DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Complete catalog of ground-state diagrams for the general three-state lattice-gas model with nearest-neighbor interactions on a square lattice

Journal Article · · Physical Chemistry Chemical Physics. PCCP
DOI: https://doi.org/10.1039/c8cp07721e · OSTI ID:1610202
 [1]; ORCiD logo [2]
  1. Florida State Univ., Tallahassee, FL (United States); DOE/OSTI
  2. Florida State Univ., Tallahassee, FL (United States); Univ. of Oslo (Norway)

Here, the ground states of the general three-state lattice-gas (equivalently, S = 1 Ising) model with nearest-neighbor interactions on a square lattice are explored in the full, five-dimensional parameter space of three interaction constants and two generalized chemical potentials or fields. The complete catalog of fifteen topologically different ground-state diagrams (zero-temperature phase diagrams), which show the regions of stability of the different ground states in the full parameter space of the model, is obtained and discussed in both lattice-gas and Ising-spin language. The results extend those of a recent study in a reduced parameter space, which identified six topologically different ground-state diagrams.

Research Organization:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Organization:
National Science Foundation (NSF); Research Council of Norway; USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-92ER40750
OSTI ID:
1610202
Journal Information:
Physical Chemistry Chemical Physics. PCCP, Journal Name: Physical Chemistry Chemical Physics. PCCP Journal Issue: 11 Vol. 21; ISSN 1463-9076; ISSN PPCPFQ
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (22)

Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition journal February 1944
The Hobbyhorse of Magnetic Systems: The Ising Model text January 2016
Beitrag zur Theorie des Ferromagnetismus journal February 1925
Lattice-gas models of adsorption in the double layer journal July 1996
On the possibility of first-order phase transitions in Ising systems of triplet ions with zero-field splitting journal May 1966
Three-state lattice gas on a triangular lattice as a model for multicomponent adsorption journal September 1988
Lateral interactions in catalyst poisoning journal October 1989
The classification of order-disorder transitions on surfaces journal January 1981
Lateral interactions in catalyst poisoning journal October 1989
Phase diversity in an adsorption model of an additive binary gas mixture for all sets of lateral interactions journal January 2018
Phase transitions in a lattice gas model for coadsorption journal March 1984
The hobbyhorse of magnetic systems: the Ising model journal September 2016
Mixed spin-1 and spin-2 Ising model: study of the ground states journal February 2018
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition journal February 1944
Ising Model for the λ Transition and Phase Separation in He 3 - He 4 Mixtures journal September 1971
Classification of continuous order-disorder transitions in adsorbed monolayers journal September 1978
Finite-size scaling analysis of the S=1 Ising model on the triangular lattice journal October 1988
Phase diagram for the antiferromagnetic Blume-Capel model near tricriticality journal April 1992
Charged Ising model of neutron star matter journal August 2013
Social applications of two-dimensional Ising models journal April 2008
Charged Ising Model of Neutron Star Matter text January 2012
The Hobbyhorse of Magnetic Systems: The Ising Model text January 2016