Exact solutions for correlations in the kagome Ising antiferromagnet

Journal Article · Mon Jan 20 04:00:00 EST 1997 · International Journal of Modern Physics B

DOI:https://doi.org/10.1142/S0217979297000113· OSTI ID:462620

Barry, J H ^[1]; Khatun, M ^[2]

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1. Univ. of Florida, Gainesville, FL (United States). Dept. of Physics
2. Ball State Univ., Muncie, IN (United States). Dept. of Physics and Astronomy

The kagome Ising antiferromagnet is highly frustrated with its pair correlation, decaying exponentially at large distance for all temperatures including absolute zero. Hence, the spin system does not support long-range orderings and is devoid of any phase transition. One proves, via local star-triangle and decoration-decimation transformations, that correlations in the kagome Ising antiferromagnet at arbitrary temperatures can be represented as linear combinations of correlations in the honeycomb Ising ferromagnet at high temperatures (disordered region). Existent knowledge of all honeycomb Ising correlations upon a select (spatially compact) 10-site cluster is thus sufficient to determine all present kagome Ising correlations upon an associated 9-site cluster. Examples of resulting exact solutions for pair and multisite correlations in the kagome Ising antiferromagnet are presented at all temperatures. Applications include joint configuration probabilities, thermodynamic response functions such as the specific heat and the initial perpendicular susceptibility, and the inelastic neutron scattering function.

• OSTI ID: 462620
• Report Number(s): CONF-9603223--
• Journal Information: International Journal of Modern Physics B, Journal Name: International Journal of Modern Physics B Journal Issue: 1-2 Vol. 11; ISSN IJPBEV; ISSN 0217-9792
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CORRELATIONS
ISING MODEL
PHASE TRANSFORMATIONS
STATISTICAL MECHANICS