Quantum three-coloring dimer model and the disruptive effect of quantum glassiness on its line of critical points

Details Quantum three-coloring dimer model and the disruptive effect of quantum glassiness on its line of critical points Quantum three-coloring dimer model and the disruptive effect of quantum glassiness on its line of critical points

2004-10-21

arxiv.org/abs/cond-mat/0410562v4

Phys. Rev. B 72, 104405 (2005) (7 pages)

Physics

Condensed Matter

Strongly Correlated Electrons

(6 pages, 6 figures) - revised and expanded with additional explanatory paragraphs; published version

Scientific paper

10.1103/PhysRevB.72.104405

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 (AF) phase, a line of quantum critical points, and a ferromagnetic (F) 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.

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