Unrestricted Hartree-Fock upper bounds for the total energy of the Hubbard model on a Bethe lattice of infinite connectivity

1994 ◽  
Vol 50 (18) ◽  
pp. 13817-13820
Author(s):  
J. Galán ◽  
J. A. Vergés
Keyword(s):  
Hubbard Model ◽  
Total Energy ◽  
Bethe Lattice ◽  
Upper Bounds ◽  
Hartree Fock

scholarly journals Exact solution of the Bose-Hubbard model on the Bethe lattice

2009 ◽  
Vol 80 (1) ◽  
Author(s):  
Guilhem Semerjian ◽  
Marco Tarzia ◽  
Francesco Zamponi
Keyword(s):  
Exact Solution ◽  
Hubbard Model ◽  
Bethe Lattice

scholarly journals Magnetic state of K0.8Fe1.6Se2from a five-orbital Hubbard model in the Hartree-Fock approximation

2011 ◽  
Vol 84 (14) ◽  
Author(s):  
Qinlong Luo ◽  
Andrew Nicholson ◽  
José Riera ◽  
Dao-Xin Yao ◽  
Adriana Moreo ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Magnetic State ◽  
Hartree Fock

PHASE SEPARATION IN THE TWO-DIMENSIONAL HUBBARD MODEL

2005 ◽  
Vol 19 (01n03) ◽  
pp. 299-302 ◽  
Author(s):  
M. YU ◽  
H. Q. LIN
Keyword(s):  
Phase Separation ◽  
Hubbard Model ◽  
Coulomb Interaction ◽  
Single Band ◽  
Study Phase ◽  
Two Dimensional ◽  
Stripe Phase ◽  
Hartree Fock ◽  
Band Filling

In this paper, we study phase separation in the two-dimensional single-band Hubbard model with the unrestricted Hartree-Fock(UHF) method and the restricted Hartree-Fock (RHF) method. We perform the calculation for square lattices and rectangle lattices. It is observed that the stripe phase exists and it depends on three aspects: geometry of the lattice, Coulomb interaction U and band filling n. To gain more physical insights, we consider the Hubbard model with spin dependent hoppings: t↑ and t↓, and study the effect of varying [Formula: see text] on the phase separation.

THE PHASE DIAGRAM OF THE HUBBARD MODEL

1991 ◽  
Vol 05 (06n07) ◽  
pp. 865-883 ◽  
Author(s):  
M. W. LONG
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Exact Results ◽  
Hartree Fock ◽  
Clear Solution

A brief review of the types of ideas which have been used to investigate the phase diagram of the Hubbard model is presented. No clear solution emerges although the competitions at work are established. Hartree-Fock, Gutzwiller's projection, Nagaoka's theorem, Kanamori's paramagnetism, Lieb's exact results and charge-spin separation are the main concepts.

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