Department of Physics Papers

Document Type

Journal Article

Date of this Version

11-21-1994

Publication Source

Physical Review Letters

Volume

73

Issue

21

Start Page

2919

Last Page

2922

DOI

10.1103/PhysRevLett.73.2919

Abstract

The origins of anisotropy in the effective spin Hamiltonian, describing the ground manifold of Hubbard models with spin-orbit interactions, are critically discussed. For tetragonal symmetry, we show exactly that spin anisotropy can arise only if one includes both spin-orbit and Coulomb exchange interactions. For lower symmetries, additional anisotropies arise from terms which were hitherto neglected. Our analytic results are supported by numerical solutions for single bond clusters. These results can explain the easy plane anisotropy in the antiferromagnetic cuprates.

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Date Posted: 20 August 2015

This document has been peer reviewed.