Random transverse-field Ising chain with long-range interactions
نویسندگان
چکیده
منابع مشابه
Numerical study of the random transverse-field Ising spin chain.
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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The magnetic analog of the Grüneisen parameter, i.e., the magnetocaloric effect, is a valuable tool for studying field-tuned quantum phase transitions. We determine the magnetic Grüneisen parameter of the one-dimensional random transverse-field Ising model, focusing on its lowtemperature behavior at the exotic infinite-randomness quantum critical point and in the associated quantum Griffiths ph...
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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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A numerically efficient transfer matrix approach is used to investigate the validity of the Tsallis scaling hypothesis in the long-range Ising spin chain with competitive interactions. In this model, the interaction between two spins i and j placed r lattice steps apart is Ji, j = (−1)ζ(i, J0/r, where ζ(i, j) is either 0 or 1. This procedure has succeeded to show the validity of the scaling hyp...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2014
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/107/47008