Thermodynamics of Ising models with layered randomness: Exact solutions on square and triangular lattices

Theo M. Nieuwenhuizen; Henri Orland

doi:10.1103/physrevb.40.5094

Thermodynamics of Ising models with layered randomness: Exact solutions on square and triangular lattices

Physical Review B ◽

10.1103/physrevb.40.5094 ◽

1989 ◽

Vol 40 (7) ◽

pp. 5094-5108 ◽

Cited By ~ 5

Author(s):

Theo M. Nieuwenhuizen ◽

Henri Orland

Keyword(s):

Exact Solutions ◽

Ising Models ◽

Triangular Lattices

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Exact solutions for perpendicular susceptibilities of kagomé and decorated-kagomé Ising models

Physical Review B ◽

10.1103/physrevb.35.8601 ◽

1987 ◽

Vol 35 (16) ◽

pp. 8601-8608 ◽

Cited By ~ 13

Author(s):

J. H. Barry ◽

M. Khatun

Keyword(s):

Exact Solutions ◽

Ising Models

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Coherent-Anomaly Method in Two-Dimensional Antiferromagnetic Ising Models on Square and Triangular Lattices

Springer Proceedings in Physics - Computational Approaches in Condensed-Matter Physics ◽

10.1007/978-3-642-84821-6_37 ◽

1992 ◽

pp. 198-199

Author(s):

A. Lipowski ◽

M. Suzuki

Keyword(s):

Ising Models ◽

Two Dimensional ◽

Triangular Lattices

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The critical Binder cumulant for isotropic Ising models on square and triangular lattices

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2007/04/p04008 ◽

2007 ◽

Vol 2007 (04) ◽

pp. P04008-P04008 ◽

Cited By ~ 29

Author(s):

W Selke

Keyword(s):

Ising Models ◽

Triangular Lattices ◽

Binder Cumulant

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Exact solutions and infinite-order phase transitions for a general class of Ising models on the regularized Apollonian network

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2014/01/p01010 ◽

2014 ◽

Vol 2014 (1) ◽

pp. P01010 ◽

Cited By ~ 4

Author(s):

M Serva ◽

U L Fulco ◽

E L Albuquerque

Keyword(s):

Phase Transitions ◽

Exact Solutions ◽

General Class ◽

Infinite Order ◽

Ising Models

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Exact solutions to plaquette Ising models with free and periodic boundaries

Nuclear Physics B ◽

10.1016/j.nuclphysb.2016.11.005 ◽

2017 ◽

Vol 914 ◽

pp. 388-404 ◽

Cited By ~ 5

Author(s):

Marco Mueller ◽

Desmond A. Johnston ◽

Wolfhard Janke

Keyword(s):

Exact Solutions ◽

Ising Models ◽

Periodic Boundaries

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Exact Solutions on the Ground States of Ising Models in Magnetic Fields with Frustration on a Diamond Hierarchical Lattice

Physics Procedia ◽

10.1016/j.phpro.2015.12.077 ◽

2015 ◽

Vol 75 ◽

pp. 605-612 ◽

Cited By ~ 2

Author(s):

Yuhei Hirose ◽

Akihide Oguchi ◽

Yoshiyuki Fukumoto

Keyword(s):

Magnetic Fields ◽

Exact Solutions ◽

Ground States ◽

Ising Models ◽

Hierarchical Lattice ◽

Diamond Hierarchical Lattice

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Quasi Long Range Order of Defects in Frustrated Antiferromagnetic Ising Models on Spatially Anisotropic Triangular Lattices

Journal of the Physical Society of Japan ◽

10.7566/jpsj.82.073002 ◽

2013 ◽

Vol 82 (7) ◽

pp. 073002 ◽

Cited By ~ 6

Author(s):

Masahiro Sato ◽

Naoyuki Watanabe ◽

Nobuo Furukawa

Keyword(s):

Long Range ◽

Ising Models ◽

Range Order ◽

Long Range Order ◽

Triangular Lattices

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Exact solutions for Ising model odd-number correlations on the honeycomb and triangular lattices

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(82)90145-5 ◽

1982 ◽

Vol 113 (3) ◽

pp. 367-387 ◽

Cited By ~ 15

Author(s):

J.H. Barry ◽

C.H. Múnera ◽

T. Tanaka

Keyword(s):

Ising Model ◽

Exact Solutions ◽

Triangular Lattices

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Exact solutions of the Curie-Weiss, Oguchi, and other cluster Ising models

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(81)90143-6 ◽

1981 ◽

Vol 108 (2-3) ◽

pp. 473-487 ◽

Cited By ~ 1

Author(s):

R.G. Bowers

Keyword(s):

Exact Solutions ◽

Ising Models

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Exact solutions for simple spin clusters with isotropic Heisenberg exchange interactions

Journal de Chimie Physique ◽

10.1051/jcp/1993901077 ◽

1993 ◽

Vol 90 ◽

pp. 1077-1100 ◽

Cited By ~ 26

Author(s):

E Belorizky ◽

PH Fries

Keyword(s):

Exact Solutions ◽

Exchange Interactions ◽

Heisenberg Exchange ◽

Spin Clusters

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