String Picture of a Frustrated Quantum Magnet and Dimer Model
arXiv:cond-mat/0409776 · doi:10.1103/PhysRevLett.94.110604
Abstract
We map a geometrically frustrated Ising system with transversal field generated quantum dynamics to a strongly anisotropic lattice of non-crossing elastic strings. The combined effect of frustration, quantum and thermal spin fluctuations is explained in terms of a competition between intrinsic lattice pinning of strings and topological defects in the lattice. From this picture we obtain analytic results for correlations and the phase diagram which agree nicely with recent simulations.
4 pages, 2 figures
References in corpus (12)
- An RVB phase in the triangular lattice quantum dimer model
- Ising models of quantum frustration
- Topologically protected quantum bits from Josephson junction arrays
- Two-dimensional periodic frustrated Ising models in a transverse field
- Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
- The phase diagram of the hexagonal lattice quantum dimer model
- Interplay of quantum and thermal fluctuations in a frustrated magnet
- Triangular Antiferromagnets
- Ground-State Roughness of the Disordered Substrate and Flux Line in d=2
- Test of Replica Theory: Thermodynamics of 2D Model Systems with Quenched Disorder
- Frustrated spin model as a hard-sphere liquid
- Is there a Glass Transition in Planar Vortex Systems?
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