Document Detail

Quantum spherical spin models.
MedLine Citation:
PMID:  15244895     Owner:  NLM     Status:  PubMed-not-MEDLINE    
A recently introduced class of quantum spherical spin models is considered in detail. Since the spherical constraint already contains a kinetic part, the Hamiltonian need not have kinetic term. As a consequence, situations with or without momenta in the Hamiltonian can be described, which may lead to different symmetry classes. Two models that show this difference are analyzed. Both models are exactly solvable and their phase diagram is analyzed. A transversal external field leads to a phase transition line that ends in a quantum critical point. The two considered symmetries of the Hamiltonian considered give different critical phenomena in the quantum critical region. The model with momenta is argued to be analog to the large-N limit of an SU(N) Heisenberg ferromagnet, and the model without momenta shares the critical phenomena of an SU(N) Heisenberg antiferromagnet.
R Serral Gracià; Th M Nieuwenhuizen
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Publication Detail:
Type:  Journal Article     Date:  2004-05-28
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  69     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2004 May 
Date Detail:
Created Date:  2004-07-12     Completed Date:  2004-09-28     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  056119     Citation Subset:  -    
Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands.
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