Yang-Lee Edge Singularity of the Ising Model on a Honeycomb Lattice in an External Magnetic Field

2020 ◽  
Vol 77 (4) ◽  
pp. 271-276
Author(s):  
Seung-Yeon Kim
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Honeycomb Lattice ◽  
Edge Singularity

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.

GENERAL 8-VERTEX MODEL ON THE HONEYCOMB LATTICE: EQUIVALENCE WITH AN ISING MODEL

1990 ◽  
Vol 04 (05) ◽  
pp. 311-316 ◽  
Author(s):  
K. Y. LIN ◽  
F. Y. WU
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Honeycomb Lattice ◽  
Vertex Model ◽  
Independent Vertex ◽  
Anisotropic Interactions ◽  
Complex Magnetic Field

It is shown that the general 8-vertex model on the honeycomb lattice is always reducible to an Ising model in a nonzero but generally complex magnetic field. In the most general case of the staggered 8-vertex model characterized by 16 independent vertex weights, the equivalent Ising model has three anisotropic interactions and a staggered magnetic field which assumes two different values on the two sublattices.

LATTICE ALGEBRAS AND THE HIDDEN SYMMETRY OF THE 2D ISING MODEL IN A MAGNETIC FIELD

1991 ◽  
Vol 06 (28) ◽  
pp. 5127-5153 ◽  
Author(s):  
DAN LEVY
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Lattice Models ◽  
Natural Generalization ◽  
Xxz Model ◽  
Affine Hecke Algebra ◽  
Finite Dimensional ◽  
Hidden Symmetry ◽  
Boundary Terms

Lattice algebras are defined and used to study the symmetries of 2D lattice models. New and interesting examples of such algebras are provided by the affine Hecke algebra, owing to the possibility of constructing braid generators out of its generators. I propose an Ansatz for the braid generators and derive some solutions. A particular finite-dimensional quotient is shown to be a natural generalization of the Temperley-Lieb-Jones algebra. It is used to give a unified picture of known and unknown symmetries of the spin-½ xxz model with boundary terms. The Ising model in an external magnetic field is also a representation of this quotient.

scholarly journals Entanglement in a two-qubit Ising model under a site-dependent external magnetic field

2004 ◽  
Vol 333 (5-6) ◽  
pp. 438-445 ◽  
Author(s):  
Andreas F. Terzis ◽  
Emmanuel Paspalakis
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
A Site

scholarly journals Photonic band structure evolution of a honeycomb lattice in the presence of an external magnetic field

2009 ◽  
Vol 105 (3) ◽  
pp. 034303 ◽  
Author(s):  
C. A. Duque ◽  
N. Porras-Montenegro ◽  
S. B. Cavalcanti ◽  
L. E. Oliveira
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Band Structure ◽  
Structure Evolution ◽  
Honeycomb Lattice ◽  
Photonic Band Structure ◽  
Photonic Band

THE COMPENSATION BEHAVIOR AND INITIAL SUSCEPTIBILITIES OF A MIXED-SPIN HEISENBERG FERRIMAGNETIC SYSTEM IN AN EXTERNAL MAGNETIC FIELD

2007 ◽  
Vol 21 (07) ◽  
pp. 1077-1087 ◽  
Author(s):  
JUN LI ◽  
AN DU ◽  
GUOZHU WEI
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Transition Temperature ◽  
External Magnetic Field ◽  
Green Function ◽  
Compensation Point ◽  
Function Technique ◽  
Honeycomb Lattice ◽  
Mixed Spin ◽  
Compensation Behavior

The magnetic properties of a mixed spin-2 and spin-5 / 2 Heisenberg ferrimagnetic system on a layered honeycomb lattice are investigated theoretically by a multisublattice Green-function technique which takes into account the quantum nature of Heisenberg spins. We calculate the magnetization and the compensation temperature and transition temperature of the system in an external magnetic field and in a zero external magnetic field, and find that the transition temperature of the system increases on the effect of an external magnetic field, the compensation point disappears when the single-ion anisotropy is not large and there are two compensation points when the anisotropy is large. We also calculate the initial susceptibilities of the system.

Sign in / Sign up

Export Citation Format

Share Document