Lattice model of a three-dimensional topological singlet superconductor with time-reversal symmetry

Andreas P. Schnyder, Shinsei Ryu, Andreas W.W. Ludwig

Research output: Contribution to journalArticle

Abstract

We study topological phases of time-reversal invariant singlet superconductors in three spatial dimensions. In these systems the topological phases are characterized by an even-numbered winding number ν. At the surface the topological properties of this quantum state manifest themselves through the presence of ν flavors of gapless Dirac fermion surface states, which are robust against localization from random impurities. We construct a lattice tight-binding model that realizes a topologically nontrivial phase, in which ν=±2. Disorder corresponds to a (nonlocalizing) random SU(2) gauge potential for the surface Dirac fermions, leading to a power-law density of states ρ ∼ 1/7. The bulk effective field theory is proposed to be the (3+1)-dimensional SU(2) Yang-Mills theory with a theta term at θ=π.

Original languageEnglish (US)
Article number196804
JournalPhysical review letters
Volume102
Issue number19
DOIs
StatePublished - May 11 2009

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symmetry
fermions
Yang-Mills theory
disorders
impurities

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Lattice model of a three-dimensional topological singlet superconductor with time-reversal symmetry. / Schnyder, Andreas P.; Ryu, Shinsei; Ludwig, Andreas W.W.

In: Physical review letters, Vol. 102, No. 19, 196804, 11.05.2009.

Research output: Contribution to journalArticle

Schnyder, Andreas P. ; Ryu, Shinsei ; Ludwig, Andreas W.W. / Lattice model of a three-dimensional topological singlet superconductor with time-reversal symmetry. In: Physical review letters. 2009 ; Vol. 102, No. 19.
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