952 citations · 3k across the 18 of their papers we have counts for
18 papers
Approximating the Sachdev-Ye-Kitaev model with Majorana wires
Aaron Chew, Andrew Essin, Jason Alicea
The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a…
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…
Delocalization of boundary states in disordered topological insulators
A. Essin, V. Gurarie
We use the method of bulk-boundary correspondence of topological invariants to show that disordered topological insulators have at least one delocalized state at their boundary at…
Numerical detection of symmetry enriched topological phases with space group symmetry
Ling Wang, Andrew Essin, Michael Hermele +1
Topologically ordered phases of matter, in particular so-called symmetry enriched topological (SET) phases, can exhibit quantum number fractionalization in the presence of global s…
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…
Antiferromagnetic topological insulators in cold atomic gases
Andrew M. Essin, Victor Gurarie
We propose a spin-dependent optical lattice potential that realizes a three-dimensional antiferromagnetic topological insulator in a gas of cold, two-state fermions such as alkalin…
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…
Bulk-boundary correspondence of topological insulators from their Green's functions
Andrew M. Essin, Victor Gurarie
Topological insulators are noninteracting, gapped fermionic systems which have gapless boundary excitations. They are characterized by topological invariants, which can be written…
Antiferromagnetic topological insulators
Roger S. K. Mong, Andrew M. Essin, Joel E. Moore
We consider antiferromagnets breaking both time-reversal (Theta) and a primitive lattice translational symmetry (T) of a crystal but preserving the combination S = Theta T. The S s…
Orbital magnetoelectric coupling in band insulators
Andrew M. Essin, Ari M. Turner, Joel E. Moore +1
Magnetoelectric responses are a fundamental characteristic of materials that break time-reversal and inversion symmetries (notably multiferroics) and, remarkably, of "topological i…
Magnetic phase diagram of a spin-1 condensate in two dimensions with dipole interaction
Jonas A. Kjäll, Andrew M. Essin, Joel E. Moore
Several new features arise in the ground-state phase diagram of a spin-1 condensate trapped in an optical trap when the magnetic dipole interaction between the atoms is taken into…
Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
Andrew M. Essin, Joel E. Moore, David Vanderbilt
The orbital motion of electrons in a three-dimensional solid can generate a pseudoscalar magnetoelectric coupling , a fact we derive for the single-particle case using a recent…
Topological insulators beyond the Brillouin zone via Chern parity
Andrew M. Essin, J. E. Moore
The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulato…