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The Fermi Liquid as an Ordered Phase: Universal Properties of Magnetic and Non-Magnetic Metals

Speaker: 
Dietrich Belitz (University of Oregon, USA)
Date: 
Tue, 15/01/2013 - 11:00am to 12:00pm
Location: 
S13-M01-11 (Physics Conference Room)
Event Type: 
Seminars

Abstract

Many observables in a Fermi liquid, such as the density of states, the specific heat, and the spin susceptibility, are nonanalytic functions of the temperature, the frequency, or the wave number. I will discuss a general theoretical description of these anomalies, their origins, and their consequences. One overarching concept is the description of the Fermi-liquid state as an ordered state with a spontaneously broken continuous symmetry and the density of states as the order parameter. The corresponding Goldstone modes are soft two-particle excitations that cause the nonanalyticities. These get stronger with decreasing dimensionality, and suggest a possible correlation-induced instability of the Fermi-liquid state in d=2. They also have profound consequences for the ferromagnetic quantum phase transition in metals, which is found to be generically of first order. Various examples of these effects, as well as predictions of the theory, will be discussed, with emphasis on low-dimensional systems.

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