Download PDF by Martin Greiter: Mapping of Parent Hamiltonians: From Abelian and non-Abelian

By Martin Greiter

This monograph introduces a precise version for a severe spin chain with arbitrary spin S, together with the Haldane--Shastry version because the specific case S=1/2.  whereas spinons within the Haldane-Shastry version obey abelian half-fermi information, the spinons within the common version brought right here obey non-abelian statistics.  This manifests itself via topological offerings for the fractional momentum spacings.  the overall version is derived by way of mapping special versions of quantized corridor states onto spin chains.  The publication starts off with pedagogical overview of the entire proper versions together with the non-abelian records within the Pfaffian corridor kingdom, and is comprehensible to each scholar with a graduate direction in quantum mechanics.

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Mapping of Parent Hamiltonians: From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains (Springer Tracts in Modern Physics) by Martin Greiter


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