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

Silva, Daniel; Rikvold, Per Arne
Journal article; AcceptedVersion; Peer reviewed
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AcceptedManuscript.pdf (1.671Mb)
Year
2019
Permanent link
http://urn.nb.no/URN:NBN:no-71402

CRIStin
1685061

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  • Fysisk institutt [2515]
  • CRIStin høstingsarkiv [16955]
Original version
Physical Chemistry, Chemical Physics - PCCP. 2019, 21, 6216-6223, DOI: http://dx.doi.org/10.1039/c8cp07721e
Abstract
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 [V. F. Fefelov, et al., Phys. Chem. Chem. Phys., 2018, 20, 10359–10368], which identified six topologically different ground-state diagrams.
 
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