Halfinteger quantum Hall effect of disordered Dirac fermions at a topological insulator surface
Abstract
The unconventional (halfinteger) quantum Hall effect for a single species of Dirac fermions is analyzed. We discuss possible experimental measurements of the halfinteger Hall conductance g_{x y} of topological insulator surface states and explain how to reconcile Laughlin's flux insertion argument with halfinteger g_{x y}. Using a vortex state representation of Landau level wave functions, we calculate current density beyond linear response, which is in particular relevant to the topological image monopole effect. As a major result, the field theory describing the localization physics of the quantum Hall effect of a single species of Dirac fermions is derived. In this connection, the issue of (absent) parity anomaly is revisited. The renormalization group (RG) flow and the resulting phase diagram are extensively discussed. Starting values of the RG flow are given by the semiclassical conductivity tensor which is obtained from the Boltzmann transport theory of the anomalous Hall effect.
 Publication:

Physical Review B
 Pub Date:
 October 2014
 DOI:
 10.1103/PhysRevB.90.165435
 arXiv:
 arXiv:1406.5008
 Bibcode:
 2014PhRvB..90p5435K
 Keywords:

 73.23.b;
 73.43.Nq;
 73.20.Fz;
 Electronic transport in mesoscopic systems;
 Quantum phase transitions;
 Weak or Anderson localization;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 Phys. Rev. B 90, 165435 (2014)