Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Proceedings of the International School of Physics "Enrico Fermi"

The Bose-Hubbard model on a flat-band lattice: A community of bosons

Christine Cartwright

Published Jan 1, 2018• 0 citations
Publisher
DOI
10.3254/978-1-61499-856-3-17

Related papers

Ground-State of the Bose-Hubbard Model

Jay D. Mancini, Vassilios Fessatidis, S.P. Bowen +2 more

Bulletin of the American Physical Society•Mar 17, 2016•0 citations

Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands

Shintaro Takayoshi, Hosho Katsura, Noriaki Watanabe +1 more

To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\ensuremath{\pi}$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the on-site repulsion nonperturbatively. For low densities, we find exact degenerate ground states, each of which is a Wigner solid with nonoverlapping Wannier states on the flat band. At higher densities, the many-body system, when projected onto the lower flat band, can be mapped to a spin-chain model. This mapping enables us to reveal the existence of a Tomonaga-Luttinger liquid comprising pairs of bosons. Interestingly, the high- and low-density regions have an overlap, where the two phases coexist.

arXiv:1309.6329•Physical Review A•Dec 6, 2013•92 citations

The spontaneous disorder according to flat bands

Dian-Cheng Zhang

A bosonic Creutz-Hubbard ladder is studied by solving the interacting Bose-Hubbard model, with the help of exact diagonalization method. Under certain parameters, a single-particle energy spectrum possessing two flat energy bands is obtained. Due to these flat bands, we identify the spontaneous disorder in the presence of interaction, which breaks the translational symmetry of lattice system. Out of flat bands and taking a flux quanta asπ/2, the checkerboard phase associated with Meissner currents can be observed, as well as the regular biased ladder (BL) phase, which particularly presents a novel type of interlaced chiral current. We further figure out a modulated BL phase, whose imbalance on the occupancies between two legs is constant, whereas the density distribution on either leg oscillates periodically, followed by compound currents.

Journal of Physics Condensed Matter•Jul 6, 2023•0 citations

The Bose-Hubbard model: from Josephson junction arrays to optical lattices

Christoph Bruder, Rosario Fazio, Gerd Schön

Annalen der Physik•Aug 18, 2005•51 citations

MOTT INSULATOR-SUPERFLUID TRANSITION IN A GENERALIZED BOSE–HUBBARD MODEL WITH TOPOLOGICALLY NONTRIVIAL FLAT-BAND

XING-HAI ZHANG, SU-PENG KOU

In this paper, we studied a generalized Bose–Hubbard model on a checkerboard lattice with topologically nontrivial flat-band. We used mean-field method to decouple the model Hamiltonian and obtained phase diagram by Landau theory of second-order phase transition. We further calculate the energy gap and the dispersion of quasi-particle or quasi-hole in Mott insulator phase and found that in strong interaction limit the quasi-particles or the quasi-holes also have flat-bands.

arXiv:1205.6641•International Journal of Modern Physics B•Dec 20, 2012•1 citation

The Bose-Hubbard model with disorder in low-dimensional lattices

Juan Carrasquilla

•Oct 22, 2010•1 citation
To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\ensuremath{\pi}$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the on-site repulsion nonperturbatively. For low densities, we find exact degenerate ground states, each of which is a Wigner solid with nonoverlapping Wannier states on the flat band. At higher densities, the many-body system, when projected onto the lower flat band, can be mapped to a spin-chain model. This mapping enables us to reveal the existence of a Tomonaga-Luttinger liquid comprising pairs of bosons. Interestingly, the high- and low-density regions have an overlap, where the two phases coexist.
A bosonic Creutz-Hubbard ladder is studied by solving the interacting Bose-Hubbard model, with the help of exact diagonalization method. Under certain parameters, a single-particle energy spectrum possessing two flat energy bands is obtained. Due to these flat bands, we identify the spontaneous disorder in the presence of interaction, which breaks the translational symmetry of lattice system. Out of flat bands and taking a flux quanta asπ/2, the checkerboard phase associated with Meissner currents can be observed, as well as the regular biased ladder (BL) phase, which particularly presents a novel type of interlaced chiral current. We further figure out a modulated BL phase, whose imbalance on the occupancies between two legs is constant, whereas the density distribution on either leg oscillates periodically, followed by compound currents.