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

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dc.creatorSchnyder, Andreas P.
dc.creatorRyu, Shinsei
dc.creatorLudwig, Andreas W. W.
dc.date2009-01-10
dc.date.accessioned2026-07-07T13:14:48Z
dc.date.available2026-07-07T13:14:48Z
dc.descriptionWe study topological phases of time-reversal invariant singlet superconductors in three spatial dimensions. In these particle-hole symmetric systems the topological phases are characterized by an even-numbered winding number $ν$. At a two-dimensional (2D) 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 tight-binding model on the diamond lattice that realizes a topologically nontrivial phase, in which the winding number takes the value $ν=\pm 2$. Disorder corresponds to a (non-localizing) random SU(2) gauge potential for the surface Dirac fermions, leading to a power-law density of states $ρ(ε) \sim ε^{1/7}$. The bulk effective field theory is proposed to be the (3+1) dimensional SU(2) Yang-Mills theory with a theta-term at $θ=π$.
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0901.1343
dc.identifierhttp://arxiv.org/abs/0901.1343
dc.identifierPhys. Rev. Lett. 102, 196804 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.196804
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230294
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.titleLattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
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