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Topological phases of fermions in one dimension
In this paper we show how the classification of topological phases in insulators and superconductors is changed by interactions, in the case of one-dimensional systems. We focus on the
The black hole singularity in AdS/CFT
We explore physics behind the horizon in eternal AdS Schwarzschild black holes. In dimension d > 3 , where the curvature grows large near the singularity, we find distinct but subtle signals of this
Effects of interactions on the topological classification of free fermion systems
We describe in detail a counterexample to the topological classification of free fermion systems. We deal with a one-dimensional chain of Majorana fermions with an unusual T symmetry. The topological
Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model
Three dimensional topological superconductors (TScs) protected by time reversal (T) symmetry are characterized by gapless Majorana cones on their surface. Free fermion phases with this symmetry
Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
One of the most promising proposals for engineering topological superconductivity and Majorana fermions employs a spin-orbit coupled nanowire subjected to a magnetic field and proximate to an s-wave
Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator
The surfaces of three dimensional topological insulators (3D TIs) are generally described as Dirac metals, with a single Dirac cone. It was previously believed that a gapped surface implied breaking
Superpotentials for Quiver Gauge Theories
We compute superpotentials for quiver gauge theories arising from marginal D-Brane decay on collapsed del Pezzo cycles S in a Calabi-Yau X. This is done using the machinery of A{sub {infinity}}
Entanglement spectrum of topological insulators and superconductors.
  • L. Fidkowski
  • Physics, Medicine
    Physical review letters
  • 14 September 2009
It is proved an exact relation between the ground state entanglement spectrum of such a system and the spectrum edge modes of the corresponding spectrally flattened Hamiltonian, and it is shown that gapless edge modes result in degeneracies of the entangled spectrum.
Model characterization of gapless edge modes of topological insulators using intermediate Brillouin-zone functions.
It is shown that the edge mode spectrum is a continuous deformation of the spectrum of a certain gluing function defining the occupied state bundle over the Brillouin zone, corresponding to nontrivial bundles.
Local Commuting Projector Hamiltonians and the Quantum Hall Effect
We prove that neither Integer nor Fractional Quantum Hall Effects with nonzero Hall conductivity are possible in gapped systems described by Local Commuting Projector Hamiltonians.