Quantum phase transitions between a class of symmetry protected topological states
The subject of this paper is the phase transition between symmetry protected topological states (SPTs). We consider spatial dimension d and symmetry group G so that the cohomology group, Hd+1(G,U(1)), contains at least one Z2n or Z factor. We show that the phase transition between the trivial SPT and the root states that generate the Z2n or Z groups can be induced on the boundary of a (d+1)-dimensional G x ZT2-symmetric SPT by a ZT2 symmetry breaking field. Moreover we show these boundary phase transitions can be “transplanted” to d dimensions and realized in lattice models as a function of a tuning parameter. The price one pays is for the critical value of the tuning parameter there is an extra non-local (duality-like) symmetry. In the case where the phase transition is continuous, our theory predicts the presence of unusual (sometimes fractionalized) excitations corresponding to delocalized boundary excitations of the non-trivial SPT on one side of the transition. This theory also predicts other phase transition scenarios including first order transition and transition via an intermediate symmetry breaking phase.
- Univ. of Berkeley, CA (United States) Dept. of Physics.
- SLAC National Accelerator Laboratory, Menlo Park CA, (United States)
- Ohio State Univ, Columbus, OH (United States). Dept. of Physics.
- Univ. of Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Grant/Contract Number:
- AC02-05CH11231; AC02-76SF00515
- Published Article
- Journal Name:
- Nuclear Physics. B
- Additional Journal Information:
- Journal Volume: 896; Journal Issue: C; Journal ID: ISSN 0550-3213
- Research Org:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org:
- USDOE Office of Science (SC)
- Country of Publication:
- United States
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
- OSTI Identifier:
- Alternate Identifier(s):
- OSTI ID: 1192071