Ground state energy of Hubbard model

1971 ◽  
Vol 36 (2) ◽  
pp. 139-140 ◽  
Author(s):  
W.D. Langer ◽  
D.C. Mattis
Keyword(s):  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

scholarly journals Ground State Energy of the Low Density Hubbard Model

2008 ◽  
Vol 131 (6) ◽  
pp. 1139-1154 ◽  
Author(s):  
Robert Seiringer ◽  
Jun Yin
Keyword(s):  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Low Density

EFFECTS OF THE NEXT-NEAREST-NEIGHBOR HOPPING IN OPTICAL LATTICES

2008 ◽  
Vol 22 (01) ◽  
pp. 33-44 ◽  
Author(s):  
YUN'E GAO ◽  
FUXIANG HAN
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
Optical Lattices ◽  
State Energy ◽  
Nearest Neighbor ◽  
Three Dimensional ◽  
Dispersion Relations ◽  
Insulating Phase

Introducing the next-nearest-neighbor hopping t′ into the Bose–Hubbard model, we study its effects on the phase diagram, on the ground-state energy, and on the quasiparticle and quasihole dispersion relations of the Mott insulating phase in optical lattices. We have found that a negative value of t′ enlarges the Mott-insulating region on the phase diagram, while a positive value of t′ acts oppositely. We have also found that the effects of t′ are dependent on the dimensionality of optical lattices with its effects largest in three-dimensional optical lattices.

Ground-state energy of the Hubbard model at half filling

1996 ◽  
Vol 54 (3) ◽  
pp. 1637-1644 ◽  
Author(s):  
G. Polatsek ◽  
K. W. Becker
Keyword(s):  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Half Filling

The Ground State Energy of the Hubbard Model in Hubbard's Approximation

1972 ◽  
Vol 27 (6) ◽  
pp. 889-893 ◽  
Author(s):  
Rainer Jelitto
Keyword(s):  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Magnetic Ordering ◽  
Coupling Constant ◽  
Hartree Fock ◽  
The Best Approximation ◽  
Paramagnetic Solution ◽  
Neighbour Interaction

Abstract We have calculated the ground state energy of the Hubbard model in the approximation of Hubbard's first paper1 . For the neutral model with nearest neighbour interaction the energy resulting from the selfconsistent paramagnetic solution is compared with those ones following from the (ferromagnetic) Hartree-Fock and an (antiferromagnetic) single particle theory. The energy of the latter one turns out to be the best approximation of the true ground state energy of the model for all values of the coupling constant V0 , but the energy derived from Hubbard's approximation, in spite of the absence of magnetic ordering, is a reasonable approximation at least for sufficiently large values of V0.

scholarly journals Incremental expansions for the ground-state energy of the two-dimensional Hubbard model

1999 ◽  
Vol 59 (8) ◽  
pp. R5273-R5276 ◽  
Author(s):  
Jiri Malek ◽  
Sergej Flach ◽  
Konstantin Kladko
Keyword(s):  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Two Dimensional
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