scholarly journals Anomalous chiral Luttinger liquid behavior of diluted fractionally charged quasiparticles

2003 ◽  
Vol 67 (20) ◽  
Author(s):  
Y. C. Chung ◽  
M. Heiblum ◽  
Y. Oreg ◽  
V. Umansky ◽  
D. Mahalu
Keyword(s):  
Luttinger 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.

Luttinger Liquid Behavior of Long GaAs Quantum Wires

2013 ◽  
pp. 319-327
Author(s):  
E. Levy ◽  
I. Sternfeld ◽  
M. Eshkol ◽  
M. Karpovski ◽  
A. Palevski ◽  
...  
Keyword(s):  
Quantum Wires ◽  
Luttinger Liquid ◽  
Liquid Behavior

scholarly journals PHYSICAL PROPERTIES OF METALS FROM A RENORMALIZATION GROUP STANDPOINT

1996 ◽  
Vol 10 (07) ◽  
pp. 847-862 ◽  
Author(s):  
CHETAN NAYAK ◽  
FRANK WILCZEK
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Transport Coefficients ◽  
Luttinger Liquid ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Luttinger Liquids ◽  
Renormalization Group Equations ◽  
Liquid Behavior ◽  
Normal State Properties

We derive the equilibrium and transport properties of metals using renormalization group equations and finite-size scaling. Particular attention is given to the well-known cases of Fermi and Luttinger liquids. An important subtlety is that the temperature dependence of many transport coefficients is determined by "dangerous" irrelevant operators. We also characterize violations of Fermi or Luttinger liquid behavior in terms of indices, analogous to the critical indices describing phase transitions. We briefly consider the normal-state properties of the cuprates from this standpoint.

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