activity
19932023
most citedNon-Abelian Anyons and Topological Quantum Computation

7k citations · 12.1k across the 132 of their papers we have counts for

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49 papers · 1 filter

cond-mat.str-el2023★ 23 cited

Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene

Yves H. Kwan, Glenn Wagner, Nick Bultinck +3

Recent scanning tunneling microscopy experiments [K.P. Nuckolls et al., arXiv:2303.00024] have revealed the ubiquity of Kekulé charge-density wave order in magic-angle twisted bila…

cond-mat.str-el2022★ 5 cited

Excitations in the Higher Lattice Gauge Theory Model for Topological Phases II: The (2+1)-Dimensional Case

Joe Huxford, Steven H. Simon

In this work, the second paper of this series, we study the 2+1d version of a Hamiltonian model for topological phases based on higher lattice gauge theory. We construct the ribbon…

cond-mat.str-el2022★ 6 cited

Excitations in the Higher Lattice Gauge Theory Model for Topological Phases I: Overview

Joe Huxford, Steven H. Simon

In this series of papers, we study a Hamiltonian model for 3+1d topological phases, based on a generalisation of lattice gauge theory known as "higher lattice gauge theory". Higher…

cond-mat.str-el2021★ 42 cited

Skyrmions in twisted bilayer graphene: stability, pairing, and crystallization

Yves H. Kwan, Glenn Wagner, Nick Bultinck +2

We study the excitations that emerge upon doping the translationally-invariant correlated insulating states in magic angle twisted bilayer graphene at various integer filling facto…

cond-mat.str-el2021★ 93 cited

Global Phase Diagram of the Normal State of Twisted Bilayer Graphene

Glenn Wagner, Yves H. Kwan, Nick Bultinck +2

We investigate the full doping and strain-dependent phase diagram of the normal state of magic-angle twisted bilayer graphene (TBG). Using comprehensive Hartree-Fock calculations,…

cond-mat.str-el2021★ 8 cited

Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions

Greg J. Henderson, G J Sreejith, Steven H. Simon

We argue and numerically substantiate that the real-space entanglement spectrum (RSES) of composite fermion quantum Hall states is given by the spectrum of a local boundary perturb…

cond-mat.str-el2021★ 21 cited

-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with

Glenn Wagner, Dung X. Nguyen, Steven H. Simon +1

We introduce a new variational wavefunction for a quantum Hall bilayer at total filling , which is based on -wave BCS pairing between composite-fermion electrons in one la…

cond-mat.str-el2021★ 20 cited

Kekulé spiral order at all nonzero integer fillings in twisted bilayer graphene

Yves H. Kwan, Glenn Wagner, Tomohiro Soejima +4

We study magic angle graphene in the presence of both strain and particle-hole symmetry breaking due to non-local inter-layer tunneling. We perform a self-consistent Hartree-Fock s…

cond-mat.str-el2020★ 30 cited

Domain wall competition in the Chern insulating regime of twisted bilayer graphene

Yves H. Kwan, Glenn Wagner, Nilotpal Chakraborty +2

We consider magic-angle twisted bilayer graphene (TBG) at filling , where experiments have observed a robust quantized anomalous Hall effect. This has been attributed to the…

cond-mat.str-el2020★ 17 cited

Excitonic fractional quantum Hall hierarchy in Moiré heterostructures

Yves H. Kwan, Yichen Hu, Steven H. Simon +1

We consider fractional quantum Hall states in systems where two flat Chern number bands are labeled by an approximately conserved 'valley' index and interchanged by time…

cond-mat.str-el2020★ 65 cited

Exciton band topology in spontaneous quantum anomalous Hall insulators: applications to twisted bilayer graphene

Yves H. Kwan, Yichen Hu, Steven H. Simon +1

We uncover topological features of neutral particle-hole pair excitations of correlated quantum anomalous Hall (QAH) insulators whose approximately flat conduction and valence band…

cond-mat.str-el2019★ 8 cited

Driven quantum dot coupled to a fractional quantum Hall edge

Glenn Wagner, Dung X. Nguyen, Dmitry L. Kovrizhin +1

We study a model of a quantum dot coupled to a quantum Hall edge of the Laughlin state, taking into account short-range interactions between the dot and the edge. This system has b…

cond-mat.str-el2019★ 43 cited

Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder

Steven H. Simon, Bernd Rosenow

We consider electrical and thermal equilibration of the edge modes of the Anti-Pfaffian quantum Hall state at due to tunneling of the Majorana edge mode to trapped Majorana…

cond-mat.str-el2019★ 23 cited

Classical Dimers on Penrose Tilings

Felix Flicker, Steven H. Simon, S. A. Parameswaran

We study the classical dimer model on rhombic Penrose tilings, whose edges and vertices may be identified with those of a bipartite graph. We find that Penrose tilings do not admit…

cond-mat.str-el2019★ 187 cited

An ideal Weyl semimetal induced by magnetic exchange

J. -R. Soh, F. de Juan, M. G. Vergniory +15

Weyl semimetals exhibit exceptional quantum electronic transport due to the presence of topologically-protected band crossings called Weyl nodes. The nodes come in pairs with oppos…

cond-mat.str-el2019★ 8 cited

Finite temperature effects on Majorana bound states in chiral -wave superconductors

Henrik Schou Røising, Roni Ilan, Tobias Meng +2

We study Majorana fermions bound to vortex cores in a chiral -wave superconductor at temperatures non-negligible compared to the superconducting gap. Thermal occupation of Carol…

cond-mat.str-el2018★ 7 cited

Interaction effects and charge quantization in single-particle quantum dot emitters

Glenn Wagner, Dung X. Nguyen, Dmitry L. Kovrizhin +1

We discuss a theoretical model of an on-demand single-particle emitter that employs a quantum dot, attached to an integer or fractional quantum Hall edge state. Via an exact mappin…

cond-mat.str-el2018★ 18 cited

Effective Edge State Dynamics in the Fractional Quantum Hall Effect

Richard Fern, Roberto Bondesan, Steven H. Simon

We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum…

cond-mat.str-el2018★ 8 cited

On the Structure of Edge State Inner Products in the Fractional Quantum Hall Effect

Richard Fern, Roberto Bondesan, Steven H. Simon

We analyse the inner products of edge state wavefunctions in the fractional quantum Hall effect, specifically for the Laughlin and Moore-Read states. We use an effective descriptio…

cond-mat.str-el2017★ 14 cited

Size Constraints on Majorana Beamsplitter Interferometer: Majorana Coupling and Surface-Bulk Scattering

Henrik Schou Røising, Steven H. Simon

Topological insulator surfaces in proximity to superconductors have been proposed as a way to produce Majorana fermions in condensed matter physics. One of the simplest proposed ex…

cond-mat.str-el2017★ 6 cited

How SU(2) Anyons are Z Parafermions

Richard Fern, Johannes Kombe, Steven H. Simon

We consider the braid group representation which describes the non-abelian braiding statistics of the spin 1/2 particle world lines of an SU(2) Chern-Simons theory. Up to an ab…

cond-mat.str-el2016★ 11 cited

Feynman Path Integrals Over Entangled States

A. G. Green, C. A. Hooley, J. Keeling +1

The saddle points of a conventional Feynman path integral are not entangled, since they comprise a sequence of classical field configurations. We combine insights from field theory…

cond-mat.str-el2016★ 14 cited

Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid

Richard Fern, Steven H. Simon

We consider a Laughlin droplet in a confining potential which is very steep but also weak compared to the ultra-short ranged inter-particle interactions. We find that the eigenstat…

cond-mat.str-el2015★ 11 cited

Composite fermion model for entanglement spectrum of fractional quantum Hall states

Simon C. Davenport, Iván D. Rodríguez, J. K. Slingerland +1

We show that the entanglement spectrum associated with a certain class of strongly correlated many-body states --- the wave functions proposed by Laughlin and Jain to describe the…