PIRSA:18100075 Scientific Series Condensed Matter

DOI10.48660/18100075

Series: Quantum Matter

Patel, A. (2018). Solvable models of correlated metals with interactions and disorder, and their transport properties. Perimeter Institute. https://pirsa.org/18100075

Patel, Aavishkar. Solvable models of correlated metals with interactions and disorder, and their transport properties. Perimeter Institute, Oct. 16, 2018, https://pirsa.org/18100075 

@misc{ pirsa_PIRSA:18100075,
  doi = {10.48660/18100075},
  url = {https://pirsa.org/18100075},
  author = {Patel, Aavishkar},
  keywords = {Condensed Matter},
  language = {en},
  title = {Solvable models of correlated metals with interactions and disorder, and their transport properties},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {oct},
  note = {PIRSA:18100075 see, \url{https://pirsa.org}}
}

Abstract

Despite much theoretical effort, there is no complete theory of the “strange” metal phase of the high temperature 

superconductors, and its linear-in-temperature resistivity. This phase is believed to be a strongly-interacting metallic 

phase of matter without fermionic quasiparticles, and is virtually impossible to model accurately using traditional

perturbative field-theoretic techniques. Recently, progress has been made using large-N techniques based on the 

solvable Sachdev-Ye-Kitaev (SYK) model, which do not involve expanding about any weakly-coupled limit. I will 

describe constructions of solvable models of strange metals based on SYK-like large-N limits, which can reproduce  

some of the experimentally observed features of strange metals and adjoining phases. These models, and further 

extensions, could possibly pave the way to developing a controlled theoretical understanding of the essential building 

blocks of the electronic state in correlated-electron superconductors near optimal doping.

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