Breakdown of Landau-Ginzburg-Wilson Scheme for Phase Transitions Between Orbital-Current Phases and Zero-gap Semiconductors

Details Breakdown of Landau-Ginzburg-Wilson Scheme for Phase Transitions Between Orbital-Current Phases and Zero-gap Semiconductors Breakdown of Landau-Ginzburg-Wilson Scheme for Phase Transitions Between Orbital-Current Phases and Zero-gap Semiconductors

2012-01-06

arxiv.org/abs/1201.1395v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 4 figures

Scientific paper

We show that Landau-Ginzburg-Wilson (LGW) scheme for symmetry-breaking transitions breaks down when spontaneous orbital currents cause quantum phase transitions from zero-gap semiconductors such as Dirac fermions to topological insulator (TI) or Chern insulator (CI). Topology change generates unconventional universality characterized by mean-field critical exponents beta = n/(d - n) and delta = d/n arising from free-energy singularity |zeta|^(d/n+1) that induces enhanced quantum fluctuations. Here, zeta, d, and n are intensity of the orbital current, spatial dimension, and band-dispersion exponent, respectively.

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