Towards elucidation of zero-temperature criticality of Ising model on 2d DT
High Energy Physics - Theory
2025-07-22 v3 Statistical Mechanics
General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an interesting phase diagram and the physics at the zero temperature is quite sensitive about how we cool down the system. We show the existence of a continuous parameter that characterizes the way we approach the zero-temperature critical point and it may enter in a critical exponent.
Keywords
Cite
@article{arxiv.2003.08524,
title = {Towards elucidation of zero-temperature criticality of Ising model on 2d DT},
author = {Jan Ambjørn and Yuki Sato and Tomo Tanaka},
journal= {arXiv preprint arXiv:2003.08524},
year = {2025}
}
Comments
20 pages, 4 figures; v2: minor corrections; Introduction and Discussion expanded; v3: minor corrections