Selfenergy Effect on the Magnetic Ordering Transition in the Mono- and Bilayer Honeycomb Hubbard Model

2017 ◽  
Vol 529 (11) ◽  
pp. 1700044 ◽  
Author(s):  
Carsten Honerkamp
Keyword(s):  
Hubbard Model ◽  
Magnetic Ordering ◽  
Ordering Transition

Magnetic ordering transition of electrons on mesoscopic tubes

1993 ◽  
Vol 48 (23) ◽  
pp. 17545-17550 ◽  
Author(s):  
P. S. Davids ◽  
L. Wang ◽  
A. Saxena ◽  
A. R. Bishop
Keyword(s):  
Magnetic Ordering ◽  
Ordering Transition

REENTRANT CHARGE ORDERING BEHAVIOUR IN THE EXTENDED HUBBARD MODEL

2001 ◽  
Vol 15 (26) ◽  
pp. 1217-1224 ◽  
Author(s):  
ANH TUAN HOANG
Keyword(s):  
Hubbard Model ◽  
Three Dimensional ◽  
Charge Ordering ◽  
Coherent Potential Approximation ◽  
Coulomb Energy ◽  
Extended Hubbard Model ◽  
Potential Approximation ◽  
Ordering Transition

We study the charge ordering behavior in a three-dimensional extended Hubbard model using the Coherent potential approximation (CPA). It is shown that the charge ordering transition occurs due to the competition between kinetic and Coulomb energy. At various band fillings a simple reentrant behavior of the charge ordering transition is found.

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.

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