Mott transition in lattice boson models
arXiv:math-ph/0509060 · doi:10.1007/s00220-006-0038-9
Abstract
We use mathematically rigorous perturbation theory to study the transition between the Mott insulator and the conjectured Bose-Einstein condensate in a hard-core Bose-Hubbard model. The critical line is established to lowest order in the tunneling amplitude.
20 pages
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Cited by in corpus (5)
- Bosonic superfluid-insulator transition in continuous space
- Lie-Schwinger block-diagonalization and gapped quantum chains with unbounded interactions
- Local iterative block-diagonalization of gapped Hamiltonians: a new tool in singular perturbation theory
- Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States
- Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets