Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-03-21
Phys. Rev. B 64, 224408 (2001).
Physics
Condensed Matter
Disordered Systems and Neural Networks
14 pages, 4 figures
Scientific paper
10.1103/PhysRevB.64.224408
We study the long time dynamics of quantum spin glasses of rotors using the non-equilibrium Schwinger-Keldysh formalism. These models are known to have a quantum phase transition from a paramagnetic to a spin glass phase, which we approach by looking at the divergence of the spin relaxation rate at the transition point. In the aging regime, we determine the dynamical equations governing the time evolution of the spin response and correlation functions, and show that all terms in the equations that arise solely from quantum effects are irrelevant at long times under time reparametrization group (RpG) transformations. At long times, quantum effects enter only through the renormalization of the parameters in the dynamical equations for the classical counterpart of the rotor model. Consequently, quantum effects only modify the out of equilibrium fluctuation dissipation relation (OEFDR), i.e. the ratio X between the temperature and the effective temperature, but not the form of the classical OEFDR.
Chamon Claudio
Kennett Malcolm P.
Ye Jinwu
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