SUPERSOLID PHASE IN ONE-DIMENSIONAL BOSE–HUBBARD MODEL WITH EXTENDED RANGE INTERACTIONS: DMRG AND FIELD THEORETIC STUDY AT DIFFERENT DENSITIES

2011 ◽  
Vol 25 (01) ◽  
pp. 159-169 ◽  
Author(s):  
MANORANJAN KUMAR ◽  
SUJIT SARKAR ◽  
S. RAMASESHA
Keyword(s):  
Hubbard Model ◽  
Nearest Neighbor ◽  
Range Interaction ◽  
Quantum Phases ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Supersolid Phase ◽  
Extended Range ◽  
Half Filling

We use the Density Matrix Renormalization Group and the Abelian bosonization method to study the effect of density on quantum phases of one-dimensional extended Bose–Hubbard model. We predict the existence of supersolid phase and also other quantum phases for this system. We have analyzed the role of extended range interaction parameters on solitonic phase near half-filling. We discuss the effects of dimerization in nearest neighbor hopping and interaction as well as next nearest neighbor interaction on the plateau phase at half-filling.

Thermodynamics of the one-dimensional Hubbard model with next-nearest-neighbor hopping

2004 ◽  
Vol 354 (1-4) ◽  
pp. 293-296 ◽  
Author(s):  
A.M.C. Souza ◽  
C.A. Macedo ◽  
M.L. Moreira
Keyword(s):  
Hubbard Model ◽  
Nearest Neighbor ◽  
One Dimensional ◽  
The One

scholarly journals One-dimensional Bose-Hubbard model with pure three-body interactions

Open Physics ◽  
2014 ◽  
Vol 12 (7) ◽  
Author(s):  
Tomasz Sowiński
Keyword(s):  
Hubbard Model ◽  
Universality Class ◽  
Density Matrix Renormalization Group ◽  
Superfluid Phase ◽  
Group Approach ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Renormalization Group Approach ◽  
Insulating Phase ◽  
Three Body

AbstractThe extended Bose-Hubbard model with pure three-body local interactions is studied using the Density Matrix Renormalization Group approach. The shapes of the first two insulating lobes are discussed, and the values of the critical tunneling for which the system undergoes the quantum phase transition from insulating to superfluid phase are predicted. It is shown that stability of insulating phases, in contrast to the standard Bose-Hubbard model, is enhanced for larger fillings. It is also shown that, on the tip of the boundary of the insulating phase, the model under consideration belongs to the Berenzinskii-Kosterlitz-Thouless universality class.

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