Ising Model on Planar Decorated Lattices. Frustrations and Their Influence on Phase Transitions
Модель Изинга на плоских декорированных решётках: фрустрация и её влияние на фазовые переходы
2019-12-01
SCID: 54.1/jwqnc4s6
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Ising modelfrustration effectsheat capacity splittingphase transitionsplanar decorated lattices
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Abstract (AI)
Abstract We discuss in the present work the thermodynamic properties of Ising model on several decorated two-dimensional lattices: square, triangular, honeycomb, and kagome. When compared with undecorated lattices the decorated ones show a plethora of new remarkable properties. Among them, a rich variety of frustration effects, the suppression and restoration or creation of phase transitions, multiple phase transitions, partial orderings, several kinds of heat capacity splitting, etc. Possible arbitrary number of decorating spins in a lattice unit cell conditions the richness of phenomena.
Key Findings
1
Allowing an arbitrary number of decorating spins per unit cell substantially increases the range of possible phenomena.
2
Decorating lattices can suppress, restore, or create phase transitions, including multiple phase transitions.
3
Decoration introduces diverse frustration effects absent or less prominent in corresponding undecorated lattices.
4
The models exhibit partial ordering and several forms of heat-capacity splitting.
5
The study analyzes thermodynamic properties of Ising models on decorated square, triangular, honeycomb, and kagome lattices.
Research Object
Ising models on decorated two-dimensional square, triangular, honeycomb, and kagome lattices
Research Subject
Thermodynamic properties and the effects of frustration, decorating-spin number, and lattice decoration on phase transitions, partial ordering, and heat-capacity splitting
Publication Details
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2019-12-01
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