The random-phase-approximation in the weak coupling regime of the square lattice half-filled Hubbard model

1992 ◽  
Vol 89 (3) ◽  
pp. 351-354 ◽  
Author(s):  
Peter Kopietz
Keyword(s):  
Hubbard Model ◽  
Weak Coupling ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Square Lattice ◽  
Phase Approximation ◽  
Weak Coupling Regime

Square lattice hard-core bosons within the random phase approximation

2009 ◽  
Vol 80 (17) ◽  
Author(s):  
T. N. Antsygina ◽  
M. I. Poltavskaya ◽  
I. I. Poltavsky ◽  
K. A. Chishko
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Hard Core ◽  
Square Lattice ◽  
Phase Approximation

scholarly journals Role of vertex corrections in the matrix formulation of the random phase approximation for the multiorbital Hubbard model

2016 ◽  
Vol 94 (21) ◽  
Author(s):  
Michaela Altmeyer ◽  
Daniel Guterding ◽  
P. J. Hirschfeld ◽  
Thomas A. Maier ◽  
Roser Valentí ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Matrix Formulation ◽  
Vertex Corrections ◽  
The Matrix

SELF-CONSISTENT T-MATRIX APPROXIMATION TO THE HUBBARD MODEL FOR A FINITE NUMBER OF SITES

2009 ◽  
Vol 23 (16) ◽  
pp. 2049-2062
Author(s):  
MOHSEN JEMAÏ
Keyword(s):  
Finite Number ◽  
Hubbard Model ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Fermi Gas ◽  
Phase Approximation ◽  
Matrix Approximation ◽  
Numerical Effort ◽  
Self Consistent ◽  
T Matrix

Within the 1D Hubbard model, linear closed chains with various numbers of sites are considered in particle–particle self-consistent random phase approximation (SCRPA) for the T-matrix. Encouraging results with a minimal numerical effort are obtained, confirming earlier results with this theory for other models. SCRPA solves the two-site problem exactly. It therefore contains the two electrons and high density Fermi gas limits correctly.

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