PIRSA:22080002 Scientific Series Condensed Matter

DOI10.48660/22080002

Series: Quantum Matter

Goldman, H. (2022). Exact results for metallic quantum critical points. Perimeter Institute. https://pirsa.org/22080002

Goldman, Hart. Exact results for metallic quantum critical points. Perimeter Institute, Aug. 11, 2022, https://pirsa.org/22080002 

@misc{ pirsa_PIRSA:22080002,
  doi = {10.48660/22080002},
  url = {https://pirsa.org/22080002},
  author = {Goldman, Hart},
  keywords = {Condensed Matter},
  language = {en},
  title = {Exact results for metallic quantum critical points},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {aug},
  note = {PIRSA:22080002 see, \url{https://pirsa.org}}
}

Abstract

I discuss how exact, non-perturbative results can be obtained for both optical transport and static susceptibilities in “Hertz-Millis” theories of Fermi surfaces coupled to critical bosons. Such models possess a large emergent symmetry and anomaly structure, which we leverage to fix these quantities. In particular, I will show that in the infrared limit, the boson self energy at zero wave vector is a constant independent of frequency, and the real part of the optical conductivity is purely a delta function Drude peak with no other corrections. I will also obtain exact relations between Fermi liquid parameters as the critical point is approached from the disordered phase. 

Zoom Link:  https://pitp.zoom.us/j/93340611986?pwd=cisrZmFxcEVWZVdrT2tMRVZiVTdRQT09

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