Continuous- and first-order phase transitions in Ising anti ferromagnets with next-nearest-neighbour interactions

A. Malakis; P. Kalozoumis; Nikolaos G. Fytas

Continuous- and first-order phase transitions in Ising anti ferromagnets with next-nearest-neighbour interactions

A. Malakis, P. Kalozoumis, Nikolaos G. Fytas

Research output: Contribution to journal › Article

Abstract

Both the square and triangular Ising antiferromagnetic systems with next-nearest neighbour interactions are studied by a new efficient entropic scheme. Using the energy distribution and order parameter's fourth order cumulant it is illustrated that the two models behave quite differently, For the square model we establish strong numerical evidence showing a continuous transition scaling, whereas for the triangular model a first-order transition is verified. Our results are compared with the existing predictions and controversies in the literature.

Original language	English
Pages (from-to)	1-10
Journal	Reviews on Advanced Materials Science
Volume	14
Issue number	1
Publication status	Published - Apr 2007

Bibliographical note

The full text is not available on the repository.

Keywords

MONTE-CARLO SIMULATIONS
SQUARE-LATTICE
CRITICAL-BEHAVIOR
2ND-NEIGHBOR INTERACTIONS
VARIATIONAL APPROXIMATIONS
MODEL
1ST-NEIGHBOR
ALGORITHM
DIAGRAMS
ANTIFERROMAGNETS

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Malakis, A., Kalozoumis, P., & Fytas, N. G. (2007). Continuous- and first-order phase transitions in Ising anti ferromagnets with next-nearest-neighbour interactions. Reviews on Advanced Materials Science, 14(1), 1-10. http://apps.webofknowledge.com/InboundService.do?KeyUID=WOS%3A000246220000002&UT=WOS%3A000246220000002&IsProductCode=Yes&mode=FullRecord&product=WOS&SID=4C7VwOdFmXdcCqm6Gm9&smartRedirect=yes&SrcApp=OrcidOrg&DestFail=http%3A%2F%2Fwww.webofknowledge.com%3FDestApp%3DCEL%26DestParams%3D%253Faction%253Dretrieve%2526mode%253DFullRecord%2526product%253DCEL%2526UT%253DWOS%253A000246220000002%2526customersID%253DORCID%2526KeyUID%253DWOS%25253A000246220000002%26e%3DMH9f6QScNO9kp1xY4.LCZTNx79dLDVA35aXnjNLHyQ3rsbz5V_j9F3%26SrcApp%3DOrcidOrg%26SrcAuth%3DORCID&action=retrieve&Init=Yes&SrcAuth=ORCID&customersID=ORCID&Func=Frame

Malakis, A, Kalozoumis, P & Fytas, NG 2007, 'Continuous- and first-order phase transitions in Ising anti ferromagnets with next-nearest-neighbour interactions', Reviews on Advanced Materials Science, vol. 14, no. 1, pp. 1-10. <http://apps.webofknowledge.com/InboundService.do?KeyUID=WOS%3A000246220000002&UT=WOS%3A000246220000002&IsProductCode=Yes&mode=FullRecord&product=WOS&SID=4C7VwOdFmXdcCqm6Gm9&smartRedirect=yes&SrcApp=OrcidOrg&DestFail=http%3A%2F%2Fwww.webofknowledge.com%3FDestApp%3DCEL%26DestParams%3D%253Faction%253Dretrieve%2526mode%253DFullRecord%2526product%253DCEL%2526UT%253DWOS%253A000246220000002%2526customersID%253DORCID%2526KeyUID%253DWOS%25253A000246220000002%26e%3DMH9f6QScNO9kp1xY4.LCZTNx79dLDVA35aXnjNLHyQ3rsbz5V_j9F3%26SrcApp%3DOrcidOrg%26SrcAuth%3DORCID&action=retrieve&Init=Yes&SrcAuth=ORCID&customersID=ORCID&Func=Frame>

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abstract = "Both the square and triangular Ising antiferromagnetic systems with next-nearest neighbour interactions are studied by a new efficient entropic scheme. Using the energy distribution and order parameter's fourth order cumulant it is illustrated that the two models behave quite differently, For the square model we establish strong numerical evidence showing a continuous transition scaling, whereas for the triangular model a first-order transition is verified. Our results are compared with the existing predictions and controversies in the literature.",

keywords = "MONTE-CARLO SIMULATIONS, SQUARE-LATTICE, CRITICAL-BEHAVIOR, 2ND-NEIGHBOR INTERACTIONS, VARIATIONAL APPROXIMATIONS, MODEL, 1ST-NEIGHBOR, ALGORITHM, DIAGRAMS, ANTIFERROMAGNETS",

author = "A. Malakis and P. Kalozoumis and Fytas, {Nikolaos G.}",

note = "The full text is not available on the repository.",

year = "2007",

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language = "English",

volume = "14",

pages = "1--10",

journal = "Reviews on Advanced Materials Science",

issn = "1605-8127",

publisher = "Russian Academy of Sciences",

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T1 - Continuous- and first-order phase transitions in Ising anti ferromagnets with next-nearest-neighbour interactions

AU - Malakis, A.

AU - Kalozoumis, P.

AU - Fytas, Nikolaos G.

N1 - The full text is not available on the repository.

PY - 2007/4

Y1 - 2007/4

N2 - Both the square and triangular Ising antiferromagnetic systems with next-nearest neighbour interactions are studied by a new efficient entropic scheme. Using the energy distribution and order parameter's fourth order cumulant it is illustrated that the two models behave quite differently, For the square model we establish strong numerical evidence showing a continuous transition scaling, whereas for the triangular model a first-order transition is verified. Our results are compared with the existing predictions and controversies in the literature.

AB - Both the square and triangular Ising antiferromagnetic systems with next-nearest neighbour interactions are studied by a new efficient entropic scheme. Using the energy distribution and order parameter's fourth order cumulant it is illustrated that the two models behave quite differently, For the square model we establish strong numerical evidence showing a continuous transition scaling, whereas for the triangular model a first-order transition is verified. Our results are compared with the existing predictions and controversies in the literature.

KW - MONTE-CARLO SIMULATIONS

KW - SQUARE-LATTICE

KW - CRITICAL-BEHAVIOR

KW - 2ND-NEIGHBOR INTERACTIONS

KW - VARIATIONAL APPROXIMATIONS

KW - MODEL

KW - 1ST-NEIGHBOR

KW - ALGORITHM

KW - DIAGRAMS

KW - ANTIFERROMAGNETS

M3 - Article

SN - 1605-8127

VL - 14

SP - 1

EP - 10

JO - Reviews on Advanced Materials Science

JF - Reviews on Advanced Materials Science

IS - 1

ER -

Continuous- and first-order phase transitions in Ising anti ferromagnets with next-nearest-neighbour interactions

Abstract

Bibliographical note

Keywords

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