The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction

Preprint
Publisher Website
Google Scholar
Abstract
We study the one-dimensional Bose-Hubbard model using the Density-Matrix Renormalization Group (DMRG). For the cases of on-site interactions and additional nearest-neighbor interactions we determine the phase boundaries of the Mott-insulators and charge density wave phases as well as the location of the Kosterlitz-Thouless transitions. We find a direct phase transition between the charge density wave phase and no supersolid or normal phases. The low-energy behavior of the superfluid phase is that of a Luttinger liquid. In the presence of nearest-neighbor interaction the charge density wave phase is completely surrounded by a region in which the effective interactions of the Luttinger liquid are repulsive. In this region a single impurity causes the system to be insulating. An even bigger region of the superfluid phase is driven into a Bose-glass phase by any finite quenched disorder. We determined the boundaries of both region in the phase diagram. We study the ac-conductivity in the superfluid phase in the attractive and the repulsive region, and find big Drude weights in both regions.

This publication has 0 references indexed in Scilit: