What is the lowest spin for which Néel order is possible in the d=2 Heisenberg model?

R. Shankar, Ganpathy Murthy

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2 Scopus citations

Abstract

An important quantity for quantum antiferromagnets in d=2 is Sc, the lowest value of spin for which Néel order is possible in the ground state of the Heisenberg Hamiltonian. By using the first three known terms of the 1/S expansion for the ground state magnetization M, together with the fact that M must vanish as (SSc)β, where β is the magnetization exponent of the n=3 classical Heisenberg model in d=3, we estimate that Sc=0.38. Our Padé analysis also estimates that for S= 1 2, M=0.54S. If the Padé answer is the full story, the next term in the 1/S expansion will have a coefficient ≈ - 2 3(0.2)3.

Original languageEnglish
Pages (from-to)165-166
Number of pages2
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume137
Issue number4-5
DOIs
StatePublished - May 15 1989

Bibliographical note

Funding Information:
The research of G. Murthy is supported by a grant from the National Science Foundation NSF # 85-07627.

ASJC Scopus subject areas

  • General Physics and Astronomy

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