Spin-Glass Attractor on Tridimensional Hierarchical Lattices in the Presence of an External Magnetic Field

TL;DR

This paper investigates the behavior of Ising spin glasses on hierarchical lattices under uniform and random magnetic fields, revealing a spin-glass attractor associated with a low-temperature phase, relevant to understanding spin-glass phenomena.

Contribution

It demonstrates the existence of a spin-glass attractor in hierarchical lattices with external magnetic fields, extending understanding of spin-glass phases in complex systems.

Findings

Spin-glass attractor found in magnetic field vs. temperature plane

Attractor associated with low-temperature phase

Results relevant to the spin-glass problem scenario

Abstract

A nearest-neighbor-interaction Ising spin glass, in the presence of an external magnetic field, is studied on different hierarchical lattices that approach the cubic lattice. The magnetic field is considered as uniform, or random (following either a bimodal or a Gaussian probability distribution). In all cases, a spin-glass attractor is found, in the plane magnetic field versus temperature, associated with a low-temperature phase. The physical consequences of this attractor are discussed, in view of the present scenario of the spin-glass problem.