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20082023
most citedClassification of topological quantum matter with symmetries

2.9k citations

Showing 2018 · cond-mat.str-elShow all

25 papers · 2 filters

cond-mat.str-el2018★ 4 cited

Corner Modes and Ground-State Degeneracy in Models with Gauge-Like Subsystem Symmetries

Julian May-Mann, Taylor L. Hughes

Subsystem symmetries are intermediate between global and gauge symmetries. One can treat these symmetries either like global symmetries that act on subregions of a system, or gauge…

cond-mat.str-el2018★ 145 cited

Many-Body Electric Multipole Operators in Extended Systems

William A. Wheeler, Lucas K. Wagner, Taylor L. Hughes

The quantum mechanical position operators, and their products, are not well-defined in systems obeying periodic boundary conditions. Here we extend the work of Resta who developed…

cond-mat.str-el2018★ 15 cited

Pair-Density-Wave Order and Paired Fractional Quantum Hall Fluids

Luiz H. Santos, Yuxuan Wang, Eduardo Fradkin

The properties of the isotropic incompressible fractional quantum Hall (FQH) state are described by a paired state of composite fermions in zero (effective) magnetic field,…

cond-mat.str-el2018★ 14 cited

Families of Gapped Interfaces Between Fractional Quantum Hall States

Julian May-Mann, Taylor L. Hughes

Some interfaces between two different topologically ordered systems can be gapped. In earlier work it has been shown that such gapped interfaces can themselves be effective one dim…

cond-mat.str-el2018★ 33 cited

Disorder induced power-law gaps in an insulator-metal Mott transition

Zhenyu Wang, Yoshinori Okada, Jared O'Neal +11

A correlated material in the vicinity of an insulator-metal transition (IMT) exhibits rich phenomenology and variety of interesting phases. A common avenue to induce IMTs in Mott i…

cond-mat.str-el2018★ 54 cited

Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene

Bikash Padhi, Philip Phillips

Recent experiments [arXiv: 1808.07865] on twisted bilayer graphene (TBLG) show that under hydrostatic pressure, an insulating state at quarter-filling of the moiré superlattice (i.…

cond-mat.str-el2018★ 15 cited

Geometric quench in the fractional quantum Hall effect: exact solution in quantum Hall matrix models and comparison with bimetric theory

Matthew F. Lapa, Andrey Gromov, Taylor L. Hughes

We investigate the recently introduced geometric quench protocol for fractional quantum Hall (FQH) states within the framework of exactly solvable quantum Hall matrix models. In th…

cond-mat.str-el2018★ 784 cited

Quantization of fractional corner charge in -symmetric higher-order topological crystalline insulators

Wladimir A. Benalcazar, Tianhe Li, Taylor L. Hughes

In the presence of crystalline symmetries, certain topological insulators present a filling anomaly: a mismatch between the number of electrons in an energy band and the number of…

cond-mat.str-el2018★ 21 cited

Resonating quantum three-coloring wavefunctions for the kagome quantum antiferromagnet

Hitesh J. Changlani, Sumiran Pujari, Chia-Min Chung +1

Motivated by the recent discovery of a macroscopically degenerate exactly solvable point of the spin- model for on the kagome lattice [H. J. Changlani et al…

cond-mat.str-el2018★ 29 cited

Dirac Composite Fermions and Emergent Reflection Symmetry about Even Denominator Filling Fractions

Hart Goldman, Eduardo Fradkin

Motivated by the appearance of a `reflection symmetry' in transport experiments and the absence of statistical periodicity in relativistic quantum field theories, we propose a seri…

cond-mat.str-el2018★ 21 cited

Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state

P. Roura-Bas, Liliana. Arrachea, Eduardo Fradkin

We study the thermoelectric response of a device containing a pair of helical edge states contacted at the same temperature and chemical potential and connected to an exter…

cond-mat.str-el2018★ 39 cited

Generalized Wen-Zee Terms

Bo Han, Huajia Wang, Peng Ye

Motivated by symmetry-protected topological phases (SPTs) with both spatial symmetry (e.g., lattice rotation) and internal symmetry (e.g., spin rotation), we propose a class of exo…

cond-mat.str-el2018★ 47 cited

Higher Order Bosonic Topological Phases in Spin Models

Oleg Dubinkin, Taylor L. Hughes

We discuss an extension of higher order topological phases to include bosonic systems. We present two spin models for a second-order topological phase protected by a global $\mathb…

cond-mat.str-el2018★ 8 cited

Classical phase diagram of the stuffed honeycomb lattice

Jyotisman Sahoo, Dmitrii Kochkov, Bryan K. Clark +1

We investigate the classical phase diagram of the stuffed honeycomb Heisenberg lattice, which consists of a honeycomb lattice with a superimposed triangular lattice formed by sites…

cond-mat.str-el2018★ 11 cited

Bosonization of Fermi liquids in a weak magnetic field

Daniel G. Barci, Eduardo Fradkin, Leonardo Ribeiro

Novel controlled non-perturbative techniques are a must in the study of strongly correlated systems, especially near quantum criticality. One of these techniques, bosonization, has…

cond-mat.str-el2018★ 9 cited

Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model

Matthew F. Lapa, Carl Turner, Taylor L. Hughes +1

Quantum Hall matrix models are simple, solvable quantum mechanical systems which capture the physics of certain fractional quantum Hall states. Recently, it was shown that the Hall…

cond-mat.str-el2018★ 2 cited

Scale-invariance as the cause of the superconducting dome in the cuprates

Zhidong Leong, Kridsanaphong Limtragool, Chandan Setty +1

Recent photoemission spectroscopy measurements (T. J. Reber et al., arXiv:1509.01611) of cuprate superconductors have inferred that the self-energy exhibits critical scaling over a…

cond-mat.str-el2018★ 175 cited

Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization not Mott Insulation

Bikash Padhi, Chandan Setty, Philip W. Phillips

We devise a model to explain why twisted bi-layer graphene (TBLG) exhibits insulating behavior when charges occupy a unit moiré cell, a feature attributed to Mottness, but…

cond-mat.str-el2018★ 30 cited

Symmetry-Protected Topological Interfaces and Entanglement Sequences

Luiz H. Santos, Jennifer Cano, Michael Mulligan +1

Gapped interfaces (and boundaries) of two-dimensional (2D) Abelian topological phases are shown to support a remarkably rich sequence of 1D symmetry-protected topological (SPT) sta…

cond-mat.str-el2018★ 58 cited

From gauge to higher gauge models of topological phases

Clement Delcamp, Apoorv Tiwari

We consider exactly solvable models in (3+1)d whose ground states are described by topological lattice gauge theories. Using simplicial arguments, we emphasize how the consistency…

cond-mat.str-el2018★ 14 cited

Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states

Matthew F. Lapa, Taylor L. Hughes

We study geometric aspects of the Laughlin fractional quantum Hall (FQH) states using a description of these states in terms of a matrix quantum mechanics model known as the Chern-…

cond-mat.str-el2018★ 7 cited

Boson-fermion duality in a gravitational background

Yago Ferreiros, Eduardo Fradkin

We study the dimensional boson-fermion duality in the presence of background curvature and electromagnetic fields. The main players are, on the one hand, a massive complex $|…

cond-mat.str-el2018★ 90 cited

Computational inverse method for constructing spaces of quantum models from wave functions

Eli Chertkov, Bryan K. Clark

Traditional computational methods for studying quantum many-body systems are "forward methods," which take quantum models, i.e., Hamiltonians, as input and produce ground states as…

cond-mat.str-el2018★ 24 cited

Loop Models, Modular Invariance, and Three Dimensional Bosonization

Hart Goldman, Eduardo Fradkin

We consider a family of quantum loop models in 2+1 spacetime dimensions with marginally long-ranged and statistical interactions mediated by a U gauge field, both purely in 2+…