The Spin-1/2 Ising Model on the Bow-Tie Lattice as an Exactly Soluble Free-Fermion Model

• Authors: J. Strečka , L. Čanová
• Languages of publication: EN

Abstracts

EN

The spin-1/2 Ising model on the bow-tie lattice is exactly solved by establishing a precise mapping relationship with its corresponding free-fermion eight-vertex model. Ground-state and finite-temperature phase diagrams are obtained for the anisotropic bow-tie lattice with three different exchange interactions along three different spatial directions.

Keywords

EN

05.50.+q; 68.35.Rh

Discipline

• 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)
• 68.35.Rh: Phase transitions and critical phenomena

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 113
• Issue: 1
• Pages: 457-460

Dates

published

2008-01

received

2007-07-09

Contributors

author

J. Strečka

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

author

L. Čanová

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

References

• 1. R.J. Baxter, Exactly Solved Models in Statistical Mechanics, 3rd ed., Academic Press, London 1989
• 2. T. Chikyu, M. Suzuki, Progr. Theor. Phys. 22, 1242 (1987) and references cited therein
• 3. C. Fan, F.Y. Wu, Phys. Rev. B 2, 723 (1970)

Identifiers

DOI

10.12693/APhysPolA.113.457