A fuzzy-sphere exact diagonalization study shows the fIQH to bFQH transition is continuous, with emergent conformal symmetry and a single relevant singlet of scaling dimension Delta_S = 1.52(18).
Dual Dirac liquid on the surface of the electron topological insulator
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abstract
We discuss a non-fermi liquid gapless metallic surface state of the topological band insulator. It has an odd number of gapless Dirac fermions coupled to a non-compact U(1) gauge field. This can be viewed as a vortex dual to the conventional Dirac fermion surface state. This surface duality is a reflection of a bulk dual description discussed recently for the gauged topological insulator. All the other known surface states can be conveniently accessed from the dual Dirac liquid, including the surface quantum hall state, the Fu-Kane superconductor, the gapped symmetric topological order and the "composite Dirac liquid". We also discuss the physical properties of the dual Dirac liquid, and its connection to the half-filled Landau level.
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Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid
A fuzzy-sphere exact diagonalization study shows the fIQH to bFQH transition is continuous, with emergent conformal symmetry and a single relevant singlet of scaling dimension Delta_S = 1.52(18).