Castelnovo, Claudio, Chamon, Claudio, Mudry, Christopher and Pujol, Pierre (2005) Quantum three-coloring dimer model and the disruptive effect of quantum glassiness on its line of critical points. Physical Review B, 72 (10).
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We construct a quantum extension of the (classical) three-coloring model introduced by Baxter [J. Math. Phys. 11, 784 (1970)] for which the ground state can be computed exactly along a continuous line of Rokhsar-Kivelson solvable points. The quantum model, which admits a local spin representation, displays at least three different phases; an antiferromagnetic phase, a line of quantum critical points, and a ferromagnetic phase. We argue that, in the ferromagnetic phase, the system cannot reach dynamically the quantum ground state when coupled to a bath through local interactions, and thus lingers in a state of quantum glassiness.
This is a Submitted version This version's date is: 9/2005 This item is not peer reviewed
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