Translation-invariant topological superconductors on a lattice
Author(s)Kou, Su-Peng; Wen, Xiao-Gang
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In this paper we introduce four Z2 topological indices zeta k=0,1 at k=(0,0), (0,pi), (pi,0), and (pi,pi) characterizing 16 universal classes of two-dimensional superconducting states that have translation symmetry but may break any other symmetries. The 16 classes of superconducting states are distinguished by their even/odd numbers of fermions on even-by-even, even-by-odd, odd-by-even, and odd-by-odd lattices. As a result, the 16 classes topological superconducting states exist even for interacting systems. For noninteracting systems, we find that zeta k is the number of electrons on k=(0,0), (0,pi), (pi,0), or (pi,pi) orbitals (mod 2) in the ground state. For three-dimensional superconducting states with only translation symmetry, topological indices give rise to 256 different types of topological superconductors.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review B
American Physical Society
Kou, Su-Peng, and Xiao-Gang Wen. “Translation-invariant topological superconductors on a lattice.” Physical Review B 82.14 (2010): 144501. © 2010 The American Physical Society.
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