Duivenvoorden, Kasper and Quella, Thomas ORCID: 0000-0002-5441-4124 (2013). From symmetry-protected topological order to Landau order. Phys. Rev. B, 88 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1098-0121

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Abstract

Focusing on the particular case of the discrete symmetry group Z(N) x Z(N), we establish a mapping between symmetry-protected topological phases and symmetry-broken phases for one-dimensional spin systems. It is realized in terms of a nonlocal unitary transformation which preserves the locality of the Hamiltonian. We derive the image of the mapping for various phases involved, including those with a mixture of symmetry breaking and topological protection. Our analysis also applies to topological phases in spin systems with arbitrary continuous symmetries of unitary, orthogonal, and symplectic type. This is achieved by identifying suitable subgroups Z(N) x Z(N) in all these groups, together with a bijection between the individual classes of projective representations.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Duivenvoorden, KasperUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Quella, ThomasUNSPECIFIEDorcid.org/0000-0002-5441-4124UNSPECIFIED
URN: urn:nbn:de:hbz:38-476013
DOI: 10.1103/PhysRevB.88.125115
Journal or Publication Title: Phys. Rev. B
Volume: 88
Number: 12
Date: 2013
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1098-0121
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
QUANTUM SPIN CHAINS; BOND GROUND-STATES; ANTIFERROMAGNETSMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/47601

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