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Physica A Statistical Mechanics and its Applications

Transverse correlations in the inhomogeneous one-dimensional XY-model at infinite temperature

Jacques H. H. Perk, Hans W. Capel

Published Jun 1, 1978• 41 citations
Publisher
DOI
10.1016/0378-4371(78)90026-2

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The one-dimensional (s = 1/2, open chain) isotropic ferromagnetic XY model in an inhomogeneous transverse field is considered. The exact profile of the induced magnetization is obtained by using the Green function technique. Results are presented for the magnetization profile at different finite temperatures and various strengths of the field. In the scaling region, from the analytical results obtained for the profile of the interface at T = 0, and by a suitable renormalization of the magnetization, it is shown that near the critical point it satisfies a scaling relation identical to the one obtained by van der Waals theory for fluids, provided the correlation length is adequately defined.

Modern Physics Letters B•Jun 30, 1994•7 citations
The one-dimensional (s = 1/2, open chain) isotropic ferromagnetic XY model in an inhomogeneous transverse field is considered. The exact profile of the induced magnetization is obtained by using the Green function technique. Results are presented for the magnetization profile at different finite temperatures and various strengths of the field. In the scaling region, from the analytical results obtained for the profile of the interface at T = 0, and by a suitable renormalization of the magnetization, it is shown that near the critical point it satisfies a scaling relation identical to the one obtained by van der Waals theory for fluids, provided the correlation length is adequately defined.