulators

Oleg Dubinkin, Julian May-Mann, Taylor L. Hughes

Insulating systems are characterized by their insensitivity to twisted boundary conditions as quantified by the charge stiffness and charge localization length. The latter quantity…

cond-mat.str-el2019★ 80 cited

Multipolar Topological Field Theories: Bridging Higher Order Topological Insulators and Fractons

Yizhi You, F. J. Burnell, Taylor L. Hughes

Two new recently proposed classes of topological phases, namely fractons and higher order topological insulators (HOTIs), share at least superficial similarities. The wide variety…

cond-mat.supr-con2019★ 60 cited

Vortex and Surface Phase Transitions in Superconducting Higher-order Topological Insulators

Sayed Ali Akbar Ghorashi, Taylor L. Hughes, Enrico Rossi

Topological insulators (TIs) having intrinsic or proximity-coupled s-wave superconductivity host Majorana zero modes (MZMs) at the ends of vortex lines. The MZMs survive up to a cr…

cond-mat.str-el2019★ 17 cited

Emergence of Quasiparticles in a Doped Mott Insulator

Yao Wang, Yu He, Krzysztof Wohlfeld +9

How a Mott insulator develops into a weakly coupled metal upon doping is a central question to understanding various emergent correlated phenomena. To analyze this evolution and it…

cond-mat.str-el2019★ 62 cited

Crystallographic splitting theorem for band representations and fragile topological photonic crystals

A. Alexandradinata, J. Höller, Chong Wang +2

The fundamental building blocks in band theory are band representations (BRs): bands whose infinitely-numbered Wannier functions are generated (by action of a space group) from a f…

cond-mat.dis-nn2019★ 13 cited

Classification of symmetry-protected topological phases in two-dimensional many body-localized systems

Joey Li, Amos Chan, Thorsten B. Wahl

We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-…

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…

hep-th2019★ 14 cited

Classification of Non-local Actions: Area versus Volume Entanglement Entropy

Bora Basa, Gabriele La Nave, Philip W. Phillips

From the partition function for two classes of classically non-local actions containing the fractional Laplacian, we show that as long as there exists a suitable (non-local) Hilber…

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.str-el2019★ 28 cited

Mitigating the Sign Problem Through Basis Rotations

Ryan Levy, Bryan K. Clark

Quantum Monte Carlo simulations of quantum many body systems are plagued by the Fermion sign problem. The computational complexity of simulating Fermions scales exponentially in th…