Detection of gapped phases of a one-dimensional spin chain with on-site and spatial symmetries

Abhishodh Prakash, Colin G. West, Tzu-Chieh Wei
2016 Physical review B  
We investigate the phase diagram of a quantum spin-1 chain whose Hamiltonian is invariant under a global onsite A_4, translation and lattice inversion symmetries. We detect different gapped phases characterized by SPT order and symmetry breaking using matrix product state order parameters. We observe a rich variety of phases of matter characterized by a combination of symmetry breaking and symmetry fractionalization and also the interplay between the onsite and spatial symmetries. Examples of
more » ... ntinuous phase transitions directly between topologically nontrivial SPT phases are also observed.
doi:10.1103/physrevb.94.045136 fatcat:r4gylhsdg5auveec3olmjzf7u4