952 citations · 3k across the 18 of their papers we have counts for
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Anomalous Quasiparticle Symmetries and Non-Abelian Defects on Symmetrically Gapped Surfaces of Weak Topological Insulators
David F. Mross, Andrew Essin, Jason Alicea +1
We show that boundaries of 3D weak topological insulators can become gapped by strong interactions while preserving all symmetries, leading to Abelian surface topological order. Th…
Composite Dirac liquids: parent states for symmetric surface topological order
David F. Mross, Andrew Essin, Jason Alicea
We introduce exotic gapless states---`composite Dirac liquids'---that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator. Composit…
Spectroscopic signatures of crystal momentum fractionalization
Andrew M. Essin, Michael Hermele
We consider gapped Z2 spin liquids, where spinon quasiparticles may carry fractional quantum numbers of space group symmetry. In particular, spinons can carry fractional crystal mo…
Z2 topological invariants in two dimensions from quantum Monte Carlo
Thomas C. Lang, Andrew M. Essin, Victor Gurarie +1
We employ quantum Monte Carlo techniques to calculate the topological invariant in a two-dimensional model of interacting electrons that exhibits a quantum spin Hall topologi…
Topological invariants for the fractional quantum Hall states
Victor Gurarie, Andrew M. Essin
We calculate a topological invariant, whose value would coincide with the Chern number in case of integer quantum Hall effect, for fractional quantum Hall states. In case of Abelia…
Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
Andrew M. Essin, Michael Hermele
We classify distinct types of quantum number fractionalization occurring in two-dimensional topologically ordered phases, focusing in particular on phases with Z2 topological order…
Topological invariants and interacting one-dimensional fermionic systems
Salvatore R. Manmana, Andrew M. Essin, Reinhard M. Noack +1
We study one-dimensional, interacting, gapped fermionic systems described by variants of the Peierls-Hubbard model and characterize their phases via a topological invariant constru…
Majorana spin liquids and projective realization of SU(2) spin symmetry
Gang Chen, Andrew Essin, Michael Hermele
We revisit the fermionic parton approach to S = 1/2 quantum spin liquids with SU(2) spin rotation symmetry, and the associated projective symmetry group (PSG) classification. We po…