A mean field approach for string condensed states

Abstract

We describe a mean field technique for quantum string (or dimer) models. Unlike traditional mean field approaches, the method is general enough to include string condensed phases in addition to the usual symmetry breaking phases. Thus, it can be used to study phases and phases transitions beyond Landau's symmetry breaking paradigm. We demonstrate the technique with a simple example: the spin-1 XXZ model on the Kagome lattice. The mean field calculation predicts a number of phases and phase transitions, including a z=2 deconfined quantum critical point.

10 pages + appendix, 15 figures

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Cited by in corpus (9)

• Tensor-entanglement renormalization group approach to 2D quantum systems
• Bose condensation in flat bands
• A quantum topological phase transition at the microscopic level
• Cluster Mott insulators and two Curie-Weiss regimes on an anisotropic Kagome lattice
• Mean-field ansatz for topological phases with string tension
• Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
• Spontaneous trimerization in two-dimensional Antiferromagnets
• Quantum order by disorder in a spin-one frustrated magnet on the kagome lattice
• Evidence for a string-net matter