scholarly journals Form factors in the Bullough-Dodd-related models: The Ising model in a magnetic field

2012 ◽  
Vol 173 (2) ◽  
pp. 1518-1540
Author(s):  
O. V. Alekseev
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Form Factors

scholarly journals ON ISING CORRELATION FUNCTIONS WITH BOUNDARY MAGNETIC FIELD

1996 ◽  
Vol 11 (15) ◽  
pp. 2765-2782 ◽  
Author(s):  
ROBERT KONIK ◽  
ANDRÉ LECLAIR ◽  
GIUSEPPE MUSSARDO
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Differential Equations ◽  
Correlation Functions ◽  
Form Factors ◽  
Energy Operator ◽  
Massless Limit ◽  
Explicit Formulas ◽  
Boundary State ◽  
The One

Exact expressions of the boundary state and the form factors of the Ising model are used to derive differential equations for the one-point functions of the energy and magnetization operators of the model in the presence of a boundary magnetic field. We also obtain explicit formulas for the massless limit of the one-point and two-point functions of the energy operator.

THE GROUND-STATE PHASE DIAGRAMS OF THE SPIN-2 ISING MODEL

2007 ◽  
Vol 21 (31) ◽  
pp. 5265-5274 ◽  
Author(s):  
AHMET ERDİNÇ
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Phase Diagrams ◽  
Crystal Field ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Biquadratic Exchange ◽  
Model Hamiltonian

The ground-state phase diagrams are obtained for the spin-2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. Obtained phase diagrams are presented in the (Δ,J), (K,J), (Δ/J,K/J), (Δ/|J|,K/|J|), (Δ/|K|,J/|K|), (H/J,Δ/J), (H/|J|,Δ/|J|), (H/J,K/J), and (H/|J|,K/|J|) planes where J, K, Δ, and H are the bilinear, biquadratic exchange interactions, the single-ion crystal field, and the external magnetic field, respectively. The influence of the external magnetic field on the spin configurations is investigated.

Thermal quantum discord and classical correlations in a two-qubit Ising model under a site-dependent magnetic field

2011 ◽  
Vol 11 (6) ◽  
pp. 1931-1950 ◽  
Author(s):  
Andreas F. Terzis ◽  
Petros Androvitsaneas ◽  
Emmanuel Paspalakis
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Quantum Discord ◽  
Classical Correlations ◽  
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