scholarly journals Fermi-liquid theory for the single-impurity Anderson model

2015 ◽  
Vol 92 (7) ◽  
Author(s):  
Christophe Mora ◽  
Cătălin Paşcu Moca ◽  
Jan von Delft ◽  
Gergely Zaránd
Keyword(s):  
Anderson Model ◽  
Fermi Liquid ◽  
Fermi Liquid Theory ◽  
Liquid Theory ◽  
Single Impurity

TWO-IMPURITY ANDERSON MODEL: SOME EXACT RESULTS WITH FERMI LIQUID THEORY

1994 ◽  
Vol 08 (06) ◽  
pp. 367-373 ◽  
Author(s):  
GIUSEPPE E. SANTORO ◽  
GABRIELE F. GIULIANI
Keyword(s):  
Anderson Model ◽  
Fermi Liquid ◽  
Phase Shifts ◽  
Symmetric Case ◽  
Green Functions ◽  
Symmetric Model ◽  
Linear Coefficient ◽  
Fermi Liquid Theory ◽  
Liquid Theory ◽  
Single Particle Excitation

We present exact expressions for the conduction electron phase shifts for the two-impurity Anderson model in terms of the impurity Green functions. We show that, for the symmetric model, to all orders in the perturbation theory in U, the only allowed value of the phase shifts is π/2. It is also shown that, quite generally, a vanishing of the phase shifts (signaling a RKKY phase) must be associated with the development of a gap in the impurity single particle excitation spectrum. In the symmetric case this is in turn associated with a divergence of the linear coefficient of the heat capacity. The implications of these results on the physics of the transition from Kondo to RKKY phases are briefly discussed.

Fermi-liquid theory in the low-density two-dimensional Hubbard model

1993 ◽  
Vol 48 (14) ◽  
pp. 10567-10570 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Susumu Kurihara
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Low Density ◽  
Two Dimensional ◽  
Fermi Liquid Theory ◽  
Liquid Theory
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