# Z(3) criticality in three dimensions: study of extended Potts models

Gavai RV, Karsch F (1992) *Physical Review, B* 46(2): 944-954.

Download

*Journal Article*|

*Published*|

*English*

Author

Gavai, R. V.
;
Karsch, Frithjof

^{UniBi}Abstract

We investigate numerically the three-dimensional three-state Potts models with nearest-neighbor (NN) ferromagnetic coupling and next-nearest-neighbor (NNN) antiferromagnetic coupling of relative strength-gamma on L3 lattices with L = 12, 16, 20, 32, and 40. For all the gamma-values that we studied, 0.0 less-than-or-equal-to gamma less-than-or-equal-to 0.8, we find indications of a first-order phase transition between the ordered and disordered phases. In the neighborhood of gamma = 0.25, the latent heat becomes rather small, making it necessary to use still larger lattices to rule out a higher-order phase transition at gamma = 0.25. We also studied the boundary regimes of the three different ordered phases and find no criticality along them, thus suggesting a lack of criticality in these extended Potts models.

Publishing Year

ISSN

eISSN

PUB-ID

### Cite this

Gavai RV, Karsch F. Z(3) criticality in three dimensions: study of extended Potts models.

*Physical Review, B*. 1992;46(2):944-954.Gavai, R. V., & Karsch, F. (1992). Z(3) criticality in three dimensions: study of extended Potts models.

*Physical Review, B*,*46*(2), 944-954. doi:10.1103/PhysRevB.46.944Gavai, R. V., and Karsch, F. (1992). Z(3) criticality in three dimensions: study of extended Potts models.

*Physical Review, B*46, 944-954.Gavai, R.V., & Karsch, F., 1992. Z(3) criticality in three dimensions: study of extended Potts models.

*Physical Review, B*, 46(2), p 944-954. R.V. Gavai and F. Karsch, “Z(3) criticality in three dimensions: study of extended Potts models”,

*Physical Review, B*, vol. 46, 1992, pp. 944-954. Gavai, R.V., Karsch, F.: Z(3) criticality in three dimensions: study of extended Potts models. Physical Review, B. 46, 944-954 (1992).

Gavai, R. V., and Karsch, Frithjof. “Z(3) criticality in three dimensions: study of extended Potts models”.

*Physical Review, B*46.2 (1992): 944-954.**All files available under the following license(s):**

**Copyright Statement:**

**This Item is protected by copyright and/or related rights.**[...]

**Main File(s)**

File Name

Access Level

Open Access

This data publication is cited in the following publications:

This publication cites the following data publications:

### 18 References

Data provided by Europe PubMed Central.

AUTHOR UNKNOWN,

*nucl phys*b318(), 1989

AUTHOR UNKNOWN,

*phys lett*129b(), 1983

AUTHOR UNKNOWN,

*nucl phys b (ps)*17(), 1990

AUTHOR UNKNOWN,

*nucl phys*b340(), 1990

AUTHOR UNKNOWN,

*nucl phys*b322(), 1989

First-order phase transition in the SU(3) gauge theory at finite temperature

Yaffe,

Yaffe,

*Physical Review D*26(4), 1982
New Monte Carlo technique for studying phase transitions.

Ferrenberg AM, Swendsen RH.,

PMID: 10039183

Ferrenberg AM, Swendsen RH.,

*Phys. Rev. Lett.*61(23), 1988PMID: 10039183

Order of the deconfining phase transition in pure-gauge QCD.

Bacilieri P, Remiddi E, Todesco GM, Bernaschi M, Cabasino S, Cabibbo N, Fernandez LA, Marinari E, Paolucci P, Parisi G, Salina G, Tarancon A, Coppola F, Lombardo MP, Simeone E, Tripiccione R, Fiorentini G, Lai A, Marchesini PA, Marzano F, Rapuano F, Tross W.,

PMID: 10038833

Bacilieri P, Remiddi E, Todesco GM, Bernaschi M, Cabasino S, Cabibbo N, Fernandez LA, Marinari E, Paolucci P, Parisi G, Salina G, Tarancon A, Coppola F, Lombardo MP, Simeone E, Tripiccione R, Fiorentini G, Lai A, Marchesini PA, Marzano F, Rapuano F, Tross W.,

*Phys. Rev. Lett.*61(14), 1988PMID: 10038833

New numerical method to study phase transitions.

Lee J, Kosterlitz JM.,

PMID: 10042562

Lee J, Kosterlitz JM.,

*Phys. Rev. Lett.*65(2), 1990PMID: 10042562

Finite-size effects at temperature-driven first-order transitions.

Challa MS, Landau DP, Binder K.,

PMID: 9939842

Challa MS, Landau DP, Binder K.,

*Phys. Rev., B Condens. Matter*34(3), 1986PMID: 9939842

Is the Phase Transition of the Three-State Potts Model Continuous in Three Dimensions?

Jensen,

Jensen,

*Physical Review Letters*43(23), 1979
First-Order Phase Transitions and the Three-State Potts Model

Blöte,

Blöte,

*Physical Review Letters*43(11), 1979
Quark and Gluon Latent Heats at the Deconfinement Phase Transition in SU(3) Gauge Theory

Kogut,

Kogut,

*Physical Review Letters*51(10), 1983
Effects of frustration on the orderings of multi-valued spin systems

Caracciolo,

Caracciolo,

*Physics Letters A*126(4), 1988
On the order of the phase transition in the 3D three-state Potts model with anti-ferromagnetic next-to-nearest neighbour coupling

Gavai,

Gavai,

*Physics Letters B*233(3-4), 1989
Renormalization group study of the three state three dimensional Potts model

BERNASCHI,

BERNASCHI,

*Physics Letters B*231(1-2), 1989
Absence of Z3 criticality in a three-dimensional Potts model with extended couplings

Brown,

Brown,

*Physics Letters B*224(4), 1989
Finite-size scaling of the three-state Potts model on a simple cubic lattice

Fukugita,

Fukugita,

*Journal of Statistical Physics*59(5-6), 1990### Export

0 Marked Publications### Web of Science

View record in Web of Science®### Sources

PMID: 10003281

PubMed | Europe PMC

Inspire 318158