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Condensate-induced transitions and critical spin chains
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2013 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 88, no 4, 041403- p.Article in journal (Refereed) Published
Abstract [en]

We show that condensate-induced transitions between two-dimensional topological phases provide a general framework to relate one-dimensional spin models at their critical points. We demonstrate this using two examples. First, we show that two well-known spin chains, namely, the XY chain and the transverse field Ising chain with only next-nearest-neighbor interactions, differ at their critical points only by a nonlocal boundary term and can be related via an exact mapping. The boundary term constrains the set of possible boundary conditions of the transverse field Ising chain, reducing the number of primary fields in the conformal field theory that describes its critical behavior. We argue that the reduction of the field content is equivalent to the confinement of a set of primary fields, in precise analogy to the confinement of quasiparticles resulting from a condensation of a boson in a topological phase. As the second example we show that when a similar confining boundary term is applied to the XY chain with only next-nearest-neighbor interactions, the resulting system can be mapped to a local spin chain with the u(1)(2) x u(1)(2) critical behavior predicted by the condensation framework.

Place, publisher, year, edition, pages
2013. Vol. 88, no 4, 041403- p.
Keyword [en]
Ising-Model, Transverse Field, States
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-125849DOI: 10.1103/PhysRevB.88.041403ISI: 000321857800002Scopus ID: 2-s2.0-84881163365OAI: oai:DiVA.org:kth-125849DiVA: diva2:641159
Funder
Swedish Research Council
Note

QC 20130815

Available from: 2013-08-15 Created: 2013-08-15 Last updated: 2017-12-06Bibliographically approved

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Månsson, TeresiaLahtinen, VilleSuorsa, JuhaArdonne, Eddy
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