Antiferromagnetic model with known ground state

1970/04/01 by Chanchal K. Majumdar, C K Majumdar · 15 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics

paper · doi:10.1088/0022-3719/3/4/019

crossref issued 1970/04/01 · crossref published 1970/04/01 · crossref published-print 1970/04/01 · openalex publication_date 1970/04/01 · crossref published-online 2001/03/14 · crossref created 2002/07/26 · crossref deposited 2020/04/10 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30

Abstract

The ground state of the one-dimensional antiferromagnetic model, with the Hamiltonian H= 1 / 2 j Sigma i=1 n sigma i . sigma i+1 + 1 / 4 j Sigma i=1 n sigma i . sigma 1+2 n sigma i . sigma 1+2 (j>O, N even, N+1 identical to 1, N+2 identical to 2) can be given explicitly in terms of spin eigen-functions. Various properties of the ground state are studied. An approximate determination of the low-lying excited states shows the usual linear frequency-wave-vector relationship.

Citations

• Two soluble models of an antiferromagnetic chain

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