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Anyonic quantum spi...
Anyonic quantum spin chains : Spin-1 generalizations and topological stability
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Gils, C. (författare)
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- Ardonne, Eddy (författare)
- Stockholms universitet,KTH,Nordic Institute for Theoretical Physics NORDITA,Fysikum,Nordiska institutet för teoretisk fysik (Nordita)
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Trebst, S. (författare)
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Huse, D. A. (författare)
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Ludwig, A. W. W. (författare)
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Troyer, M. (författare)
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Wang, Z. (författare)
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(creator_code:org_t)
- American Physical Society, 2013
- 2013
- Engelska.
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Ingår i: Physical Review B. Condensed Matter and Materials Physics. - : American Physical Society. - 1098-0121 .- 1550-235X. ; 87:23, s. 235120-
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- There are many interesting parallels between systems of interacting non-Abelian anyons and quantum magnetism occurring in ordinary SU(2) quantum magnets. Here we consider theories of so-called SU(2)(k) anyons, well-known deformations of SU(2), in which only the first k + 1 angular momenta of SU(2) occur. In this paper, we discuss in particular anyonic generalizations of ordinary SU(2) spin chains with an emphasis on anyonic spin S = 1 chains. We find that the overall phase diagrams for these anyonic spin-1 chains closely mirror the phase diagram of the ordinary bilinear-biquadratic spin-1 chain including anyonic generalizations of the Haldane phase, the AKLT construction, and supersymmetric quantum critical points. A novel feature of the anyonic spin-1 chains is an additional topological symmetry that protects the gapless phases. Distinctions further arise in the form of an even/odd effect in the deformation parameter k when considering su(2)(k) anyonic theories with k >= 5, as well as for the special case of the su(2)(4) theory for which the spin-1 representation plays a special role. We also address anyonic generalizations of spin-1/2 chains with a focus on the topological protection provided for their gapless ground states. Finally, we put our results into the context of earlier generalizations of SU(2) quantum spin chains, in particular so-called (fused) Temperley-Lieb chains.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Nyckelord
- Conformal Field-Theory
- 2 Dimensions
- Antiferromagnetic S
- Potts-Model
- Statistics
- Invariance
- Lattices
- Symmetry
- Algebra
- Fusion
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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