CRITICAL DYNAMICS OF THE XY-MODEL ON THE ONE-DIMENSIONAL SUPERLATTICE BY POSITION SPACE RENORMALIZATION GROUP
1996 ◽
Vol 10
(22)
◽
pp. 1077-1083
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Keyword(s):
Xy Model
◽
The critical dynamics of the isotropic XY-model on the one-dimensional superlattice is considered in the framework of the position space renormalization group theory. The decimation transformation is introduced by considering the equations of motion of the operators associated to the excitations of the system, and it corresponds to an extension of the procedure introduced by Stinchcombe and dos Santos (J. Phys. A18, L597 (1985)) for the homogeneous lattice. The dispersion relation is obtained exactly and the static and dynamic scaling forms are explicitly determined. The dynamic critical exponent is also obtained and it is shown that it is identical to the one of the XY-model on the homogeneous chain.
1979 ◽
Vol 99
(1-2)
◽
pp. 330-336
◽
1993 ◽
Vol 71
(23)
◽
pp. 3866-3869
◽
Keyword(s):
2012 ◽
Vol 376
(45)
◽
pp. 2982-2988
◽
1977 ◽
Vol 89
(2)
◽
pp. 265-303
◽
1983 ◽
Vol 31-34
◽
pp. 1223-1224