scholarly journals Dynamics of the one-dimensional random transverse Ising model with next-nearest-neighbor interactions

2010 ◽  
Vol 389 (2) ◽  
pp. 242-248 ◽  
Author(s):  
Xiao-Juan Yuan ◽  
Xiang-Mu Kong ◽  
Zhen-Bo Xu ◽  
Zhong-Qiang Liu
Keyword(s):  
Ising Model ◽  
Nearest Neighbor ◽  
One Dimensional ◽  
Transverse Ising Model ◽  
The One

SOME EXACT CALCULATIONS OF AN ALTERNATING TRANSVERSE ISING MODEL

2002 ◽  
Vol 16 (26) ◽  
pp. 3871-3881 ◽  
Author(s):  
HIDENORI SUZUKI ◽  
MASUO SUZUKI
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Two Dimensions ◽  
Honeycomb Lattice ◽  
Temperature Phase ◽  
One Dimensional ◽  
Transverse Ising Model ◽  
Temperature Phase Transition ◽  
Exact Calculations ◽  
The One

The alternating transverse Ising model with A and B sublattices is solved exactly in one and two dimensions, when a transverse field applied only to the A sublattice. The critical point of the honeycomb lattice is given as a function of the alternating transverse field. Moreover, the zero-temperature phase transition in the one-dimensional model with another alternating transverse field is discussed rigorously.

Quantum phase transitions in the one-dimensional transverse Ising model with second-neighbor interactions

2002 ◽  
Vol 66 (6) ◽  
Author(s):  
Paulo R. Colares Guimarães ◽  
João A. Plascak ◽  
Francisco C. Sá Barreto ◽  
João Florencio
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
One Dimensional ◽  
Transverse Ising Model ◽  
The One

A continued-fraction representation for the one-dimensional transverse Ising model

1983 ◽  
Vol 16 (1) ◽  
pp. 49-57 ◽  
Author(s):  
J A Plascak ◽  
F C Sa Barreto ◽  
A S T Pires ◽  
L L Goncalves
Keyword(s):  
Ising Model ◽  
Continued Fraction ◽  
One Dimensional ◽  
Transverse Ising Model ◽  
The One
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