Discriminating string order parameter for topological phases of gapped spin chains
K Duivenvoorden, T Quella - Physical Review B—Condensed Matter and …, 2012 - APS
Physical Review B—Condensed Matter and Materials Physics, 2012•APS
One-dimensional gapped spin chains with symmetry PSU (N)= SU (N)/ZN are known to
possess N different topological phases. In this paper, we introduce a nonlocal string order
parameter which characterizes each of these N phases unambiguously. Numerics confirm
that our order parameter allows one to extract a quantized topological invariant from a given
nondegenerate gapped ground state wave function. Discontinuous jumps in the discrete
topological order that arise when varying physical couplings in the Hamiltonian may be used …
possess N different topological phases. In this paper, we introduce a nonlocal string order
parameter which characterizes each of these N phases unambiguously. Numerics confirm
that our order parameter allows one to extract a quantized topological invariant from a given
nondegenerate gapped ground state wave function. Discontinuous jumps in the discrete
topological order that arise when varying physical couplings in the Hamiltonian may be used …
One-dimensional gapped spin chains with symmetry are known to possess different topological phases. In this paper, we introduce a nonlocal string order parameter which characterizes each of these phases unambiguously. Numerics confirm that our order parameter allows one to extract a quantized topological invariant from a given nondegenerate gapped ground state wave function. Discontinuous jumps in the discrete topological order that arise when varying physical couplings in the Hamiltonian may be used to detect quantum phase transitions between different topological phases.
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