%0 Unpublished work
%T Effect of Disorder in the Frustrated Ising FCC Antiferromagnet: Phase Diagram and Stretched Exponential Relaxation
%+ Institute of Physics of Hanoi (IOP)
%+ Laboratoire de Physique Théorique et Modélisation (LPTM - UMR 8089)
%+ Laboratoire Charles Coulomb (L2C)
%A Ngo, V. Thanh
%A Hoang, D. Tien
%A Diep, Hung T.
%A Campbell, I. A.
%8 2014-03-03
%D 2014
%Z 1309.2594
%K Ising Spin Glass
%K Stretched Exponential Relaxation
%K Phase Diagram
%K Effect of Bond Randomness on First-Order Transition
%Z PACS: 75.10.Nr ; 75.10.-b ; 75.40.Mg; 64.60-i;
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]Preprints, Working Papers, ...
%X We study the phase transition in a face-centered-cubic antiferromagnet with Ising spins as a function of the concentration $p$ of ferromagnetic bonds randomly introduced into the system. Such a model describes the spin-glass phase at strong bond disorder. Using the standard Monte Carlo simulation and the powerful Wang-Landau flat-histogram method, we carry out in this work intensive simulations over the whole range of $p$. We show that the first-order transition disappears with a tiny amount of ferromagnetic bonds, namely $p\sim 0.01$, in agreement with theories and simulations on other 3D models. The antiferromagnetic long-range order is also destroyed with a very small $p$ ($\simeq 5\%$). With increasing $p$, the system changes into a spin glass and then to a ferromagnetic phase when $p>0.65$. The phase diagram in the space ($T_c,p$) shows an asymmetry, unlike the case of the $\pm J$ Ising spin glass on the simple cubic lattice. We calculate the relaxation time around the spin-glass transition temperature and we show that the spin autocorrelation follows a stretched exponential relaxation law where the factor $b$ is equal to $\simeq 1/3$ at the transition as suggested by the percolation-based theory. This value is in agreement with experiments performed on various spin glasses and with Monte Carlo simulations on different SG models.
%G English
%2 https://hal.science/hal-00860682v2/document
%2 https://hal.science/hal-00860682v2/file/spinglass-revised.pdf
%L hal-00860682
%U https://hal.science/hal-00860682
%~ CNRS
%~ UNIV-CERGY
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ LPTM
%~ CY-TECH-SM
%~ UM-2015-2021