Ground States of the Hubbard Model

1994 ◽  
pp. 39-49
Author(s):  
Assa Auerbach
Keyword(s):  
Hubbard Model ◽  
Ground States

scholarly journals A comparison of optimal doping behaviors between d- and s*-wave superconducting ground states

2021 ◽  
Vol 67 (2 Mar-Apr) ◽  
pp. 312
Author(s):  
B. Millán ◽  
I. J. Hernández-Hernández ◽  
L. A. Pérez ◽  
J. Samuel Millán
Keyword(s):  
Hubbard Model ◽  
Ground States ◽  
S Wave ◽  
Optimal Doping ◽  
Thermodynamical Properties ◽  
Half Filling ◽  
Generalized Hubbard Model ◽  
D Wave

In a previous work reported in this journal, the thermodynamical properties of d-wave superconducting ground states close to half filling were obtained by using a generalized Hubbard model.

scholarly journals THE SAWTOOTH CHAIN: FROM HEISENBERG SPINS TO HUBBARD ELECTRONS

2008 ◽  
Vol 22 (25n26) ◽  
pp. 4418-4433 ◽  
Author(s):  
J. RICHTER ◽  
O. DERZHKO ◽  
A. HONECKER
Keyword(s):  
Low Temperature ◽  
Hubbard Model ◽  
Heisenberg Model ◽  
Chemical Potential ◽  
Ground States ◽  
High Magnetic Fields ◽  
Thermodynamic Quantities ◽  
Saturation Field ◽  
Ground State Degeneracy ◽  
Characteristic Features

We report on recent studies of the spin-half Heisenberg and the Hubbard model on the sawtooth chain. For both models we construct a class of exact eigenstates which are localized due to the frustrating geometry of the lattice for a certain relation of the exchange (hopping) integrals. Although these eigenstates differ in details for the two models because of the different statistics, they share some characteristic features. The localized eigenstates are highly degenerate and become ground states in high magnetic fields (Heisenberg model) or at certain electron fillings (Hubbard model), respectively. They may dominate the low-temperature thermodynamics and lead to an extra low-temperature maximum in the specific heat. The ground-state degeneracy can be calculated exactly by a mapping of the manifold of localized ground states onto a classical hard-dimer problem, and explicit expressions for thermodynamic quantities can be derived which are valid at low temperatures near the saturation field for the Heisenberg model or around a certain value of the chemical potential for the Hubbard model, respectively.

Spin-Peierls ground states and frustration in a multiband Peierls-Hubbard model

1993 ◽  
Vol 70 (22) ◽  
pp. 3498-3501 ◽  
Author(s):  
H. Röder ◽  
A. R. Bishop ◽  
J. Tinka Gammel
Keyword(s):  
Hubbard Model ◽  
Ground States

scholarly journals Ground States of the Spin-1 Bose-Hubbard Model

2013 ◽  
Vol 110 (13) ◽  
Author(s):  
Hosho Katsura ◽  
Hal Tasaki
Keyword(s):  
Hubbard Model ◽  
Ground States
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