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Updated: Sep 26, 2025
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Diagonal Method to Measure Synergy Among Any Number of Drugs
Published on: June 21, 2018
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XY model with competing higher-order interactions.
Milan Žukovič1, Georgii Kalagov1
1Department of Theoretical Physics and Astrophysics, Institute of Physics, Faculty of Science, P. J. Šafárik University in Košice, Park Angelinum 9, 041 54 Košice, Slovakia.
Physical Review. E
|April 16, 2022
Summary
Competing higher-order interactions (HOI) significantly alter the XY model
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- The XY model is a fundamental model in statistical mechanics.
- Understanding critical behavior requires analyzing interactions beyond simple pairwise ones.
Purpose of the Study:
- To investigate the impact of competing higher-order interactions (HOI) on the XY model's critical behavior.
- To explore how alternating signs and decaying intensities of HOI influence phase transitions.
Main Methods:
- Theoretical analysis of a generalized XY model.
- Examination of critical properties under varying numbers of HOI terms (odd/even).
Main Results:
- Odd numbers of HOI terms induce two consecutive ferromagnetic phase transitions.
- Even HOI terms can lead to two transitions, including a canted ferromagnetic phase, under specific conditions.
- Infinite HOI terms result in a single transition, with temperature tunable to near zero.
Conclusions:
- Higher-order interactions introduce rich and complex critical phenomena in the XY model.
- The parity (odd/even) of HOI terms fundamentally dictates the nature and number of phase transitions.
- Competition between HOI terms offers a mechanism to control transition temperatures.
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