Recent Developments in Non-Fermi Liquid Theory

Understand

Non-Fermi liquids arise when metals are subject to singular interactions mediated by soft collective modes.

• In the absence of well-defined quasiparticle, universal physics of non-Fermi liquids is captured by interacting field theories which replace Landau Fermi liquid theory.
• In this review, we discuss two approaches that have been recently developed for non-Fermi liquid theory with emphasis on two space dimensions.
• The first is a perturbative scheme based on a dimensional regularization, which achieves a controlled access to the low-energy physics by tuning the number of co-dimensions of Fermi surface.