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Mapping of Parent Hamiltonians: From Abelian and Non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains

Mapping of Parent Hamiltonians: From Abelian and Non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains

Hardcover

Series: Springer Tracts in Modern Physics, Book 244

Physics

ISBN10: 3642243835
ISBN13: 9783642243837
Publisher: Springer Nature
Published: Dec 7 2011
Pages: 194
Weight: 1.04
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
Introduction and summary.- Three models and a ground state.- From a Laughlin state to the Haldane-Shastry model.- From a bosonic Pfaffian state to an S = 1 spin chain.- Generalization to arbitrary spin S.- Conclusions and unresolved issues.- Spherical coordinates.- Fourier sums for one-dimensional lattices.- Angular momentum algebra.- Tensor decompositions of spin operators.

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Physics