Simultaneous diagonal and off-diagonal order in the Bose-Hubbard Hamiltonian.

  title={Simultaneous diagonal and off-diagonal order in the Bose-Hubbard Hamiltonian.},
  author={Scalettar and Batrouni and Kampf and Zim{\'a}nyi},
  journal={Physical review. B, Condensed matter},
  volume={51 13},
The Bose-Hubbard model exhibits a rich phase diagram consisting both of insulating regimes where diagonal long-range (solid) order dominates as well as conducting regimes where off-diagonal long-range order (superfluidity) is present. In this paper we describe the results of quantum Monte Carlo calculations of the phase diagram, both for the hard- and soft-core cases, with a particular focus on the possibility of simultaneous superfluid and solid order. We also discuss the appearance of phase… 

Topics from this paper

Statistical mechanics of the bosonic Hubbard model is studied in the frame of an improved linearization scheme, applied in such a way so as to approximate in thermodynamically self-consistent way the
World line simulations of the bosonic Hubbard model in the ground state
Abstract We discuss Quantum Monte Carlo simulations for the 1 and 2-dimensional bosonic Hubbard models using the world line algorithm. We first discuss the algorithm and our method for measuring the
Phase diagram of interacting bosons on the honeycomb lattice
We study the ground-state properties of repulsively interacting bosons on the honeycomb lattice using large-scale quantum Monte Carlo simulations. In the hard-core limit, the half-filled system
Topological phase separation in 2D hard-core Bose-Hubbard system away from half-filling
We suppose that the doping of the 2D hard-core boson system away from half-filling may result in the formation of a multicenter topological defect such as charge order (CO) bubble domain(s) with Bose
Mott phases and quantum phase transitions of extended Bose–Hubbard models in 2+1 dimensions
We review the recent theoretical developments toward understanding the Mott phases and quantum phase transition of extended Bose–Hubbard models on lattices in two spatial dimensions. We focus on the
Fermionic Hubbard model with Rashba or Dresselhaus spin–orbit coupling
In this work, we investigate the possible dramatic effects of Rashba or Dresselhaus spin–orbit coupling (SOC) on the fermionic Hubbard model in a two-dimensional square lattice. In the strong
Coexistence of long-range orders in a Bose-Holstein model
Saha Institute of Nuclear Physics, Salt Lake, Kolkata 700064, India.(Dated: May 26, 2015)Exploring supersolidity in naturally occurring and artificially designed systems has been and willcontinue to
Hard-Core Bosons on a Two-Dimensional Square Optical Superlattice
In this work,we theoretically study hard-core bosons on a two-dimensional square optical superlattice at T = 0.First of all,we present the mean field phase diagram of this model in terms of the
Mott-insulator-superfluid-liquid transition in a one-dimensional bosonic Hubbard model: Quantum Monte Carlo method
The values of the insulator gap Δ in one-dimensional systems of interacting bosons described by the Hubbard Hamiltonian are calculated at low temperatures by the quantum world-line Monte Carlo
Spin wave theory for interacting hardcore bosons on cubic lattices: a comparative study
Motivated by excellent comparisons of spin wave theory (SWT) with Quantum Monte Carlo (QMC) calculations of non-interacting hardore bosons (Bernardet et al.) and superlattices (Hen et al.), we