ISSN:
1572-9613
Keywords:
QuantumXYZ model
;
Ashkin-Teller model
;
generalized Trotter formula
;
quantum Monte Carlo
;
negative sign problem
;
frustrated quantum spin system
;
quantum Villain model
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract It is proved that two-dimensional spin-1/2XYZ models can be mapped onto generalized Ashkin-Teller models, in the first approximation of a realization of the decomposition scheme proposed by Suzuki. Consequently, it is shown that a large class of quantum spin models can be investigated analytically within the present approximation. Some analytic and numerical results are explicitly obtained with respect to thermal and critical properties in some interesting cases. It is also pointed out that the present mapping suggests a procedure to overcome the well-known negative sign problem in performing Monte Carlo calculations of frustrated quantum spin models.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01033086
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