Thermodynamic properties of the classical Heisenberg chain with nearest- and next-nearest-neighbor interactions

I. Harada, H. J. Mikeska

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

Exact results for the thermodynamic quantities of the one-dimensional classical Heisenberg model with nearest- and next-nearest-neighbor exchange interactions are obtained by means of the numerical transfer matrix method. For a wide range of exchange constants, the system exhibits helical short-range order on which we focus our attention. We find that the Fourier-transformed spin correlation function shows a maximum with asymmetric shape at the characteristic wave-number ±qm (≠0, ±π). The correlation length defined as the inverse of the width at q=qm obeys a simple scaling law and shows a power-law singularity at zero temperature. Results for the heat capacity and the susceptibility are also presented and discussed in connection with the helical short-range order.

Original languageEnglish
Pages (from-to)391-398
Number of pages8
JournalZeitschrift für Physik B Condensed Matter
Volume72
Issue number3
DOIs
Publication statusPublished - Sep 1988
Externally publishedYes

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Transfer matrix method
Scaling laws
Exchange interactions
Specific heat
Thermodynamic properties
thermodynamic properties
Thermodynamics
matrix methods
scaling laws
specific heat
interactions
magnetic permeability
Temperature
thermodynamics
temperature

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Thermodynamic properties of the classical Heisenberg chain with nearest- and next-nearest-neighbor interactions. / Harada, I.; Mikeska, H. J.

In: Zeitschrift für Physik B Condensed Matter, Vol. 72, No. 3, 09.1988, p. 391-398.

Research output: Contribution to journalArticle

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