Random transverse Ising spin chain and random walks
نویسندگان
چکیده
منابع مشابه
Random transverse Ising spin chain and random walks
We study the critical and off-critical ~Griffiths-McCoy! regions of the random transverse-field Ising spin chain by analytical and numerical methods and by phenomenological scaling considerations. Here we extend previous investigations to surface quantities and to the ferromagnetic phase. The surface magnetization of the model is shown to be related to the surviving probability of an adsorbing ...
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We study numerically the critical region and the disordered phase of the random transverse-field Ising chain. By using a mapping of Lieb, Schultz, and Mattis to noninteracting fermions, we can obtain a numerically exact solution for rather large system sizes, L<128. Our results confirm the striking predictions of earlier analytical work and, in addition, give results for some probability distri...
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In this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4), ferromagnetic Ising system consisting of magnetic atoms with spin-1. This study is done using the effectivefield theory (EFT) with correlations method. The equations are derived using...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 1998
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.57.11404