scholarly journals Quantum Criticality and Formation of a Singular Fermi Liquid in the Attractive SU(N>2) Anderson Model

2019 ◽  
Vol 123 (13) ◽  
Author(s):  
Cătălin Paşcu Moca ◽  
Razvan Chirla ◽  
Balázs Dóra ◽  
Gergely Zaránd
2016 ◽  
Vol 28 (17) ◽  
pp. 175003 ◽  
Author(s):  
Tsan-Pei Wu ◽  
Xiao-Qun Wang ◽  
Guang-Yu Guo ◽  
Frithjof Anders ◽  
Chung-Hou Chung

2012 ◽  
Vol 26 (22) ◽  
pp. 1244003
Author(s):  
C. DI CASTRO ◽  
S. CAPRARA

With particular reference to the role of the renormalization group (RG) approach and Ward identities (WI's), we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional crossover to the Landau normal Fermi liquid implies that a non-Fermi liquid, as, e.g., the normal phase of the cuprate high temperature superconductors, can be maintained in d>1 only in the presence of a sufficiently singular effective interaction among the charge carriers. This is the case when, nearby an instability, the interaction is mediated by critical fluctuations. We are then led to introduce the specific case of superconductivity in cuprates as an example of avoided quantum criticality. We will disentangle the fluctuations which act as mediators of singular electron–electron interaction, enlightening the possible order competing with superconductivity and a mechanism for the non-Fermi-liquid behavior of the metallic phase. This paper is not meant to be a comprehensive review. Many important contributions will not be considered. We will also avoid using extensive technicalities and making full calculations for which we refer to the original papers and to the many good available reviews. We will here only follow one line of reasoning which guided our research activity in this field.


1994 ◽  
Vol 08 (06) ◽  
pp. 367-373 ◽  
Author(s):  
GIUSEPPE E. SANTORO ◽  
GABRIELE F. GIULIANI

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.


Sign in / Sign up

Export Citation Format

Share Document