Emergent Phases in an Extended Bose-Hubbard Model with Three-body On-site Interaction

Abstract

We study the Extended Bose-Hubbard Model with a three-body onsite interaction. Using an exact diagonalization method and a variational Matrix Product States algorithm, \emph{Alps mps-optim}, we compute and analyse the energy charge gap and finite system correlation functions to obtain the phase boundaries and determine the phases and phase transitions of the model. For \mbox{$\frac{V}{U}=0.6$} and \mbox{$\frac{W}{U}=0$}, we observed the emergence of the Haldane insulator (HI) phase at the tip of the \mbox{$\rho =1$} charge density wave (CDW) lobe and for \mbox{$\frac{V}{U}=0.6$} and \mbox{$\frac{W}{U}=1$}, we observed the emergence of the supersolid (SS) phase at the tip of the \mbox{$\rho =1/2$} charge density wave (CDW) lobe. We also noticed that the effect of the inclusion of both the three-body onsite and nearest neighbor interactions on the phase diagram of the model for filling factor \mbox{$\rho =2$} is to stabilize the Mott insulator (MI) phase such that the system remains in the MI phase for all values of $\frac{V}{U}$.

arXiv comment18 pages. 4 figures

References in corpus (14)

• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Phases of the one-dimensional Bose-Hubbard model
• Hidden order in 1D Bose insulators
• Rise and fall of hidden string order of lattice bosons
• Dynamics and Thermodynamics of the Bose-Hubbard model
• Dynamic properties of the one-dimensional Bose-Hubbard model
• Dipolar Molecules in Optical Lattices
• Matrix Product State applications for the ALPS project
• Route to supersolidity for the extended Bose-Hubbard model
• Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
• Exact diagonalization of the one dimensional Bose-Hubbard model with local 3-body interactions
• Accurate determination of the superfluid-insulator transition in the one-dimensional Bose-Hubbard model
• One-dimensional Bose-Hubbard model with pure three-body interactions
• Renormalization of two-body interactions due to higher-body interactions of lattice bosons