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.

MAGNETIC PHASE DIAGRAM OF THE HUBBARD MODEL ON THE AB2 CHAIN

2013 ◽  
Vol 27 (20) ◽  
pp. 1350144
Author(s):  
A. C. NASCIMENTO ◽  
ANDRE M. C. SOUZA
Keyword(s):  
Phase Diagram ◽  
Magnetic Properties ◽  
Hubbard Model ◽  
Function Method ◽  
Magnetic Phase ◽  
Magnetic Phase Diagram ◽  
Electron Interaction ◽  
Hartree Fock ◽  
Band Filling ◽  
Complete Investigation

In this paper, a complete investigation of the magnetic properties of the Hubbard model on the AB2 chain is presented. We evaluate the magnetic phase diagram as a function of the electron–electron interaction and band filling by using the Green's function method within the Hartree–Fock approximation. Our results are in agreement with Lieb's theorem and the system shows ferromagnetic, ferrimagnetic, and paramagnetic phases.

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

scholarly journals Phase diagram of the Bose-Hubbard Model

1994 ◽  
Vol 26 (7) ◽  
pp. 545-550 ◽  
Author(s):  
J. K Freericks ◽  
H Monien
Keyword(s):  
Phase Diagram ◽  
Hubbard Model

Phase diagram of an extended Hubbard model with correlated hopping at half filling

1995 ◽  
Vol 51 (19) ◽  
pp. 13774-13777 ◽  
Author(s):  
A. A. Aligia ◽  
Liliana Arrachea ◽  
E. R. Gagliano
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Extended Hubbard Model ◽  
Half Filling

scholarly journals Phase diagram of the two-chain Hubbard model

1999 ◽  
Vol 59 (4) ◽  
pp. 2587-2590 ◽  
Author(s):  
Youngho Park ◽  
Shoudan Liang ◽  
T. K. Lee
Keyword(s):  
Phase Diagram ◽  
Hubbard Model

T = 0 phase diagram of the 1D Hubbard model with magnetic interactions in the narrow band limit

Open Physics ◽  
2012 ◽  
Vol 10 (3) ◽  
Author(s):  
Ferdinando Mancini ◽  
Evgeny Plekhanov ◽  
Gerardo Sica
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Narrow Band ◽  
Operator Method ◽  
Magnetic Interactions ◽  
Exchange Constant ◽  
Local Charge ◽  
Spin Interactions ◽  
Charge Interaction ◽  
Composite Operator Method

AbstractIn this paper we study a generalization of the Hubbard model by considering spin-spin interactions described by the exchange constant J. An external magnetic field his also taken into account. In the narrowband limit and for the 1D case, we present the exact solution obtained in the framework of the Green’s function formalism, using the Composite Operator Method. We report the T = 0 phase diagram for both ferro (J > 0) and anti-ferro (J < 0) couplings. The competition of the different energy scales (U, J, and h; being U the local charge interaction) generates a variety of phases and different charge and spin orderings.

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