scholarly journals Resonant impurity scattering in a strongly correlated electron model

1994 ◽  
Vol 72 (6) ◽  
pp. 884-887 ◽  
Author(s):  
D. Poilblanc ◽  
D. J. Scalapino ◽  
W. Hanke
1999 ◽  
Vol 13 (20) ◽  
pp. 2607-2627 ◽  
Author(s):  
EMMANUELE CAPPELLUTI ◽  
ROLAND ZEYHER

We study the 1/N expansion of a generic, strongly correlated electron model ( SU (N) symmetric Hubbard model with U=∞ and N degrees of freedom per lattice site) in terms of X operators. The leading order of the expansion describes a usual Fermi liquid with renormalized, stable particles. The next-to-leading order violates Luttinger's theorem if a finite convergence radius for the 1/N expansion for a fixed and non-vanishing doping away from half-filling is assumed. We find that the volume enclosed by the Fermi surface, is at large, but finite N's and small dopings larger than at N=∞. As a by-product an explicit expression for the electronic self-energy in O(1/N) is given which cannot be obtained by factorization or mode-coupling assumptions but contains rather sophisticated vertex corrections.


1998 ◽  
Vol 13 (25) ◽  
pp. 4309-4324 ◽  
Author(s):  
A. LIMA-SANTOS ◽  
I. RODITI ◽  
A. FOERSTER

A recently proposed strongly correlated electron system associated with the Temperley–Lieb algebra is solved by means of the coordinate Bethe ansatz for periodic and closed boundary conditions.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Van Hien-Hoang ◽  
Nak-Kwan Chung ◽  
Heon-Jung Kim

AbstractThe Kondo effect has been a topic of intense study because of its significant contribution to the development of theories and understanding of strongly correlated electron systems. In this work, we show that the Kondo effect is at work in La1−xPrxNiO3−δ (0 ≤ x ≤ 0.6) thin films. At low temperatures, the local magnetic moments of the 3d eg electrons in Ni2+, which form because of oxygen vacancies, interact strongly with itinerant electrons, giving rise to an upturn in resistivity with x ≥ 0.2. Observation of negative magnetoresistance, described by the Khosla and Fisher model, further supports the Kondo picture. This case represents a rare example of the Kondo effect, where Ni2+ acts as an impurity in the background of Ni3+. We suggest that when Ni2+ does not participate in the regular lattice, it provides the local magnetic moments needed to scatter the conduction electrons in the Kondo effect. These results offer insights into emergent transport behaviors in metallic nickelates with mixed Ni3+ and Ni2+ ions, as well as structural disorder.


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