Soluble model of interacting classical quadrupoles in one dimension

M. F. Thorpe, M. Blume

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We solve exactly for the thermodynamic properties of a linear chain of classical spins with near-neighbor bilinear and biquadratic isotropic exchange interactions. At zero temperature the system can be either ordered or disordered, depending on the relative magnitudes and signs of the bilinear and biquadratic exchange. In addition, it is found that at finite temperatures "disorder points" occur, at which the correlation functions change in character from monotonic decreasing functions of distance to oscillatory functions. The disorder points found here are of interest because they occur even though the interactions are restricted to nearest neighbors.

Original languageEnglish (US)
Pages (from-to)1961-1965
Number of pages5
JournalPhysical Review B
Issue number5
StatePublished - 1972

ASJC Scopus subject areas

  • Condensed Matter Physics


Dive into the research topics of 'Soluble model of interacting classical quadrupoles in one dimension'. Together they form a unique fingerprint.

Cite this