Nonlinear and spin-glass susceptibilities of three site-diluted systems

Abstract

The nonlinear magnetic ${\chi }_3$ and spin-glass ${\chi }_{sg}$ susceptibilities in zero applied field are obtained, from tempered Monte Carlo simulations, for three different spin glasses (SGs) of Ising spins with quenched site disorder. We find that the relation $-T^3{\chi }_3={\chi }_{sg}-2/3$ ($T$ is the temperature), which holds for Edwards-Anderson SGs, is approximately fulfilled in canonical-like SGs. For nearest neighbor antiferromagnetic interactions, on a 0.4 fraction of all sites in fcc lattices, as well as for spatially disordered Ising dipolar (DID) systems, $-T^3{\chi }_3$ and ${\chi }_{sg}$ appear to diverge in the same manner at the critical temperature $T_{sg}$. However, $-T^3{\chi }_3$ is smaller than ${\chi }_{sg}$ by over two orders of magnitude in the diluted fcc system. In DID systems, $-T^3{\chi }_3/{\chi }_{sg}$ is very sensitive to the systems aspect ratio. Whereas near $T_{sg}$, ${\chi }_{sg}$ varies by approximately a factor of 2 as system shape varies from cubic to long-thin-needle shapes, ${\chi }_3$ sweeps over some four decades.

7 pages, 7 figures

References in corpus (12)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Spin glass transition in geometrically frustrated antiferromagnets with weak disorder
• Make life simple: unleash the full power of the parallel tempering algorithm
• Quantum and Classical Glass Transitions in $LiH{o}_x{Y}_{1-x}{F}_4$
• Behavior of Ising Spin Glasses in a Magnetic Field
• Absence of Conventional Spin-Glass Transition in the Ising Dipolar System LiHo_xY_{1-x}F_4
• Strengths and Weaknesses of Parallel Tempering
• Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4
• Phase diagram of the dilute magnet LiHo_xY_{1-x}F_4
• Monte Carlo study of the spin-glass phase of the site-diluted dipolar Ising model
• Low-temperature properties of the dilute dipolar magnet LiHo_xY_(1-x)F_4
• Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles