TY - JOUR
T1 - Many-Body Topological Invariants for Fermionic Symmetry-Protected Topological Phases
AU - Shapourian, Hassan
AU - Shiozaki, Ken
AU - Ryu, Shinsei
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/5/25
Y1 - 2017/5/25
N2 - We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants are given by partition functions obtained by a path integral on unoriented spacetime which, as we show, can be computed for a given ground state wave function by considering a nonlocal operation, "partial" reflection or transpose. As an application of our scheme, we study the Z8 and Z16 classification of topological superconductors in one and three dimensions.
AB - We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants are given by partition functions obtained by a path integral on unoriented spacetime which, as we show, can be computed for a given ground state wave function by considering a nonlocal operation, "partial" reflection or transpose. As an application of our scheme, we study the Z8 and Z16 classification of topological superconductors in one and three dimensions.
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U2 - 10.1103/PhysRevLett.118.216402
DO - 10.1103/PhysRevLett.118.216402
M3 - Article
C2 - 28598638
AN - SCOPUS:85019631641
SN - 0031-9007
VL - 118
JO - Physical review letters
JF - Physical review letters
IS - 21
M1 - 216402
ER -