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Prog. Theor. Phys. Vol. 65 No. 2 (1981) pp. 451-462
Study of Quantum Spin 1/2 X-Y Model by Means of Extended Migdal Approximation
Takeshi Tatsumi
Department of Chemistry, Faculty of Science, Kyoto University, Kyoto 606
(Received July 30, 1980)
Abstract:
The quantum spin 1/2 X-Y model in dimensions d = 1, 2 and 3
is studied by means of the extended Migdal approximation for the scale
factor of the transformation b = 2. It is found, with the imposed
conditions to get the recursion equations, that an unstable fixed
point between a T = 0 fixed point and that of T = ∞ exists
for d > 1. However, alternate imposed conditions lead to an unusual
behavior that the T = 0 fixed point does not appear in any dimension
and that a stable fixed point appears at a lower temperature than that
of an unstable one for d > 2. The same model on the simple cubic
and face-centered cubic lattices is also treated by the two-step
decimation transformation.
URL :
http://ptp.ipap.jp/link?PTP/65/451/
DOI : 10.1143/PTP.65.451
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