Exact diagonalization of the S=1/2 XY ferromagnet on finite bcc lattices to estimate T=0 properties on the infinite lattice

Details Exact diagonalization of the S=1/2 XY ferromagnet on finite bcc lattices to estimate T=0 properties on the infinite lattice Exact diagonalization of the S=1/2 XY ferromagnet on finite bcc lattices to estimate T=0 properties on the infinite lattice

2001-05-15

arxiv.org/abs/cond-mat/0105291v1

Eur.Phys.J.B Vol.21, 191 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, 3 figures, accepted to EJP B

Scientific paper

10.1007/s100510170195

In this paper finite bcc lattices are defined by a triple of vectors in two different ways - upper triangular lattice form and compact form. In Appendix A are lists of some 260 distinct and useful bcc lattices of 9 to 32 vertices. The energy and magnetization of the S = 1/2 XY ferromagnet have been computed on these bcc lattices in the lowest states for $S_z$ = 0, 1/2, 1 and 3/2. These data are studied statistically to fit the first three terms of the appropriate finite lattice scaling equations. Our estimates of the T = 0 energy and magnetization agree very well with spin wave and series expansion estimates.

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