Upper and lower bounds for the ground state entropy of antiferromagnetic Potts models

Robert Shrock; Shan-Ho Tsai

doi:10.1103/physreve.55.6791

Upper and lower bounds for the ground state entropy of antiferromagnetic Potts models

Physical Review E ◽

10.1103/physreve.55.6791 ◽

1997 ◽

Vol 55 (6) ◽

pp. 6791-6794 ◽

Cited By ~ 28

Author(s):

Robert Shrock ◽

Shan-Ho Tsai

Keyword(s):

Lower Bounds ◽

Ground State ◽

Upper And Lower Bounds ◽

State Entropy ◽

Potts Models ◽

Ground State Entropy

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Improved lower bounds on the ground-state entropy of the antiferromagnetic Potts model

Physical Review E ◽

10.1103/physreve.91.052142 ◽

2015 ◽

Vol 91 (5) ◽

Cited By ~ 1

Author(s):

Shu-Chiuan Chang ◽

Robert Shrock

Keyword(s):

Lower Bounds ◽

Potts Model ◽

Ground State ◽

State Entropy ◽

Antiferromagnetic Potts Model ◽

Ground State Entropy

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Lower bounds and series for the ground-state entropy of the Potts antiferromagnet on Archimedean lattices and their duals

Physical Review E ◽

10.1103/physreve.56.4111 ◽

1997 ◽

Vol 56 (4) ◽

pp. 4111-4124 ◽

Cited By ~ 38

Author(s):

Robert Shrock ◽

Shan-Ho Tsai

Keyword(s):

Lower Bounds ◽

Ground State ◽

State Entropy ◽

Ground State Entropy

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Lower bounds on the ground-state entropy of the Potts antiferromagnet on slabs of the simple cubic lattice

Physical Review E ◽

10.1103/physreve.81.031134 ◽

2010 ◽

Vol 81 (3) ◽

Cited By ~ 1

Author(s):

Robert Shrock ◽

Yan Xu

Keyword(s):

Lower Bounds ◽

Ground State ◽

State Entropy ◽

Cubic Lattice ◽

Simple Cubic ◽

Simple Cubic Lattice ◽

Ground State Entropy

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Ground state entropy of Potts antiferromagnets and the approach to the two-dimensional thermodynamic limit

Physical Review E ◽

10.1103/physreve.58.4332 ◽

1998 ◽

Vol 58 (4) ◽

pp. 4332-4339 ◽

Cited By ~ 30

Author(s):

Robert Shrock ◽

Shan-Ho Tsai

Keyword(s):

Thermodynamic Limit ◽

Ground State ◽

Two Dimensional ◽

State Entropy ◽

Ground State Entropy

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Ground-state entropy of the Potts antiferromagnet on cyclic strip graphs

Journal of Physics A General Physics ◽

10.1088/0305-4470/32/17/102 ◽

1999 ◽

Vol 32 (17) ◽

pp. L195-L200 ◽

Cited By ~ 22

Author(s):

Robert Shrock ◽

Shan-Ho Tsai

Keyword(s):

Ground State ◽

State Entropy ◽

Strip Graphs ◽

Ground State Entropy

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The upper and lower bounds of the ground state energies using the variational method

American Journal of Physics ◽

10.1119/1.14930 ◽

1987 ◽

Vol 55 (11) ◽

pp. 1039-1040 ◽

Cited By ~ 1

Author(s):

Johnson Lee

Keyword(s):

Variational Method ◽

Lower Bounds ◽

Ground State ◽

Upper And Lower Bounds ◽

Ground State Energies

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Ground-state entropy of the infinite-range model of a spin glass

Journal of Physics C Solid State Physics ◽

10.1088/0022-3719/13/32/006 ◽

1980 ◽

Vol 13 (32) ◽

pp. L951-L955 ◽

Cited By ~ 5

Author(s):

F Tanaka

Keyword(s):

Spin Glass ◽

Ground State ◽

State Entropy ◽

Infinite Range ◽

Ground State Entropy

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Ground-state entropy of the random vertex-cover problem

Physical Review E ◽

10.1103/physreve.79.020103 ◽

2009 ◽

Vol 79 (2) ◽

Cited By ~ 11

Author(s):

Jie Zhou ◽

Haijun Zhou

Keyword(s):

Ground State ◽

Vertex Cover ◽

State Entropy ◽

Vertex Cover Problem ◽

Cover Problem ◽

Ground State Entropy

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Upper and Lower Bounds for the Ground State of H32+ by the Boundary Condition Method

The Journal of Chemical Physics ◽

10.1063/1.1673793 ◽

1970 ◽

Vol 53 (1) ◽

pp. 388-391 ◽

Cited By ~ 10

Author(s):

C. M. Rosenthal ◽

E. Bright Wilson

Keyword(s):

Boundary Condition ◽

Lower Bounds ◽

Ground State ◽

Upper And Lower Bounds ◽

Condition Method ◽

Boundary Condition Method

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Quantum dimer model with extensive ground-state entropy on the kagome lattice

Physical Review B ◽

10.1103/physrevb.67.214413 ◽

2003 ◽

Vol 67 (21) ◽

Cited By ~ 48

Author(s):

G. Misguich ◽

D. Serban ◽

V. Pasquier

Keyword(s):

Ground State ◽

Kagome Lattice ◽

Dimer Model ◽

State Entropy ◽

Kagomé Lattice ◽

Ground State Entropy

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