Quantum three-coloring dimer model and the disruptive effect of quantum glassiness on its line of critical points
arXiv:cond-mat/0410562 · doi:10.1103/PhysRevB.72.104405
Abstract
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.
(6 pages, 6 figures) - revised and expanded with additional explanatory paragraphs; published version
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- Theory of the superglass phase
- Frustration-induced emergent Hilbert space fragmentation
- Scaling of Entanglement Entropy at 2D quantum Lifshitz fixed points and topological fluids
- Resonating color state and emergent chromodynamics in the kagome antiferromagnet
- From frustration to glassiness via quantum fluctuations and random tiling with exotic entropy
- Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales
- Resonating plaquette phase of a quantum six-vertex model
- Resonating quantum three-coloring wavefunctions for the kagome quantum antiferromagnet
- Colorings of odd or even chirality on hexagonal lattices
- Lieb-Schultz-Mattis theorem for quasi-topological systems
- High-Temperature Criticality in Strongly Constrained Quantum Systems
- Multiple time scales from hard local constraints: glassiness without disorder
- Classical vertex model dualities in a family of 2D frustrated quantum antiferromagnets
- Crumpling transition of the discrete planar folding in the negative-bending-rigidity regime
- The 3-edge-colouring problem on the 4-8 and 3-12 lattices
- Re`class'ification of `quant'ified classical simulated annealing
- Phase-space networks and connectivity of the kagome antiferromagnet