Critical temperature and correlation length of an elastic interaction model for spin-crossover materials

Abstract

It has previously been pointed out that the coexistence of infinite-range and short-range interactions causes a system to have a phase transition of the mean-field universality class, in which the cluster size is finite even at the critical point. In the present paper, we study this property in a model of bistable molecules, whose size changes depending on the bistable states. The molecules can move in space, interacting via an elastic interaction. It is known that due to the different sizes, an effective long-range interaction between the spins appears, and thus this model has a mean-field type of phase transition. It is found that the scaling properties of the shift of the critical temperature from the pure short-range limit in the model with infinite-range and short-range interactions hold also in the present model, regarding the ratio of the size of the two states as a control parameter for the strength of the long-range interaction. By studying the structure factor, it is shown that the dependence of the cluster size at the critical temperature also shows the same scaling properties as a previously studied model with both infinite-range and short-range interactions. We therefore conclude that these scaling relations hold universally in hybrid models with both short-range and weak long-range interactions.

References in corpus (5)

• Simple Two-Dimensional Model for the Elastic Origin of Cooperativity among Spin States of Spin-Crossover Complexes
• Realization of the mean-field universality class in spin-crossover materials
• Monte Carlo simulation of pressure-induced phase transitions in spin-crossover materials
• Critical Binder cumulant in two-dimensional anisotropic Ising models
• Crossover between a Short-range and a Long-range Ising model

Cited by in corpus (15)

• Spin-state ice in geometrically frustrated spin-crossover materials
• Effect of the short-range interaction on critical phenomena in elastic interaction systems
• Consequences of lattice mismatch for phase equilibrium in heterostructured solids
• Equilibrium, Metastability, and Hysteresis in a Model Spin-crossover Material with Nearest-neighbor Antiferromagnetic-like and Long-range Ferromagnetic-like Interactions
• Monte Carlo Simulations of the Critical Properties of a Ziff-Gulari-Barshad model of Catalytic CO Oxidation with Long-range Reactivity
• Termination of the Berezinskii-Kosterlitz-Thouless phase with a new critical universality in spin-crossover systems
• Nontrivial phase diagram for an elastic interaction model of spin crossover materials with antiferromagnetic-like short-range interactions
• Cooperative Phenomena in Spin Crossover Systems
• Multistability in an unusual phase diagram induced by the competition between antiferromagnetic-like short-range and ferromagnetic-like long-range interactions
• Multiple Coulomb phases with temperature tunable ice rules in pyrochlore spin crossover materials
• Phase diagrams and free-energy landscapes for model spin-crossover materials with antiferromagnetic-like nearest-neighbor and ferromagnetic-like long-range interactions
• Nonadditivity in Quasiequilibrium States of Spin Systems with Lattice Distortion
• Spin-state smectics in spin crossover materials
• Effect of compression in molecular spin-crossover chains
• Exact mapping from short-ranged harmonic elastic models of spin crossover materials to Ising models with interactions at all length scales