TY - JOUR

T1 - Lattice model of a three-dimensional topological singlet superconductor with time-reversal symmetry

AU - Schnyder, Andreas P.

AU - Ryu, Shinsei

AU - Ludwig, Andreas W.W.

PY - 2009/5/11

Y1 - 2009/5/11

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevLett.102.196804

DO - 10.1103/PhysRevLett.102.196804

M3 - Article

C2 - 19518986

AN - SCOPUS:65649116620

VL - 102

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 19

M1 - 196804

ER -