Specific Heat of the Mixed Spin-1/2 and Spin-S Ising Model with a Rope Ladder Structure

• Authors: J. Kiššová , J. Strečka
• Languages of publication: EN

Abstracts

EN

The mixed spin-1/2 and spin-S (S>1/2) Ising model on a rope ladder is examined by combining two exact analytical methods. By the decoration-iteration mapping transformation, this mixed-spin system is firstly transformed to a simple spin-1/2 Ising model on the two-leg ladder, which is then exactly solved by the standard transfer-matrix method. The thermal variations of the zero-field specific heat are discussed in particular.

Keywords

EN

05.50.+q; 75.40.Cx

Discipline

• 75.40.Cx: Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)

• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 113
• Issue: 1
• Pages: 445-448

Dates

published

2008-01

received

2007-07-09

Contributors

author

J. Kiššová

• Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic

author

J. Strečka

• Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic

References

• 1. C.J. Thompson, Mathematical Statistical Mechanics, Princeton University Press, New Jersey 1979
• 2. C.J. Thompson, Classical Equilibrium Statistical Mechanics, Oxford University Press, New York 1988
• 3. M. Ohba, N. Maruono, H. Okawa, T. Enoki, J.-M. Latour, J. Am. Chem. Soc. 116, 11566 (1994);M. Ohba, N. Fukita, H. Okawa, J. Chem. Soc., Dalton Trans. 1733 (1997);M.L. Kahn, C. Mathonière, O. Kahn, Inorg. Chem. 38, 3692 (1999);H.=Okawa, M. Ohba, Bull. Chem. Soc. Jpn. 75, 1191 (2002);M.S. El Fallah, J. Ribas, X. Solans, M. Font-Bardia, New J. Chem. 27, 895 (2003);Y.S. You, D. Kim, Y. Do, S.J. Oh, Ch.S. Hong, Inorg. Chem. 43, 6899 (2004)
• 4. M.E. Fisher, Phys. Rev. 113, 969 (1959)

Identifiers

DOI

10.12693/APhysPolA.113.445