Properties of the spin model above Tc on the sample cubic lattice

1975 ◽  
Vol 53 (4) ◽  
pp. 313-314 ◽  
Author(s):  
D.J. Austen ◽  
D.D. Betts
Keyword(s):  
Spin Model ◽  
Cubic Lattice

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.

scholarly journals MODIFIED TETRAHEDRON EQUATION AND RELATED 3D INTEGRABLE MODELS, II

1996 ◽  
Vol 11 (02) ◽  
pp. 313-327 ◽  
Author(s):  
H.E. BOOS
Keyword(s):  
General Model ◽  
Spin Model ◽  
Parametric Family ◽  
Layer Transfer ◽  
Transfer Matrices ◽  
Tetrahedron Equation ◽  
Cubic Lattice ◽  
Analytical Formulae ◽  
Integrable Spin ◽  
Free Parameters

This work is a continuation of Ref. 13, where the Boltzmann weights for the N-state integrable spin model on the cubic lattice has been obtained only numerically. In this paper we present the analytical formulae for this model in a particular case. Here the Boltzmann weights depend on six free parameters including the elliptic modulus. The obtained solution allows us to construct a two-parametric family of the commuting two-layer transfer matrices. The presented model is expected to be simpler for a further investigation in comparison with a more general model mentioned above.

Electron Spin Decoherence by Nuclei

2018 ◽  
Author(s):  
M. M. Glazov
Keyword(s):  
Electron Spin ◽  
Spin Dynamics ◽  
Magnetic Moments ◽  
Host Lattice ◽  
Spin Model ◽  
Relaxation Processes ◽  
Nuclear Spins ◽  
Model Calculations ◽  
Spin Decoherence ◽  
Quantum Mechanical Approach

The discussion of the electron spin decoherence and relaxation phenomena via the hyperfine interaction with host lattice spins is presented here. The spin relaxation processes processes limit the conservation time of spin states as well as the response time of the spin system to external perturbations. The central spin model, where the spin of charge carrier interacts with the bath of nuclear spins, is formulated. We also present different methods to calculate the spin dynamics within this model. Simple but physically transparent semiclassical treatment where the nuclear spins are considered as largely static classical magnetic moments is followed by more advanced quantum mechanical approach where the feedback of electron spin dynamics on the nuclei is taken into account. The chapter concludes with an overview of experimental data and its comparison with model calculations.

Elastic scattering from cubic lattice systems with paracrystalline distortion. II

1990 ◽  
Vol 41 (6) ◽  
pp. 3854-3856 ◽  
Author(s):  
Hideki Matsuoka ◽  
Hideaki Tanaka ◽  
Norio Iizuka ◽  
Takeji Hashimoto ◽  
Norio Ise
Keyword(s):  
Elastic Scattering ◽  
Lattice Systems ◽  
Cubic Lattice
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