Non-fermi liquid fixed point in a Wilsonian theory of quantum critical metals
Date
2015-02
Authors
Rabambi, Teflon Phumudzo
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Recently there has been signi cant interest in new types of metals called non-Fermi
liquids, which cannot be described by Landau Fermi liquid theory. Landau Fermi
liquid theory is a theoretical model used to describe low energy interacting fermions or
quasiparticles. There is a growing interest in constructing an e ective eld theory for
these types of metals. One of the paradigms to understand these metals is by the use
of Wilsonian renormalization group (RG) to study a theoretical toy model consisting
of fermions coupled to a gapless order parameter eld. Here we will study fermions
coupled to gapless bosons (order parameter) below the upper critical dimension (d =
3). We will treat both fermions and bosons on equal footing and construct an e ective
eld theory which only integrates out high momentum modes. Then we compute
the one-loop RG
ows for the Yukawa coupling and four-Fermi interaction. We will
discuss log2 and log3 subleties associated with the one loop RG
ows for the four-Fermi
interaction and how they can be circumvented.
Description
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. Johannesburg, 2015.