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Pfaffian quantum Ha...
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Bergholtz, E. J.Stockholms universitet,Fysikum
(author)
Pfaffian quantum Hall state made simple : Multiple vacua and domain walls on a thin torus
- Article/chapterEnglish2006
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LIBRIS-ID:oai:DiVA.org:su-24938
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https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-24938URI
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https://doi.org/10.1103/PhysRevB.74.081308DOI
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Language:English
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Summary in:English
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Subject category:art swepub-publicationtype
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We analyze the Moore-Read Pfaffian state on a thin torus. The known sixfold degeneracy is realized by two inequivalent crystalline states with a four- and twofold degeneracy, respectively. The fundamental quasihole and quasiparticle excitations are domain walls between these vacua, and simple counting arguments give a Hilbert space of dimension 2n−1 for 2n−k holes and k particles at fixed positions and assign each a charge ±e∕4. This generalizes the known properties of the hole excitations in the Pfaffian state as deduced using conformal field theory techniques. Numerical calculations using a model Hamiltonian and a small number of particles support the presence of a stable phase with degenerate vacua and quarter-charged domain walls also away from the thin-torus limit. A spin-chain Hamiltonian encodes the degenerate vacua and the various domain walls.
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Kailasvuori, J.Stockholms universitet,Fysikum
(author)
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Wikberg, Emma,1982-Stockholms universitet,Fysikum(Swepub:su)emma
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Hansson, Thors HansStockholms universitet,Fysikum(Swepub:su)hansson
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Karlhede, AndersStockholms universitet,Fysikum(Swepub:su)ak
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Stockholms universitetFysikum
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In:Physical Review B. Condensed Matter and Materials Physics74:8, s. 081308-1098-01211550-235X
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