scholarly journals Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes

2001 ◽  
Vol 64 (20) ◽  
Author(s):  
S. Bellucci ◽  
J. González
Keyword(s):  
Carbon Nanotubes ◽  
Fermi Liquid ◽  
Luttinger Liquid ◽  
Marginal Fermi Liquid ◽  
Liquid Behavior

scholarly journals LUTTINGER LIQUID, SINGULAR INTERACTION AND QUANTUM CRITICALITY IN CUPRATE MATERIALS

2012 ◽  
Vol 26 (22) ◽  
pp. 1244003
Author(s):  
C. DI CASTRO ◽  
S. CAPRARA
Keyword(s):  
Fermi Liquid ◽  
High Temperature Superconductors ◽  
Effective Interaction ◽  
Luttinger Liquid ◽  
Metallic Phase ◽  
Quantum Criticality ◽  
Electron Interaction ◽  
Research Activity ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior

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.

Pseudo-marginal-Fermi-liquid behavior in antiferromagnetic metals

1995 ◽  
Vol 52 (9) ◽  
pp. 6181-6184 ◽  
Author(s):  
V. Yu Irkhin ◽  
M. I. Katsnelson
Keyword(s):  
Fermi Liquid ◽  
Marginal Fermi Liquid ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior
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