The XY model with vision cone: non-reciprocal vs. reciprocal interactions

Autor:	Bandini, Gabriele, Venturelli, Davide, Loos, Sarah A. M., Jelic, Asja, Gambassi, Andrea
Rok vydání:	2024
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Soft Condensed Matter
Druh dokumentu:	Working Paper
Popis:	We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal implementations of these interactions. The corresponding energy involves couplings that depend non-trivially on the system's configuration, leading to both long-range and quasi-long-range ordered phases at low temperatures. Our results demonstrate that non-reciprocity is not essential for achieving long-range order at low temperatures. Using symmetry arguments, we provide a theoretical framework to explain these findings, and additionally we uncover an unexpected order-by-disorder transition. Comment: 19+4 pages, 13+3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.19297 Zobrazit plný text záznamu View this record from Arxiv