Phase transition ofS=12two-leg Heisenberg spin ladder systems with a four-spin interaction

2009 ◽  
Vol 80 (1) ◽  
Author(s):  
Keigo Hijii ◽  
Kiyohide Nomura
Keyword(s):  
Phase Transition ◽  
Spin Interaction ◽  
Spin Ladder ◽  
Heisenberg Spin

Magnetic properties of a Heisenberg spin-ladder Cu2(C5H12N2)2Br4

2000 ◽  
Vol 284-288 ◽  
pp. 1599-1600 ◽  
Author(s):  
H Deguchi ◽  
S Sumoto ◽  
S Yamamoto ◽  
S Takagi ◽  
H Nojiri ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Spin Ladder ◽  
Heisenberg Spin

scholarly journals THREE-DIMENSIONAL GONIHEDRIC SPIN SYSTEM

2002 ◽  
Vol 17 (12) ◽  
pp. 751-761 ◽  
Author(s):  
G. KOUTSOUMBAS ◽  
G. K. SAVVIDY
Keyword(s):  
Phase Transition ◽  
Spin System ◽  
Order Approximation ◽  
Three Dimensional ◽  
Extrinsic Curvature ◽  
Original Model ◽  
Coupling Constants ◽  
Spin Interaction ◽  
First Order ◽  
Isotropic Point

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.

scholarly journals PHASE TRANSITION IN THE HEISENBERG FULLY-FRUSTRATED SIMPLE CUBIC LATTICE

2011 ◽  
Vol 25 (12n13) ◽  
pp. 929-936 ◽  
Author(s):  
V. THANH NGO ◽  
D. TIEN HOANG ◽  
H. T. DIEP
Keyword(s):  
Phase Transition ◽  
Statistical Physics ◽  
Spin Model ◽  
Order Transition ◽  
Heisenberg Spin ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Second Order Transition ◽  
Frustrated Spin

The phase transition in frustrated spin systems is a fascinating subject in statistical physics. We show the result obtained by the Wang–Landau flat histogram Monte Carlo simulation on the phase transition in the fully frustrated simple cubic lattice with the Heisenberg spin model. The degeneracy of the ground state of this system is infinite with two continuous parameters. We find a clear first-order transition in contradiction with previous studies which have shown a second-order transition with unusual critical properties. The robustness of our calculations allows us to conclude this issue putting an end to the 20-year long uncertainty.

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