Analytical Study of the Antiferromagnetic Heisenberg Films

Shi'an Liu; Tianlun Chen; Hong Li

doi:10.1088/0253-6102/31/3/361

Analytical Study of the Antiferromagnetic Heisenberg Films

Shi'an Liu, Tianlun Chen, Hong Li

Research output: Contribution to journal › Article › peer-review

Abstract

With the variational cumulant expansion (VCE) method, the thermodynamic behaviors of S = 1/2 antiferromagnetic Heisenberg films in simple cubic lattices are studied analytically. From the analytic properties of the free energy, in principle we are able to calculate analytically the critical temperatures T_c(L) and the thermodynamic functions, to any order cumulant as the functions of the number of L (the hyperlayers in the hyperfilm). Explicit expressions for T_c(L) up to the fourth order are given. A comparison with the existing results for 3-dimensional system is given. The effective range of the interaction is obtained from numerical results.

Original language	English (US)
Pages (from-to)	361-366
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	31
Issue number	3
DOIs	https://doi.org/10.1088/0253-6102/31/3/361
State	Published - Apr 30 1999
Externally published	Yes

Keywords

Antiferromagnetic Heisenberg films
Variational cumulant expansion method

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/0253-6102/31/3/361

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title = "Analytical Study of the Antiferromagnetic Heisenberg Films",

abstract = "With the variational cumulant expansion (VCE) method, the thermodynamic behaviors of S = 1/2 antiferromagnetic Heisenberg films in simple cubic lattices are studied analytically. From the analytic properties of the free energy, in principle we are able to calculate analytically the critical temperatures Tc(L) and the thermodynamic functions, to any order cumulant as the functions of the number of L (the hyperlayers in the hyperfilm). Explicit expressions for Tc(L) up to the fourth order are given. A comparison with the existing results for 3-dimensional system is given. The effective range of the interaction is obtained from numerical results.",

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author = "Shi'an Liu and Tianlun Chen and Hong Li",

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T1 - Analytical Study of the Antiferromagnetic Heisenberg Films

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AU - Chen, Tianlun

AU - Li, Hong

PY - 1999/4/30

Y1 - 1999/4/30

N2 - With the variational cumulant expansion (VCE) method, the thermodynamic behaviors of S = 1/2 antiferromagnetic Heisenberg films in simple cubic lattices are studied analytically. From the analytic properties of the free energy, in principle we are able to calculate analytically the critical temperatures Tc(L) and the thermodynamic functions, to any order cumulant as the functions of the number of L (the hyperlayers in the hyperfilm). Explicit expressions for Tc(L) up to the fourth order are given. A comparison with the existing results for 3-dimensional system is given. The effective range of the interaction is obtained from numerical results.

AB - With the variational cumulant expansion (VCE) method, the thermodynamic behaviors of S = 1/2 antiferromagnetic Heisenberg films in simple cubic lattices are studied analytically. From the analytic properties of the free energy, in principle we are able to calculate analytically the critical temperatures Tc(L) and the thermodynamic functions, to any order cumulant as the functions of the number of L (the hyperlayers in the hyperfilm). Explicit expressions for Tc(L) up to the fourth order are given. A comparison with the existing results for 3-dimensional system is given. The effective range of the interaction is obtained from numerical results.

KW - Antiferromagnetic Heisenberg films

KW - Variational cumulant expansion method

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JO - Communications in Theoretical Physics

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Analytical Study of the Antiferromagnetic Heisenberg Films

Abstract

Keywords

ASJC Scopus subject areas

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