PIRSA:14050014 Conference

DOI10.48660/14050014

Conference/School: 4 Corners Southwest Ontario Condensed Matter Physics Symposium 2014

Mandal, I. (2014). Renormalization Group Analysis of a Non-Fermi Liquid System. Perimeter Institute. https://pirsa.org/14050014

Mandal, Ipsita. Renormalization Group Analysis of a Non-Fermi Liquid System. Perimeter Institute, May. 01, 2014, https://pirsa.org/14050014 

@misc{ pirsa_PIRSA:14050014,
  doi = {10.48660/14050014},
  url = {https://pirsa.org/14050014},
  author = {Mandal, Ipsita},
  keywords = {},
  language = {en},
  title = {Renormalization Group Analysis of a Non-Fermi Liquid System},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {may},
  note = {PIRSA:14050014 see, \url{https://pirsa.org}}
}

Abstract

We devise a renormalization group analysis for quantum field theories with Fermi surface to study scaling behaviour of non- Fermi liquid states in a controlled approximation. The non-Fermi liquid fixed points are identified from a Fermi surface in (m+1) spatial dimensions, while the co-dimension of Fermi surface is also extended to a generic value. We also study superconducting instability in such systems as a function of dimension and co-dimension of the Fermi surface. The key point in this whole analysis is that unlike in relativistic QFT, the Fermi momentum kF enters as a dimensionful parameter, thus modifying the naive scaling arguments. The effective coupling constant is found to be a combination of the original coupling constant and kF.

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