scholarly journals Numerical calculation of spectral functions of the Bose-Hubbard model using bosonic dynamical mean-field theory

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Jaromir Panas ◽  
Anna Kauch ◽  
Jan Kuneš ◽  
Dieter Vollhardt ◽  
Krzysztof Byczuk
Keyword(s):  
Field Theory ◽  
Numerical Calculation ◽  
Hubbard Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamical Mean Field Theory ◽  
Spectral Functions

Mott Transition in the Mass Imbalanced Ionic Hubbard Model at Half Filling

2019 ◽  
Vol 29 (3SI) ◽  
pp. 305
Author(s):  
Nguyen Thi Hai Yen ◽  
Le Duc Anh ◽  
Hoang Anh Tuan ◽  
Nguyen Toan Thang
Keyword(s):  
Field Theory ◽  
Hubbard Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamical Mean Field Theory ◽  
Mass Imbalance ◽  
Half Filling ◽  
Ionic Hubbard Model ◽  
Ionic Energy ◽  
Good Agreement

The Mott - Hubbard metal - insulator transition in the half-filled mass imbalanced ionic Hubbard model is investigated using the two-site dynamical mean field theory. We find that for a fixed mass imbalanced parameter r the critical interaction Uc increases when the ionic energy \(\Delta\) is increased. In the other hand, for a fixed \(\Delta\), \(U_c\) decreases with increasing the mass imbalance. We also show the existence of BI phase in the system for the case \(\Delta \ne 0\), \(U=0\) and calculate the staggered charge density \(n_B − n_A\) as a function of the interaction for different values of the mass imbalance. Our results in the limiting cases (\(r = 1\); \(\Delta \ne 0\) or/and \(\Delta = 0\); \(r\ne 1\)) are in good agreement with those obtained from full dynamical mean field theory.

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