Sublattice-ordered phases of Griffiths's three-component model

Vicente A Talanquer, C. Varea, A. Robledo

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We describe the essential features of the mean-field phase diagram for the spin-1 Ising model with general nearest-neighbor interaction when sublattice ordering is made explicit. The phase diagram (in five-dimensional field space) can be classified into 84 zones where uniform with ordered phase coexistence is identified and multicritical behavior is determined. This generalized Ising model was studied extensively, in its ferromagnetic version, by Furman, Dattagupta, and Griffiths towards the end of the last decade. Here we complement that study with the antiferromagnetic phase behavior associated with the same model. Two different mappings between uniform and ordered phase existence conditions facilitated our task and indicated the interconnections that exist between ferromagnetic and antiferromagnetic properties in the model. Known features, like the shield region, appear reproduced in other energy-parameter locations, but also new features occur, such as additional tricritical and fourth-order critical lines connected by sixth-order critical points.

Original languageEnglish (US)
Pages (from-to)7016-7029
Number of pages14
JournalPhysical Review B
Volume39
Issue number10
DOIs
StatePublished - 1989
Externally publishedYes

Fingerprint

Ising model
sublattices
Phase diagrams
phase diagrams
Phase behavior
complement
critical point
interactions
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Sublattice-ordered phases of Griffiths's three-component model. / Talanquer, Vicente A; Varea, C.; Robledo, A.

In: Physical Review B, Vol. 39, No. 10, 1989, p. 7016-7029.

Research output: Contribution to journalArticle

Talanquer, Vicente A ; Varea, C. ; Robledo, A. / Sublattice-ordered phases of Griffiths's three-component model. In: Physical Review B. 1989 ; Vol. 39, No. 10. pp. 7016-7029.
@article{5385beac8098450499d9da4cfdabed40,
title = "Sublattice-ordered phases of Griffiths's three-component model",
abstract = "We describe the essential features of the mean-field phase diagram for the spin-1 Ising model with general nearest-neighbor interaction when sublattice ordering is made explicit. The phase diagram (in five-dimensional field space) can be classified into 84 zones where uniform with ordered phase coexistence is identified and multicritical behavior is determined. This generalized Ising model was studied extensively, in its ferromagnetic version, by Furman, Dattagupta, and Griffiths towards the end of the last decade. Here we complement that study with the antiferromagnetic phase behavior associated with the same model. Two different mappings between uniform and ordered phase existence conditions facilitated our task and indicated the interconnections that exist between ferromagnetic and antiferromagnetic properties in the model. Known features, like the shield region, appear reproduced in other energy-parameter locations, but also new features occur, such as additional tricritical and fourth-order critical lines connected by sixth-order critical points.",
author = "Talanquer, {Vicente A} and C. Varea and A. Robledo",
year = "1989",
doi = "10.1103/PhysRevB.39.7016",
language = "English (US)",
volume = "39",
pages = "7016--7029",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "10",

}

TY - JOUR

T1 - Sublattice-ordered phases of Griffiths's three-component model

AU - Talanquer, Vicente A

AU - Varea, C.

AU - Robledo, A.

PY - 1989

Y1 - 1989

N2 - We describe the essential features of the mean-field phase diagram for the spin-1 Ising model with general nearest-neighbor interaction when sublattice ordering is made explicit. The phase diagram (in five-dimensional field space) can be classified into 84 zones where uniform with ordered phase coexistence is identified and multicritical behavior is determined. This generalized Ising model was studied extensively, in its ferromagnetic version, by Furman, Dattagupta, and Griffiths towards the end of the last decade. Here we complement that study with the antiferromagnetic phase behavior associated with the same model. Two different mappings between uniform and ordered phase existence conditions facilitated our task and indicated the interconnections that exist between ferromagnetic and antiferromagnetic properties in the model. Known features, like the shield region, appear reproduced in other energy-parameter locations, but also new features occur, such as additional tricritical and fourth-order critical lines connected by sixth-order critical points.

AB - We describe the essential features of the mean-field phase diagram for the spin-1 Ising model with general nearest-neighbor interaction when sublattice ordering is made explicit. The phase diagram (in five-dimensional field space) can be classified into 84 zones where uniform with ordered phase coexistence is identified and multicritical behavior is determined. This generalized Ising model was studied extensively, in its ferromagnetic version, by Furman, Dattagupta, and Griffiths towards the end of the last decade. Here we complement that study with the antiferromagnetic phase behavior associated with the same model. Two different mappings between uniform and ordered phase existence conditions facilitated our task and indicated the interconnections that exist between ferromagnetic and antiferromagnetic properties in the model. Known features, like the shield region, appear reproduced in other energy-parameter locations, but also new features occur, such as additional tricritical and fourth-order critical lines connected by sixth-order critical points.

UR - http://www.scopus.com/inward/record.url?scp=33751349845&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751349845&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.39.7016

DO - 10.1103/PhysRevB.39.7016

M3 - Article

AN - SCOPUS:33751349845

VL - 39

SP - 7016

EP - 7029

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 10

ER -