scholarly journals Dynamical mean-field study of the Mott transition in the half-filled Hubbard model on a triangular lattice

2006 ◽  
Vol 74 (8) ◽  
Author(s):  
K. Aryanpour ◽  
W. E. Pickett ◽  
R. T. Scalettar
Keyword(s):  
Hubbard Model ◽  
Field Study ◽  
Triangular Lattice ◽  
Mean Field ◽  
Mott Transition

scholarly journals Band Degeneracy and the Mott Transition: Dynamical Mean Field Study

1997 ◽  
Vol 11 (06) ◽  
pp. 729-751 ◽  
Author(s):  
Henrik Kajueter ◽  
Gabriel Kotliar
Keyword(s):  
Hubbard Model ◽  
Field Study ◽  
Mean Field ◽  
Mott Transition ◽  
Band Model ◽  
Infinite Dimensions ◽  
Orbital Degeneracy ◽  
Atomic Exchange ◽  
The One

We investigate the Mott transition in infinite dimensions in the orbitally degenerate Hubbard model. We find that the qualitative features of the Mott transition found in the one-band model are also present in the orbitally degenerate case. Surprisingly, the quantitative aspects of the density driven Mott transition around density one are not very sensitive to orbital degeneracy, justifying the quantitative success of the one-band model which was previously applied to orbitally degenerate systems. We contrast this with quantities that have a sizeable dependence on the orbital degeneracy and comment on the role of the intra-atomic exchange J.

MOTT TRANSITION IN THE HALF-FILLED HUBBARD MODEL ON THE HONEYCOMB LATTICE WITHIN COHERENT POTENTIAL APPROXIMATION

2013 ◽  
Vol 27 (07) ◽  
pp. 1350046 ◽  
Author(s):  
DUC ANH LE
Keyword(s):  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Mean Field Theory ◽  
Mean Field ◽  
Coulomb Repulsion ◽  
Mott Transition ◽  
Coherent Potential Approximation ◽  
Honeycomb Lattice ◽  
Potential Approximation ◽  
Good Agreement

Using the coherent potential approximation, we study zero-temperature Mott transition in the half-filled Hubbard model on the honeycomb lattice. Although a pseudogap is already present for the non-interacting case, the gap will not occur until the onsite Coulomb repulsion exceeds a critical value U ≈ 3.6t, where t is the hopping integral. When increasing U/t, the density of states at the Fermi energy first goes up gradually from zero and after reaching a maximum it goes down to zero again. Our calculated critical interaction UC/t is in very good agreement with the ones obtained by quantum Monte Carlo simulation and cluster dynamical mean-field theory.

scholarly journals Mean field study of the topological Haldane-Hubbard model of spin-12fermions

2016 ◽  
Vol 93 (11) ◽  
Author(s):  
V. S. Arun ◽  
R. Sohal ◽  
C. Hickey ◽  
A. Paramekanti
Keyword(s):  
Hubbard Model ◽  
Field Study ◽  
Mean Field
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