Mean-field study of the Bose-Hubbard model in Penrose lattice
arXiv:2005.04885 · doi:10.1103/PhysRevB.102.224201
Abstract
We examine the Bose-Hubbard model in the Penrose lattice based on inhomogeneous mean-field theory. Since averaged coordination number in the Penrose lattice is four, mean-field phase diagram consisting of the Mott insulator (MI) and superfluid (SF) phase is similar to that of the square lattice. However, the spatial distribution of Bose condensate in the SF phase is significantly different from uniform distribution in the square lattice. We find a fractal structure in its distribution near the MI-SF phase boundary. The emergence of the fractal structure is a consequence of cooperative effect between quasiperiodicity in the Penrose lattice and criticality at the phase transition.
arXiv comment9 pages, 5 figures, 1 table
References in corpus (42)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Bose-Einstein Condensation in Magnetic Insulators
- Realization of Bose-Einstein condensation of dilute magnons in TlCuCl
- Quantum phases in an optical lattice
- Non-standard Hubbard models in optical lattices: a review
- Edge states and topological phases in one-dimensional optical superlattices
- Quasicrystalline 30° Twisted Bilayer Graphene as an Incommensurate Superlattice with Strong Interlayer Coupling
- Quantum critical state in a magnetic quasicrystal
- Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
- Phase diagram of the bose Hubbard model
- Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
- Matter-wave diffraction from a quasicrystalline optical lattice
- Novel quantum phases of dipolar Bose gases in optical lattices
- Bose-Einstein Condensates in Optical Quasicrystal Lattices
- Quantum quasicrystals of spin-orbit coupled dipolar bosons
- Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs
- Antiferromagnetic order in the Hubbard Model on the Penrose Lattice
- Conventional superconductivity in quasicrystals
- Revealing the topology of quasicrystals with a diffraction experiment
- Route to supersolidity for the extended Bose-Hubbard model
- Fibonacci optical lattices for tunable quantum quasicrystals
- Ground-State Phase Diagram of the Two-Dimensional Extended Bose-Hubbard Model
- Collective Modes in Excitonic Insulators: Effects of Electron-Phonon Coupling and Signatures in Optical Response
- Exotic pairing state in quasicrystalline superconductors under magnetic field
- Multi-site mean-field theory for cold bosonic atoms in optical lattices
- Energy landscape in two-dimensional Penrose-tiled quasicrystal
- Application of a multi-site mean-field theory to the disordered Bose-Hubbard model
- Spin waves and local magnetizations on the Penrose tiling
- Superfluid-quasicrystal in a Bose-Einstein condensate
- Distributed Hybridization Model for Quantum Critical Behavior in Magnetic Quasicrystals
- Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces
- Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
- Majorana Zero-Energy Mode and Fractal Structure in Fibonacci-Kitaev Chain
- Mean-field phases of an ultracold gas in a quasicrystalline potential
- Two-dimensional optical quasicrystal potentials for ultracold atom experiments
- The Inhomogeneous Extended Bose-Hubbard Model: A Mean-Field Theory
- Bose-Hubbard Models in Confining Potentials: An Inhomogeneous Mean-Field Theory
- Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
- A phason disordered two dimensional quantum antiferromagnet
- Quasiperiodic Heisenberg antiferromagnets in two dimensions
- Intersite electron correlations on inhomogeneous lattices: a real-space dual fermion approach
Cited by in corpus (17)
- Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
- Topological superconductivity in quasicrystals
- Hubbard Models for Quasicrystalline Potentials
- Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
- Hyperuniform electron distributions controlled by electron interactions in quasicrystal
- Quasicrystalline Weyl points and dense Fermi-Bragg arcs
- Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
- Quasiperiodic pairing in graphene quasicrystals
- Higher-dimensional Hofstadter butterfly on Penrose lattice
- Confined states and topological phases in two-dimensional quasicrystalline -flux model
- Multifractality and Hyperuniformity in Quasicrystalline Bose-Hubbard Models with and without Disorder
- Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor
- Bose-Einstein condensation in exotic lattice geometries
- Fragile magnetic order in metallic quasicrystals
- Emergence of quasiperiodic behavior in transport and hybridization properties of clean lattice systems
- Raman Characterization of Two-Dimensional Quasiperiodic Antiferromagnets on Various Lattices: Spin-Orbit Mechanism
- Site-selective correlations in interacting "flat-band" quasicrystals