Statistical mechanics of Cu $O_{2}$ plane in the presence of localized holes

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1 October 1988

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 38 (10) , 7061-7063
https://doi.org/10.1103/physrevb.38.7061

Abstract

Both

{La}_{2}

Cu

O_{4}

and Y

{Ba}_{2}

{Cu}_{3}

O_{6}

are antiferromagnetic insulators, becoming less so as holes are introduced on individual oxygen bonds. We evaluate the free energy of a single Cu

O_{2}

plane in the Ising representation. Beyond a critical concentration

x_{0} = 0.29289

holes per Cu

O_{2}

cell, antiferromagnetism is replaced by a paramagnetic phase having short-range order only. The ground-state entropy is 0 at

x = 0, 0.0697

per Cu

O_{2}

cell at

x = x_{0}

, and 0.6931 (i.e., ln2) at

x = 1

.

Keywords

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