One-dimensional Ising chain with generalized molecular field

1979 ◽  
Vol 12 (2) ◽  
pp. 135-139 ◽  
Author(s):  
G.J. Iafrate ◽  
A. Ballato ◽  
M.I. Bell
Keyword(s):  
Molecular Field ◽  
Ising Chain ◽  
One Dimensional

scholarly journals Dynamics of entanglement in a one-dimensional Ising chain

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
G. B. Furman ◽  
V. M. Meerovich ◽  
V. L. Sokolovsky
Keyword(s):  
Ising Chain ◽  
One Dimensional

scholarly journals Quantum Quench in an Atomic One-Dimensional Ising Chain

2013 ◽  
Vol 111 (5) ◽  
Author(s):  
F. Meinert ◽  
M. J. Mark ◽  
E. Kirilov ◽  
K. Lauber ◽  
P. Weinmann ◽  
...  
Keyword(s):  
Ising Chain ◽  
One Dimensional ◽  
Quantum Quench

scholarly journals QUANTUM CORNER — TRANSFER MATRIX DMRG

2008 ◽  
Vol 19 (08) ◽  
pp. 1145-1161 ◽  
Author(s):  
ERIK BARTEL ◽  
ANDREAS SCHADSCHNEIDER
Keyword(s):  
Thermal Properties ◽  
Transfer Matrix ◽  
Heisenberg Model ◽  
Quantum Systems ◽  
Test Cases ◽  
The Novel ◽  
Simple Test ◽  
Ising Chain ◽  
One Dimensional ◽  
Classical Systems

We propose a new method for the calculation of thermodynamic properties of one-dimensional quantum systems by combining the TMRG approach with the corner transfer-matrix method. The corner transfer-matrix DMRG method brings reasonable advantage over TMRG for classical systems. We have modified the concept for the calculation of thermal properties of one-dimensional quantum systems. The novel QCTMRG algorithm is implemented and used to study two simple test cases, the classical Ising chain and the isotropic Heisenberg model. In a discussion, the advantages and challenges are illuminated.

scholarly journals Unusual magnetic properties induced by local structure in a quasi-one-dimensional Ising chain system:α-CoV2O6

2012 ◽  
Vol 85 (22) ◽  
Author(s):  
Bongjae Kim ◽  
Beom Hyun Kim ◽  
Kyoo Kim ◽  
Hong Chul Choi ◽  
Sang-Yeon Park ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Local Structure ◽  
Ising Chain ◽  
One Dimensional

scholarly journals Coexistence of coarsening and mean field relaxation in the long-range Ising chain

2021 ◽  
Vol 10 (5) ◽  
Author(s):  
Federico Corberi ◽  
Alessandro Iannone ◽  
Manoj Kumar ◽  
Eugenio Lippiello ◽  
Paolo Politi
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Characteristic Time ◽  
Opposite Sign ◽  
Mean Field ◽  
Ising Chain ◽  
One Dimensional ◽  
Dynamical Scaling ◽  
Long Range Interactions ◽  
The One

We study the kinetics after a low temperature quench of the one-dimensional Ising model with long range interactions between spins at distance rr decaying as r^{-\alpha}r−α. For \alpha =0α=0, i.e. mean field, all spins evolve coherently quickly driving the system towards a magnetised state. In the weak long range regime with \alpha >1α>1 there is a coarsening behaviour with competing domains of opposite sign without development of magnetisation. For strong long range, i.e. 0<\alpha <10<α<1, we show that the system shows both features, with probability P_\alpha (N)Pα(N) of having the latter one, with the different limiting behaviours \lim _{N\to \infty}P_\alpha (N)=0limN→∞Pα(N)=0 (at fixed \alpha<1α<1) and \lim _{\alpha \to 1}P_\alpha (N)=1limα→1Pα(N)=1 (at fixed finite NN). We discuss how this behaviour is a manifestation of an underlying dynamical scaling symmetry due to the presence of a single characteristic time \tau _\alpha (N)\sim N^\alphaτα(N)∼Nα.

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