Diagonalization of an exchange Hamiltonian for 163He spins

M. C. Cross, R. N. Bhatt

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


An exact investigation of a finite-size quantum spin-1/2 model of bcc3He, consisting of two interpenetrating cubes with periodic boundary conditions, is performed with an exchange Hamiltonian incorporating two-, three-, and planar four-spin exchange. Although there is qualitative agreement with the mean field phase diagram, quantum effects are much larger (up to 100% in ground state energy) than with pure Heisenberg exchange. We comment on the comparison of theory and experiment in light of the present results.

Original languageEnglish (US)
Pages (from-to)573-587
Number of pages15
JournalJournal of Low Temperature Physics
Issue number5-6
StatePublished - Dec 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • General Materials Science
  • Condensed Matter Physics


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