TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.4.135
TI  - Two-dimensional Ising and Potts model with long-range bond disorder: A renormalization group approach
PY  - 2023/10/04
UR  - https://scipost.org/SciPostPhys.15.4.135
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 4
SP  - 135
A1  - Chippari, Francesco
AU  - Picco, Marco
AU  - Santachiara, Raoul
AB  - In this paper we provide new analytic results on two-dimensional $q$-Potts models ($q ≥ 2$) in the presence of bond disorder correlations which decay algebraically with distance with exponent $a$. In particular, our results are valid for the long-range bond disordered Ising model ($q=2$). We implement a renormalization group perturbative approach based on conformal perturbation theory. We extend to the long-range case the RG scheme used in [V. Dotsenko et al., Nucl. Phys. B 455 701-23] for the short-range disorder. Our approach is based on a $2$-loop order double expansion in the positive parameters $(2-a)$ and $(q-2)$. We will show that the Weinrib-Halperin conjecture for the long-range thermal exponent can be violated for a non-Gaussian disorder. We compute the central charges of the long-range fixed points finding a very good agreement with numerical measurements.
ER  -

@Article{10.21468/SciPostPhys.15.4.135,
	title={{Two-dimensional Ising and Potts model with long-range bond disorder: A renormalization group approach}},
	author={Francesco Chippari and Marco Picco and Raoul Santachiara},
	journal={SciPost Phys.},
	volume={15},
	pages={135},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.4.135},
	url={https://scipost.org/10.21468/SciPostPhys.15.4.135},
}