Triangular-lattice Ising Model in a Nonzero Magnetic Field

2011 ◽  
Vol 58 (1) ◽  
pp. 5-8 ◽  
Author(s):  
Seung-Yeon Kim
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Triangular Lattice

PHASE BOUNDARY AND UNIVERSALITY OF THE TRIANGULAR LATTICE ANTIFERROMAGNETIC ISING MODEL

1992 ◽  
Vol 06 (17) ◽  
pp. 2913-2924 ◽  
Author(s):  
JAE DONG NOH ◽  
DOOCHUL KIM
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Phase Boundary ◽  
Triangular Lattice ◽  
Central Charge ◽  
Universality Class ◽  
Zero Field ◽  
Crossover Effect ◽  
Matrix Methods ◽  
Antiferromagnetic Ising Model

Transfer matrix methods are used to locate accurate phase boundary of the triangular lattice antiferromagnetic Ising model in magnetic field. Universal quantities such as the central charge and the first few scaling dimensions are obtained along the phase boundary except near the zero field point where the crossover effect degrades convergence. Numerical results are fully consistent with the operator content of the 3-state Potts model indicating that whole phase boundary belongs to the 3-state Potts universality class.

Phase transitions in the Ising model on a layered triangular lattice in a magnetic field

2020 ◽  
Vol 555 ◽  
pp. 124530
Author(s):  
A.K. Murtazaev ◽  
M.K. Badiev ◽  
M.K. Ramazanov ◽  
M.A. Magomedov
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Ising Model ◽  
Triangular Lattice

RIGOROUS RESULTS ON THE ANISOTROPIC TRIANGULAR ISING MODEL

1991 ◽  
Vol 05 (12) ◽  
pp. 2125-2132 ◽  
Author(s):  
K. Y. LIN ◽  
F. Y. WU
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Ising Model ◽  
External Magnetic Field ◽  
Parameter Space ◽  
Triangular Lattice ◽  
Rigorous Results ◽  
Pair Interactions

We consider the Ising model on the triangular lattice with anisotropic pair interactions, staggered triplet interactions, and an external magnetic field. Using the Yang-Lee zero consideration and a star-triangle transformation which eliminates the triplet interactions, we obtain regimes in the parameter space which are free of phase transitions.

Phase transitions in the Heisenberg model on a layered triangular lattice in a magnetic field

2021 ◽  
pp. 1-10
Author(s):  
Akai Murtazaev ◽  
Magomedzagir Badiev ◽  
Magomedsheykh Ramazanov ◽  
Magomed Magomedov
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Triangular Lattice ◽  
Heisenberg Model
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