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

APS

Excitations and quantum phase transitions of Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model

G. G. Batrouni, V. G. Rousseau, Richard T. Scalettar, Benoît Grémaud

Published Mar 1, 2014• 0 citations
OpenAlex

Related papers

Supersolid Phase in One-Dimensional Hard-Core Boson Hubbard Model with a Superlattice Potential

Guo, Huai-Ming, Liang Liang +1 more

理论物理通讯：英文版•Jan 1, 2008•0 citations

Competition between the Haldane insulator, superfluid and supersolid phases in the one-dimensional Bosonic Hubbard Model

G. G. Batrouni, V. G. Rousseau, Richard T. Scalettar +1 more

We use quantum Monte Carlo (QMC), density matrix renormalization group (DMRG) and time evolution block decimation (TEBD) to study the competition between several exotic quantum phases in the one-dimensional extended bosonic Hubbard model and map its phase diagram. Of particular interest is the Haldane insulating phase which we show to be present only for density p = 1. We also show that the supersolid phase is present for a wide range of parameters including commensurate densities.

Journal of Physics Conference Series•Sep 28, 2015•3 citations

Excitation and dynamics in the extended Bose-Hubbard model

Benoît Grémaud, G. G. Batrouni

The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the contact ($U$) and near neighbor ($V$) interaction strengths. In this paper we use the density matrix renormalization group and the time evolving block decimation numerical methods to study in detail the dynamics and excitation spectra of this model in its various phases. In particular, we study in detail the behavior of the charge and neutral gaps which characterize the Mott, charge density, and Haldane insulating phases. We also show that in addition to the gapless modes at $k=0$, the supersolid phase exhibits gapless modes at a finite $k$ which depends on the filling.

arXiv:1508.02114•Physical review. B./Physical review. B•Jan 11, 2016•11 citations

Mott phases and quantum phase transitions of extended Bose–Hubbard models in 2+1 dimensions

K. Sengupta

arXiv:cond-mat/0703506•Physica A Statistical Mechanics and its Applications•May 9, 2007•0 citations

Competing Supersolid and Haldane Insulator Phases in the Extended One-Dimensional Bosonic Hubbard Model

G. G. Batrouni, Richard T. Scalettar, V. G. Rousseau +1 more

The Haldane insulator is a gapped phase characterized by an exotic nonlocal order parameter. The parameter regimes at which it might exist, and how it competes with alternate types of order, such as supersolid order, are still incompletely understood. Using the stochastic Green function quantum Monte Carlo algorithm and density matrix renormalization group, we study numerically the ground state phase diagram of the one-dimensional bosonic Hubbard model with contact and near neighbor repulsive interactions. We show that, depending on the ratio of the near neighbor to contact interactions, this model exhibits charge density waves, superfluid, supersolid, and the recently identified Haldane insulating phases. We show that the Haldane insulating phase exists only at the tip of the unit-filling charge density wave lobe and that there is a stable supersolid phase over a very wide range of parameters.

arXiv:1304.2120•Physical Review Letters•Jun 28, 2013•51 citations

Quantum phases, supersolids and quantum phase transitions of interacting bosons in frustrated lattices

Jinwu Ye, Yan Chen

arXiv:cond-mat/0612009•Nuclear Physics B•Dec 5, 2012•9 citations
The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the contact (UUU) and near neighbor (VVV) interaction strengths. In this paper we use the density matrix renormalization group and the time evolving block decimation numerical methods to study in detail the dynamics and excitation spectra of this model in its various phases. In particular, we study in detail the behavior of the charge and neutral gaps which characterize the Mott, charge density, and Haldane insulating phases. We also show that in addition to the gapless modes at k=0k=0k=0, the supersolid phase exhibits gapless modes at a finite kkk which depends on the filling.
The Haldane insulator is a gapped phase characterized by an exotic nonlocal order parameter. The parameter regimes at which it might exist, and how it competes with alternate types of order, such as supersolid order, are still incompletely understood. Using the stochastic Green function quantum Monte Carlo algorithm and density matrix renormalization group, we study numerically the ground state phase diagram of the one-dimensional bosonic Hubbard model with contact and near neighbor repulsive interactions. We show that, depending on the ratio of the near neighbor to contact interactions, this model exhibits charge density waves, superfluid, supersolid, and the recently identified Haldane insulating phases. We show that the Haldane insulating phase exists only at the tip of the unit-filling charge density wave lobe and that there is a stable supersolid phase over a very wide range of parameters.