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Dynamics of the Ising Spin-Glass Model in a Transverse Field

M. J. Rozenberg·D. R. Grempel
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Abstract

We use quantum Monte Carlo methods and various analytic approximations to solve the Ising spin-glass model in a transverse field in the disordered phase. We focus on the behavior of the frequency dependent susceptibility of the system above and below the critical field . We establish the existence of an exact equivalence between this problem and the single-impurity Kondo model at the quantum critical point. Our predictions for the long-time dynamics of the model are in good agreement with experimental results on $LiHo_{0.167}Y_{0.833}F_4$.

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M. J. Rozenberg, D. R. Grempel. 1998-02-11. Dynamics of the Ising Spin-Glass Model in a Transverse Field. https://doi.org/10.1103/physrevlett.81.2550

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