Phase transition between quantum and classical regimes for the escape rate of a biaxial spin system

1999 ◽  
Vol 59 (18) ◽  
pp. 11847-11851 ◽  
Author(s):  
Gwang-Hee Kim
1998 ◽  
Vol 57 (21) ◽  
pp. 13639-13654 ◽  
Author(s):  
D. A. Garanin ◽  
X. Martínez Hidalgo ◽  
E. M. Chudnovsky

2007 ◽  
Vol 310 (2) ◽  
pp. 1352-1354 ◽  
Author(s):  
F. Yamada ◽  
T. Ono ◽  
M. Fujisawa ◽  
H. Tanaka ◽  
T. Sakakibara

2006 ◽  
Vol 75 (6) ◽  
pp. 064703 ◽  
Author(s):  
Kenji Goto ◽  
Masashi Fujisawa ◽  
Hidekazu Tanaka ◽  
Yoshiya Uwatoko ◽  
Akira Oosawa ◽  
...  

2002 ◽  
Vol 17 (12) ◽  
pp. 751-761 ◽  
Author(s):  
G. KOUTSOUMBAS ◽  
G. K. SAVVIDY

We perform Monte–Carlo simulations of a three-dimensional spin system with a Hamiltonian which contains only four-spin interaction term. This system describes random surfaces with extrinsic curvature – gonihedric action. We study the anisotropic model when the coupling constants βS for the space-like plaquettes and βT for the transverse-like plaquettes are different. In the two limits βS = 0 and βT = 0 the system has been solved exactly and the main interest is to see what happens when we move away from these points towards the isotropic point, where we recover the original model. We find that the phase transition is of first order for βT = βS ≈ 0.25, while away from this point it becomes weaker and eventually turns to a crossover. The conclusion which can be drawn from this result is that the exact solution at the point βS = 0 in terms of 2D-Ising model should be considered as a good zero-order approximation in the description of the system also at the isotropic point βS = βT and clearly confirms the earlier findings that at the isotropic point the original model shows a first-order phase transition.


AIP Advances ◽  
2016 ◽  
Vol 6 (5) ◽  
pp. 055703
Author(s):  
Felipe Torres ◽  
José Rogan ◽  
Miguel Kiwi ◽  
Juan Alejandro Valdivia

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
E. M. Kessler ◽  
G. Giedke ◽  
A. Imamoglu ◽  
S. F. Yelin ◽  
M. D. Lukin ◽  
...  
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