NDLI: Study of the magnetic properties of two-dimensional (2D) classical square heisenberg antiferromagnets II- spin correlations and susceptibility

Content Provider	IEEE Xplore Digital Library
Author	Curély, J.
Copyright Year	2010
Description	Author affiliation: Centre de Physique Moléculaire Optique et Hertzienne (C.P.M.O.H.), Université Bordeaux 1 351 Cours de la Libération, 33405 Talence Cedex, France (Curély, J.)
Abstract	In this part labelled II we examine the spin correlations and the susceptibility. We use a similar method which has allowed to derive a closed-form expression of the zero-field partition function ZN(0), for 2D square lattices composed of $(2N+1)^{2}$ classical spins isotropically coupled [1]. We rigorously show that the spin correlation vanishes in the zero-field limit, except at T=0 K. Thus, the critical temperature is TC=0 K, in agreement with Mermin-Wagner's theorem. For calculating the spin-spin correlation, we show that it is necessary to distinguish a correlation domain in which the correlation path is confined and a wing domain (Theorem 1). In the thermodynamic limit (N→+∞), we give a general closed-form expression for the spin-spin correlation between any two lattice sites. We prove that all the possible paths have the same analytic expression and correspond to the shortest ones in agreement with the classical principle of least action and its quantum version (Theorem 2). As a result and for the first time, we derive the closed-form expression for the susceptibility, without any approximation. We finally test previous experimental fits and we show that the use of a truncated expansion for the susceptibility was totally justified.
Starting Page	79
Ending Page	88
File Size	774525
Page Count	10
File Format	PDF
ISBN	9781424470198
ISSN	18420133
e-ISBN	9781424470204
DOI	10.1109/OPTIM.2010.5510535
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-05-20
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Thermodynamics Electronic equipment Temperature Lattices Quantum mechanics Antiferromagnetic materials Closed-form solution Equations Magnetic properties Magnetic susceptibility
Content Type	Text
Resource Type	Article

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