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Roy, Abhishek and Quella, Thomas ORCID: 0000-0002-5441-4124 (2018). Chiral Haldane phases of SU(N) quantum spin chains. Phys. Rev. B, 97 (15). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

Gapped quantum spin chains with symmetry PSU(N) = SU(N)/Z(N) are known to possess N distinct symmetry protected topological phases. Besides the trivial phase, there are N - 1 Haldane phases which are distinguished by the occurrence of massless boundary spins. We give an expression for a universal AKLT Hamiltonian for an arbitrary symmetry group, including the case where inversion symmetry is broken. Using a diagrammatic method, we construct Hamiltonians for two of the topological classes in SU(N) that arise when the physical spin is in the adjoint representation. Since our results are valid for all N, we also discuss the large-N limit.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Roy, Abhishek UNSPECIFIED UNSPECIFIED UNSPECIFIED Quella, Thomas UNSPECIFIED orcid.org/0000-0002-5441-4124 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-189122
DOI:	10.1103/PhysRevB.97.155148
Journal or Publication Title:	Phys. Rev. B
Volume:	97
Number:	15
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BOND GROUND-STATES; GAP Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18912