Abstract
The type of order-disorder phase transition of local Ising-type variables
depends on the range of the interaction. In the case of short-range interaction
the universality class has been well understood. The case of dipole-dipole
interaction which is a kind of long range has been also studied extensively.
Recently, the property of the spin-crossover phase transition has been
studied in detail.1,2
In order to explain the nature of cooperative property,
models of Ising type variables with interaction have been introduced,
and the structure of ordering processes has been well explained.
However, the most probable origin of the interaction between the spin states,
i.e., the high spin and low spin, is the
elastic interaction among distortions of the lattice due to the
change of the volume of the molecules.3,4
We study the critical nature of the elastic-interaction-mediated phase transition.
There, the positions of spin change continuously and the size of each spin changes between two stable values with different energy and degeneracy.
This model shows a kind of order-disorder phase transition, but the critical
property is not known and we expect a new type of universality class.
We will estimate the critical properties of the model through the temperature and
pressure dependences. 5
1) S. Miyashita, Y. Konishi, H. Tokoro, M. Nishino, K. Boukheddaden and F. Varret,
Prog. Theor. Phys. 114, 719-735 (2005).\\
2) Y. Konishi, H. Tokoro, M. Nishino and S. Miyashita,
J. Phys. Soc. J. 75, 114603 (2006).\\
3) M. Nishino, K. Boukheddaden, Y. Konishi, and S. Miyashita, unpublished.\\
4) Y. Konishi, M. Nishino and S. Miyashita, in preparation.\\
5) S. Miyashita,Y. Konishi, and M. Nishino, in preparation.
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