Effective Hamiltonians for Magnetic Ordering Within Periodic Anderson-Hubbard Model for Quantum Dot Array

2019 ◽  
pp. 441-459
Author(s):  
L. Didukh ◽  
Yu. Skorenkyy ◽  
O. Kramar ◽  
Yu. Dovhopyaty
Keyword(s):  
Quantum Dot ◽  
Hubbard Model ◽  
Magnetic Ordering ◽  
Effective Hamiltonians

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.

Quantum frustration and magnetic ordering in a Hubbard model

1988 ◽  
Vol 153-155 ◽  
pp. 1277-1278 ◽  
Author(s):  
Marc Gabay ◽  
Sebastian Doniach ◽  
Masahiko Inui
Keyword(s):  
Hubbard Model ◽  
Magnetic Ordering

scholarly journals Magnetism of quantum dot clusters: a Hubbard model study

2008 ◽  
Vol 64 (1) ◽  
pp. 95-103 ◽  
Author(s):  
J. -P. Nikkarila ◽  
M. Koskinen ◽  
M. Manninen
Keyword(s):  
Quantum Dot ◽  
Hubbard Model ◽  
Model Study
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