Critical behavior near the Mott transition in the half-filled asymmetric Hubbard model

2016 ◽  
Vol 485 ◽  
pp. 121-126 ◽  
Author(s):  
Anh-Tuan Hoang ◽  
Duc-Anh Le
Keyword(s):  
Hubbard Model ◽  
Critical Behavior ◽  
Mott Transition ◽  
Asymmetric Hubbard Model

Critical Behavior near the Mott Transition in the Hubbard Model

1995 ◽  
Vol 74 (11) ◽  
pp. 2082-2085 ◽  
Author(s):  
Goetz Moeller ◽  
Qimiao Si ◽  
Gabriel Kotliar ◽  
Marcelo Rozenberg ◽  
Daniel S. Fisher
Keyword(s):  
Hubbard Model ◽  
Critical Behavior ◽  
Mott Transition

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.

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