| Issue |
Europhys. Lett.
Volume 73, Number 5, March 2006
|
|
|---|---|---|
| Page(s) | 747 - 751 | |
| Section | Condensed matter: structural, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2005-10451-1 | |
| Published online | 20 January 2006 | |
The 2D Ising square lattice with nearest- and next-nearest-neighbor interactions
Solid State Physics Group and MESA+ Research Institute for Nanotechnology University of Twente - P.O. Box 217, 7500 AE Enschede, The Netherlands
Received:
5
July
2005
Accepted:
5
January
2006
An analytical expression for the boundary free energy of the Ising square
lattice with nearest- and next-nearest-neighbor interactions is derived. The
Ising square lattice with anisotropic nearest-neighbor (Jx and Jy)
and isotropic next-nearest-neighbor (Jd) interactions has an
order-disorder phase transition at a temperature T=Tc given by the
condition
.
The critical line that separates the ordered (ferromagnetic) phase from the
disordered (paramagnetic) phase is in excellent agreement with series
expansion, finite scaling of transfer matrix and Monte Carlo results. For a
vanishing next-nearest-neighbor interaction Onsager's famous result,
i.e. 
, is recaptured.
PACS: 68.35.Rh – Phase transitions and critical phenomena / 75.40.-s – Critical-point effects, specific heats, short-range order
© EDP Sciences, 2006
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