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Topological and symmetry broken phases of Z_N parafermions in one dimension | | Roberto Bondesan
; Thomas Quella
; | | Date: |
22 Mar 2013 | | Abstract: | We classify the gapped phases of Z_N parafermions in one dimension and
construct a representative of each phase. Even in the absence of additional
symmetries besides parafermionic parity, parafermions may be realized in a
variety of phases, one for each divisor n of N. The phases can be characterized
by spontaneous symmetry breaking, topology, or a mixture of the two. Purely
topological phases arise if n is a unitary divisor, i.e. if n and N/n are
co-prime. Our analysis is based on the explicit realization of all symmetry
broken gapped phases in the dual Z_N-invariant quantum spin chains. | | Source: | arXiv, 1303.5587 | | Services: | Forum | Review | PDF | Favorites | |
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