Scrambling versus relaxation in Fermi and non-Fermi liquids

Non-Fermi liquids

Our present understanding of how the interactions between electrons affect the metallic state has, for forty years, rested on the foundations of Landau’s Fermi-liquid theory. It provides the basis for understanding metals in terms of weakly interacting electron (-like) particles. Recent years have seen the discovery of metals which appear to fall outside this framework—perhaps most notably in t...

Non-Fermi liquids from Holography

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We report on a potentially new class of non-Fermi liquids in (2 þ 1)-dimensions. They are identified via the respon...

Cooper pairing in non-Fermi liquids

Max A. Metlitski,1 David F. Mross,2 Subir Sachdev,3,4 and T. Senthil5 1Kavli Institute for Theoretical Physics, UC Santa Barbara, California 93106, USA 2Physics Department, California Institute of Technology, Pasadena, California 91125, USA 3Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 4Perimeter Institute of Theoretical Physics, Waterloo, Ontario, Canada N2L 2...

CCMS Summer 2007 Lecture Series Fermi- and non-Fermi Liquids Lecture 3: Fermi-liquid Theory

Non-linear waves in Fermi liquids

I show that when non-linearities are taken into account the Landau theory of Fermi liquids predicts the existence of hyperbolic waves in fermionic systems. The zero sound is described by a infinite set of coupled non-linear partial differential equations, one for each harmonic of oscillation of the Fermi surface. When just a few harmonics are included it is possible to describe the dynamics of ...