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20082023
most citedClassification of topological quantum matter with symmetries

2.9k citations

Showing 2016Show all

34 papers · 1 filter

physics.class-ph2016★ 23 cited

Saturn rings: fractal structure and random field model

Anatoliy Malyarenko, Martin Ostoja-Starzewski

This study is motivated by the observation, based on photographs from the Cassini mission, that Saturn's rings have a fractal structure in radial direction. Accordingly, two questi…

cond-mat.str-el2016★ 5 cited

Holographic Dynamics from Multiscale Entanglement Renormalization Ansatz

Victor Chua, Vasilios Passias, Apoorv Tiwari +1

The Multiscale Entanglement Renormalization Ansatz (MERA) is a tensor network based variational ansatz that is capable of capturing many of the key physical properties of strongly…

cond-mat.str-el2016★ 2k cited

Quantized Electric Multipole Insulators

Wladimir A. Benalcazar, B. Andrei Bernevig, Taylor L. Hughes

In this article we extend the celebrated Berry-phase formulation of electric polarization in crystals to higher electric multipole moments. We determine the necessary conditions un…

cond-mat.str-el2016★ 31 cited

Two-cylinder entanglement entropy under a twist

Xiao Chen, William Witczak-Krempa, Thomas Faulkner +1

We study the von Neumann and Rényi entanglement entropy (EE) of scale-invariant theories defined on tori in 2+1 and 3+1 spacetime dimensions. We focus on spatial bi-partitions of t…

cond-mat.str-el2016★ 3 cited

Violation of f-sum Rule with Generalized Kinetic Energy

Kridsanaphong Limtragool, Philip W. Phillips

Motivated by the normal state of the cuprates in which the f-sum rule increases faster than a linear function of the particle density, we derive a conductivity sum rule for a syste…

cond-mat.dis-nn2016★ 308 cited

The Ergodic Side of the Many-Body Localization Transition

David J. Luitz, Yevgeny Bar Lev

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many-body localization (MBL), which shows subexponential relaxation of local observables, subd…

cond-mat.str-el2016★ 19 cited

Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids

Peng Ye

Topological spin liquids can be described by topological gauge theories with global symmetry. Due to the presence of both nontrivial bulk deconfined gauge fluxes and global symmetr…

cond-mat.stat-mech2016★ 85 cited

Disorder Operators and their Descendants

Eduardo Fradkin

I review the concept of a {\em disorder operator}, introduced originally by Kadanoff in the context of the two-dimensional Ising model. Disorder operators acquire an expectation va…

cond-mat.str-el2016★ 171 cited

Out-of-time-order correlations in many-body localized and thermal phases

Xiao Chen, Tianci Zhou, David A. Huse +1

We use the out-of-time-order (OTO) correlators to study the slow dynamics in the many-body localized (MBL) phase. We investigate OTO correlators in the effective ("l-bit") model of…

cond-mat.str-el2016★ 25 cited

Parafermionic wires at the interface of chiral topological states

Luiz H. Santos, Taylor L. Hughes

We explore a scenario where local interactions form one-dimensional gapped interfaces between a pair of distinct chiral two-dimensional topological states - referred to as phases 1…

cond-mat.mes-hall2016★ 8 cited

Electromagnetic Response of Three-dimensional Topological Crystalline Insulators

Srinidhi T. Ramamurthy, Yuxuan Wang, Taylor L. Hughes

Topological crystalline insulators (TCI) are a new class of materials which have metallic surface states on select surfaces due to point group crystalline symmetries. In this lette…

hep-th2016★ 1 cited

Chiral kinetic theory and anomalous hydrodynamics in even spacetime dimensions

Vatsal Dwivedi, Michael Stone

We study the hydrodynamics of a gas of noninteracting Weyl fermions coupled to the electromagnetic field in spacetime dimensions using the chiral kinetic theory, whi…

cond-mat.str-el2016★ 16 cited

Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at magnetization

Krishna Kumar, Hitesh J. Changlani, Bryan K. Clark +1

We perform an exact diagonalization study of the spin- XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization with an emphasis on the X…

cond-mat.str-el2016★ 88 cited

Bimodal entanglement entropy distribution in the many-body localization transition

Xiongjie Yu, David J. Luitz, Bryan K. Clark

We introduce the cut averaged entanglement entropy in disordered periodic spin chains and prove it to be a concave function of subsystem size for individual eigenstates. This allow…

cond-mat.str-el2016★ 66 cited

Topological entanglement negativity in Chern-Simons theories

Xueda Wen, Po-Yao Chang, Shinsei Ryu

We study the topological entanglement negativity between two spatial regions in (2+1)-dimensional Chern-Simons gauge theories by using the replica trick and the surgery method. For…

cond-mat.supr-con2016★ 82 cited

Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency

Yuxuan Wang, Artem G. Abanov, Boris L. Altshuler +2

Near a quantum-critical point in a metal strong fermion-fermion interaction mediated by a soft collective boson gives rise to incoherent, non-Fermi liquid behavior. It also often g…

cond-mat.supr-con2016

Properties of the zero energy Andreev bound state in a two sublattice SNS junction

Chandan Setty, Jiangping Hu

We study properties of the zero energy Andreev bound state in a superconductor-normal metal-superconductor(SNS) junction consisting of two intrinsic degrees of freedom. The superco…

cond-mat.mes-hall2016★ 28 cited

Holographic Entanglement Renormalization of Topological Insulators

Xueda Wen, Gil Young Cho, Pedro L. S. Lopes +3

We study the real-space entanglement renormalization group flows of topological band insulators in (2+1) dimensions by using the continuum multi-scale entanglement renormalization…

cond-mat.mes-hall2016★ 45 cited

Holographic duality between -d quantum anomalous Hall state and -d topological insulators

Yingfei Gu, Ching Hua Lee, Xueda Wen +3

In this paper, we study -dimensional quantum anomalous Hall states, i.e. band insulators with quantized Hall conductance, using the exact holographic mapping. The exact holo…

cond-mat.str-el2016★ 83 cited

Evolution operators in conformal field theories and conformal mappings: the entanglement Hamiltonian, the sine-square deformation, and others

Xueda Wen, Shinsei Ryu, Andreas W. W. Ludwig

By making use of conformal mapping, we construct various time-evolution operators in (1+1) dimensional conformal field theories (CFTs), which take the form $\int dx\, f(x) \mathcal…

cond-mat.str-el2016★ 30 cited

Topological density-wave states in a particle-hole symmetric Weyl metal

Yuxuan Wang, Peng Ye

We study the instabilities of a particle-hole symmetric Weyl metal with both electron and hole Fermi surfaces (FS) around the Weyl points. For a repulsive interaction, we find that…

cond-mat.quant-gas2016★ 12 cited

Modified spin-wave theory and spin liquid behavior of cold bosons on an inhomogeneous triangular lattice

Alessio Celi, Tobias Grass, Andrew J. Ferris +5

Ultracold bosons in a triangular lattice are a promising candidate for observing quantum spin liquid behavior. Here we investigate, for such system, the role of a harmonic trap giv…

hep-th2016★ 43 cited

Wilson operator algebras and ground states for coupled BF theories

Apoorv Tiwari, Xiao Chen, Shinsei Ryu

The multi-flavor theories in (3+1) dimensions with cubic or quartic coupling are the simplest topological quantum field theories that can describe fractional braiding statisti…

cond-mat.str-el2016★ 9 cited

Fermion Parity Flips and Majorana Bound States at twist defects in Superconducting Fractional Topological Phases

Mayukh Nilay Khan, Jeffrey C. Y. Teo, Taylor L. Hughes +1

In this paper we consider a layered heterostructure of an Abelian topologically ordered state (TO), such as a fractional Chern insulator/quantum Hall state with an s-wave supercond…