Spin correlations near the surface of a three-dimensional Heisenberg antiferromagnet

DOI10.1016/J.PHYSLETA.2009.07.049zbMATH Open1236.82110arXiv0907.0532OpenAlexW2020464134MaRDI QIDQ2429274

Yanyan Li

Publication date: 24 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Abstract: Nearest-neighbor spin correlations are considered near the surface of a semi-infinite spin-$frac12$ Heisenberg antiferromagnet on a simple cubic lattice. In the spin-wave approximation, the excitation spectrum of this model involves bulk modes -- standing spin waves and a quasi-two-dimensional mode of surface spin waves. These latter excitations eject the bulk excitations from the surface region thus dividing the antiferromagnet into two parts with different excitations. As a result absolute values of the spin correlations near the surface exceed the bulk value. In the surface region, the pattern of spin correlations resembles the comb structure recently obtained for the two-dimensional case.

Full work available at URL: https://arxiv.org/abs/0907.0532

zbMATH Keywords

spin correlationsmagnetic excitationssemi-infinite Heisenberg antiferromagnet

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

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