Interacting bosons in two-dimensional flat band systems
arXiv:1505.03912 · doi:10.1140/epjb/e2015-60371-3
Abstract
The Hubbard model of bosons on two dimensional lattices with a lowest flat band is discussed. In these systems there is a critical density, where the ground state is known exactly and can be represented as a charge density wave. Above this critical filling, depending on the lattice structure and the interaction strength, the additional particles are either delocalised and condensate in the ground state, or they form pairs. Pairs occur at strong interactions, e.g., on the chequerboard lattice. The general mechanism behind this phenomenon is discussed.
small changes, one figure added. Accepted for publication in EPJB
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Cited by in corpus (11)
- Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models
- Interaction-induced topological properties of two bosons in flat-band systems
- Pair formation of hard core bosons in flat band systems
- Spectral Properties of Two Coupled Fibonacci Chains
- Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
- Hard-core bosons in flat band systems above the critical density
- Cluster Mean-Field Signature of Entanglement Entropy in Bosonic Superfluid-Insulator Transitions
- Dissipation-Induced Mobility and Coherence in Frustrated Lattices
- Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
- Quantum walks assisted by particle number fluctuations
- Localised pair formation in bosonic flat-band Hubbard models