scholarly journals Kane-Mele-Hubbard model on theπ-flux honeycomb lattice

2014 ◽  
Vol 90 (7) ◽  
Author(s):  
Martin Bercx ◽  
Martin Hohenadler ◽  
Fakher F. Assaad
Keyword(s):  
Hubbard Model ◽  
Honeycomb Lattice

scholarly journals Effective spin couplings in the Mott insulator of the honeycomb lattice Hubbard model

2012 ◽  
Vol 14 (11) ◽  
pp. 115027 ◽  
Author(s):  
Hong-Yu Yang ◽  
A Fabricio Albuquerque ◽  
Sylvain Capponi ◽  
Andreas M Läuchli ◽  
Kai Phillip Schmidt
Keyword(s):  
Hubbard Model ◽  
Mott Insulator ◽  
Honeycomb Lattice ◽  
Effective Spin

scholarly journals Antiferromagnetism in the Hubbard model on the honeycomb lattice: A two-particle self-consistent study

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
S. Arya ◽  
P. V. Sriluckshmy ◽  
S. R. Hassan ◽  
A.-M. S. Tremblay
Keyword(s):  
Hubbard Model ◽  
Honeycomb Lattice ◽  
Self Consistent

scholarly journals Effects of correlations on honeycomb lattice in ionic-Hubbard model

2015 ◽  
Vol 379 (14-15) ◽  
pp. 1053-1056 ◽  
Author(s):  
M. Ebrahimkhas ◽  
Z. Drezhegrighash ◽  
E. Soltani
Keyword(s):  
Hubbard Model ◽  
Honeycomb Lattice ◽  
Ionic Hubbard Model

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 A study of the magnetic properties in the Hubbard model on the honeycomb lattice by variational cluster approximation

2016 ◽  
Vol 30 (23) ◽  
pp. 1650158 ◽  
Author(s):  
Atsushi Yamada
Keyword(s):  
Magnetic Properties ◽  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Large Scale ◽  
Interaction Strength ◽  
Honeycomb Lattice ◽  
Metallic State ◽  
Cluster Approximation ◽  
Nonmagnetic Metal ◽  
Variational Cluster Approximation

Magnetic properties of the half-filled Hubbard model on the honeycomb lattice, which is a simple model of graphene, are studied using the variational cluster approximation (VCA). We found that the critical interaction strength of a magnetic transition is slightly lower than that of the nonmagnetic metal-to-insulator transition and the magnetic order parameter is already nonnegligible at the latter transition point. Thus, a semi-metallic state becomes a magnetic insulator as the interaction strength increases, and a spin liquid state characterized by a Mott insulator without spontaneously broken spatial or spin symmetry, or a state very close to that is not realized in this system. Both the magnetic and nonmagnetic metal-to-insulator transitions are of the second-order. Our results agree with recent large scale quantum Monte Carlo (QMC) simulations.

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