scholarly journals Magnetic Susceptibility of the Orbitally Degenerate (J= 5/2) Periodic Anderson Model - Analysis on the Basis of the Fermi Liquid Theory -

1996 ◽  
Vol 65 (1) ◽  
pp. 172-188 ◽  
Author(s):  
Hiroshi Kontani ◽  
Kosaku Yamada
Keyword(s):  
Magnetic Susceptibility ◽  
Anderson Model ◽  
Fermi Liquid ◽  
Model Analysis ◽  
Periodic Anderson Model ◽  
Fermi Liquid Theory ◽  
Liquid Theory

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.

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

MAGNETIC SUSCEPTIBILITY OF GRAPHENE BY GAUSSIAN CORRECTION

2011 ◽  
Vol 25 (15) ◽  
pp. 1981-1991 ◽  
Author(s):  
PEISONG HE
Keyword(s):  
Magnetic Susceptibility ◽  
Coulomb Interaction ◽  
Fermi Liquid ◽  
Collective Excitations ◽  
Dirac Fermions ◽  
Coulomb Interactions ◽  
Linear Dispersion ◽  
Fermi Liquid Theory ◽  
Liquid Theory ◽  
Spatial Dimensions

In the present paper, we compute the magnetic susceptibility of graphene by using Gaussian correction. The collective excitations away from Fermi points of graphene are gapless, chiral fermions, with linear dispersion. The system is modeled as N massless Dirac fermions in two spatial dimensions interacting with 1/r Coulomb interactions. We find that the magnetic susceptibility is suppressed by the interaction between these collective excitations. And it has ln T correction due to the long-ranged Coulomb interaction, which is different from Landau Fermi liquid theory.

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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