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XY model with higher-order exchange.
Milan Žukovič1, Georgii Kalagov1
1Institute of Physics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovakia.
Physical Review. E
|September 28, 2017
Summary
This study investigates a generalized XY model with higher-order interactions. It reveals a crossover in phase transitions influenced by interaction parameters and topological excitations.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- The XY model is a fundamental model in statistical mechanics for studying magnetic systems.
- Understanding phase transitions and order in systems with complex interactions is crucial.
Purpose of the Study:
- To investigate the phase transitions of a generalized XY model with infinite higher-order pairwise interactions.
- To explore the influence of interaction parameters (p, α) on the model's behavior.
- To analyze the role of topological excitations in altering transition characteristics.
Main Methods:
- Spin-wave theory
- Monte Carlo simulations
Main Results:
- A quasi-long-range-order phase at low temperatures with an algebraically decaying correlation function (exponent η).
- The exponent η is nonlinearly dependent on parameters p and α.
- A crossover from Berezinskii-Kosterlitz-Thouless to first-order transition at higher temperatures for specific parameter values.
Conclusions:
- The generalized XY model exhibits complex phase behavior.
- Topological excitations significantly impact the nature of phase transitions.
- The study provides insights into systems with competing interactions.
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