Nearest-neighbor Ising antiferromagnet on the fcc lattice: Evidence for multicritical behavior

1996 ◽  
Vol 53 (5) ◽  
pp. 2345-2351 ◽  
Author(s):  
S. Kämmerer ◽  
B. Dünweg ◽  
K. Binder ◽  
M. d’Onorio de Meo
Keyword(s):  
Nearest Neighbor ◽  
Fcc Lattice ◽  
Ising Antiferromagnet

SIMULATION OF A MULTICRITICAL FCC ISING ANTIFERROMAGNET

1996 ◽  
Vol 07 (06) ◽  
pp. 857-861
Author(s):  
D. RENNÉ
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
External Magnetic Field ◽  
Triple Point ◽  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Multicritical Point ◽  
Fcc Lattice ◽  
Ising Antiferromagnet ◽  
Open Question

Inspired by the work by Kämmerer, Dünweg, Binder, and d'Onorio de Meo we investigated the spin-[Formula: see text] Ising antiferromagnet on a fcc lattice in a homogeneous external magnetic field H with uniform nearest-neighbor interaction J by Monte Carlo simulations. In order to answer the open question whether this system exhibits a triple point or a multicritical point for positive H, we mainly studied lattices with 4 · 323 and 4 · 723 spins. We found a multicritical point at (Hc, kBTc) = (3.49 ± 0.02, 1.02 ± 0.01) J in the thermodynamic limit.

Ground states of a ternary fcc lattice model with nearest- and next-nearest-neighbor interactions

1994 ◽  
Vol 49 (1) ◽  
pp. 1-7 ◽  
Author(s):  
G. Ceder ◽  
G. D. Garbulsky ◽  
D. Avis ◽  
K. Fukuda
Keyword(s):  
Lattice Model ◽  
Nearest Neighbor ◽  
Ground States ◽  
Fcc Lattice

Ground State Analysis on the Fcc Lattice With Four Pair Interactions

1992 ◽  
Vol 291 ◽  
Author(s):  
Gerardo D. Garbulsky ◽  
Patrick D. Tepesch ◽  
Gerbrand Ceder
Keyword(s):  
Ground State ◽  
Nearest Neighbor ◽  
Binary Alloys ◽  
Neighbor Distance ◽  
State Problem ◽  
Fcc Lattice ◽  
Order Of Magnitude ◽  
Nearest Neighbor Distance ◽  
Ground State Structures ◽  
Pair Interactions

ABSTRACTWe have partially solved the ground state problem of binary alloys on the fcc lattice with pair interactions up to the fourth nearest neighbor distance. Our results extend the study presented by Kanamori and Kakehashi [1], releasing the constraint they imposed on the nearest neighbor correlation. The solution we present increases the number of possible ground state structures by an order of magnitude with respect to previous results. We have applied both the polyhedron and the enumeration method. The latter proved more powerful when including interactions beyond the second nearest neighbor distance.

Generation of low tehmperature series for Ising models with nearest and next nearest neighbor interactions

1976 ◽  
Vol 54 (16) ◽  
pp. 1646-1650 ◽  
Author(s):  
M. Plischke ◽  
C. F. S. Chan
Keyword(s):  
Low Temperature ◽  
Nearest Neighbor ◽  
Tricritical Point ◽  
Ising Models ◽  
Temperature Data ◽  
Temperature Series ◽  
Bcc Lattice ◽  
Special Cases ◽  
Ising Antiferromagnet ◽  
Ferromagnetic Interactions

We have generalized the code method of Sykes et al. and applied it to the Ising model with nearest and next nearest neighbor interactions. On the bcc lattice, we have obtained the first seven low temperature polynomials for arbitrary sign of the interactions. Special cases of this model are the Ising ferromagnet and the Ising antiferromagnet with next nearest neighbor ferromagnetic interactions. The latter system exhibits a tricritical point which we plan to study using our low temperature data and high temperature series to be obtained in the future.

Sign in / Sign up

Export Citation Format

Share Document