Monte Carlo Study of the Sherrington-Kirkpatrick Spin Glass Model in a Transverse Field
On the basis of the Sherrington-Kirkpatrick (hereafter referred to as SK) model  of an Ising spin glass with infinite-range interactions, many studies have been made theoretically and by means of computer simulations . The physical picture of the spin glass which has emerged is that the phase space of the spin glass is divided into many valleys separated from one another by barriers, and one of the valleys is further subdivided into two or more valleys with decreasing temperatures. This hierarchical structure manifests a succession of micro phase transitions .
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- 9.Ya. V. Fedorov, E. F. Shender: Pis’ma. Zh. Eksp. Teor. Fiz. 34, 526 (1986)Google Scholar
- 10.T. Yamamoto, H. Ishii: (unpublished)Google Scholar
- 11.For reviews, see K. Binder, D. Stauffer: In Applications of the Monte Carlo Method in Statistical Physics, Topics Current Phys., Vol 36, ed. by K. Binder (Springer, Berlin, Heidelberg 1984), p. 1, p. 241Google Scholar
- 17.See, e.g., H. E. Stanley: Phase Transitions and Critical Phenomena (Oxford Univ. Press, London, 1971 ), p. 91Google Scholar
- 18.A weak support to such a judgement may be given by the similarity of the shape of P(t) in Fig. 4a to the correspondent obtained below Tc in the ferromagnetic model dealt in Sec. 2.1. In the latter the reverse found for N=100 disappears for N=200, showing the finite-size effect.Google Scholar
- 21.H. De Raedt: preprintGoogle Scholar