Document Detail


Quantum spherical spin models.
MedLine Citation:
PMID:  15244895     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
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.
Authors:
R Serral Gracià; Th M Nieuwenhuizen
Related Documents :
17935405 - Proton transfer reactions in model condensed-phase environments: accurate quantum dynam...
16907475 - Leggett-garg inequality with a kicked quantum pump.
20644775 - Lasing in self-assembled microcavities of cdse/cds core/shell colloidal quantum rods.
21085175 - Entanglement of spin waves among four quantum memories.
24383585 - Multiscale theory in the molecular simulation of electrolyte solutions.
18422965 - Large eddy simulation and zonal modeling of human-induced contaminant transport.
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:  -    
Affiliation:
Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands. rubeng@science.uva.nl
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms
Descriptor/Qualifier:

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


Previous Document:  Stochastic resonance in biological nonlinear evolution models.
Next Document:  Dynamics of the adaptive natural gradient descent method for soft committee machines.