Topological Quantum Phase Transitions in Superconductivity on Lattices

Details Topological Quantum Phase Transitions in Superconductivity on Lattices Topological Quantum Phase Transitions in Superconductivity on Lattices

2001-11-06

arxiv.org/abs/cond-mat/0111077v3

Phys. Rev. B 65, 212510 (2002)

Physics

Condensed Matter

Superconductivity

revtex4, with eps 4 figures(2 included and 2 separated)

Scientific paper

10.1103/PhysRevB.65.212510

Topological quantum phase transitions in superconductivity are discussed on two dimensional lattices. The main focus is on the Chern number for superconducting states. Each superconductivity is characterized by the Chern number, and the quantum phase transition is associated with topological changes of the quasiparticle Bloch function in the Brillouin zone. For the superconducting case, the Chern number has several equivalent but different topological expressions given by vortices, the Dirac monopole and strings. We demonstrate quantum phase transitions by these topological quantities both for singlet and triplet cases.

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