Anisotropic long-range spin systems
Year: 2016
Authors: Defenu N., Trombettoni A., Ruffo S.
Autors Affiliation: SISSA, Via Bonomea 265, I-34136 Trieste, Italy; CNR IOM DEMOCRITOS Simulat Ctr, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Sez Trieste, I-34151 Trieste, Italy.
Abstract: We consider anisotropic long-range interacting spin systems in d dimensions. The interaction between the spins decays with the distance as a power law with different exponents in different directions: We consider an exponent d(1) + sigma(1) in d(1) directions and another exponent d(2) + sigma(2) in the remaining d(2) = d – d(1) ones. We introduce a low energy effective action with nonanalytic power of the momenta. As a function of the two exponents sigma(1) and sigma(2) we show the system to have three different regimes at criticality, two where it is actually anisotropic and one where the isotropy is finally restored. We determine the phase diagram and provide estimates of the critical exponents as a function of the parameters of the system, in particular considering the case where one of the two sigma’s is fixed and the other varying. A discussion of the physical relevance of our results is also presented.
Journal/Review: PHYSICAL REVIEW B
Volume: 94 (22) Pages from: 224411-1 to: 224411-15
KeyWords: Liquid-crystals; Field-theory; Ising-model; Critical Exponents; Quantum Simulator; Critical-behavior; Lifshitz Points; Superconductivity; TransitionsDOI: 10.1103/PhysRevB.94.224411Citations: 33data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-17References taken from IsiWeb of Knowledge: (subscribers only)