The antiferromagnetic Ising model in a magnetic field: Linked‐cluster expansion analysis

1993 ◽  
Vol 73 (10) ◽  
pp. 5485-5487 ◽  
Author(s):  
C. D. Wentworth ◽  
Y. L. Wang
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Cluster Expansion ◽  
Antiferromagnetic Ising Model

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.

Sign in / Sign up

Export Citation Format

Share Document