scholarly journals Multicoloured Temperley–Lieb lattice models. The ground state

2006 ◽  
Vol 40 (2) ◽  
pp. 203-216
Author(s):  
A Babichenko ◽  
D Gepner
Keyword(s):  
Ground State ◽  
Lattice Models ◽  
Lieb Lattice

Walk of a Point Defect in a Model with Macroscopic Ground State Degeneracy

1997 ◽  
Vol 11 (07) ◽  
pp. 293-296 ◽  
Author(s):  
A. V. Bakaev ◽  
V. I. Kabanovich
Keyword(s):  
Point Defect ◽  
Ground State ◽  
State Energy ◽  
Hard Spheres ◽  
Three Dimensional ◽  
Lattice Models ◽  
Dimensional Lattice ◽  
Cubic Lattices ◽  
Ground State Degeneracy ◽  
Antiferromagnetic Potts Model

Walks of the point defect in the two- and three-dimensional lattice models of colored hard spheres mimicking the q-state antiferromagnetic Potts model are considered. The walks are generated by moves of neighboring vertices which conserve the ground state energy. Various "traps" confining the walks are observed, while for the models with q≥4 and q≥5 on the square and cubic lattices respectively nonvanishing probabilities that all lattice vertices are attainable in a walk are found.

Temperley-Lieb lattice models arising from quantum groups

1992 ◽  
Vol 25 (4) ◽  
pp. 1019-1019 ◽  
Author(s):  
M T Batchelor ◽  
A Kuniba
Keyword(s):  
Quantum Groups ◽  
Lattice Models ◽  
Lieb Lattice

scholarly journals Construction of ground-state preserving sparse lattice models for predictive materials simulations

2017 ◽  
Vol 3 (1) ◽  
Author(s):  
Wenxuan Huang ◽  
Alexander Urban ◽  
Ziqin Rong ◽  
Zhiwei Ding ◽  
Chuan Luo ◽  
...  
Keyword(s):  
Ground State ◽  
Lattice Models
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