MISC

2009年6月

A constrained stochastic state selection method applied to quantum spin systems

JOURNAL OF PHYSICS-CONDENSED MATTER
  • Tomo Munehisa:T.Munehisa
  • ,
  • Yasuko Munehisa

21
23
記述言語
英語
掲載種別
DOI
10.1088/0953-8984/21/23/236008
出版者・発行元
IOP PUBLISHING LTD

We describe a further development of the stochastic state selection method, which is a kind of Monte Carlo method we have proposed in order to numerically study large quantum spin systems. In the stochastic state selection method we make a sampling which is simultaneous for many states. This feature enables us to modify the method so that a number of given constraints are satisfied in each sampling. In this paper we discuss this modified stochastic state selection method that will be called the constrained stochastic state selection method in distinction from the previously proposed one (the conventional stochastic state selection method) in this paper. We argue that, by virtue of the constrained sampling, some quantities obtained in each sampling become more reliable, i.e. their statistical fluctuations are less than those from the conventional stochastic state selection method.
In numerical calculations of the spin-1/2 quantum Heisenberg antiferromagnet on a 36-site triangular lattice we explicitly show that data errors in our estimation of the ground state energy are reduced. Then we successfully evaluate several low-lying energy eigenvalues of the model on a 48-site lattice. Our results support that this system can be described by the theory based on the spontaneous symmetry breaking in the semiclassical Neel ordered antiferromagnet.

リンク情報
DOI
https://doi.org/10.1088/0953-8984/21/23/236008
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000266581200031&DestApp=WOS_CPL
ID情報
  • DOI : 10.1088/0953-8984/21/23/236008
  • ISSN : 0953-8984
  • eISSN : 1361-648X
  • Web of Science ID : WOS:000266581200031

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