PIRSA:12070009 Scientific Series Condensed Matter

DOI10.48660/12070009

Series: Quantum Matter

Sachdev, S. (2012). Entangling Superconductivity and antiferromagnetism: Quantum Monte Carlo without the sign Problem. Perimeter Institute. https://pirsa.org/12070009

Sachdev, Subir. Entangling Superconductivity and antiferromagnetism: Quantum Monte Carlo without the sign Problem. Perimeter Institute, Jul. 11, 2012, https://pirsa.org/12070009 

@misc{ pirsa_PIRSA:12070009,
  doi = {10.48660/12070009},
  url = {https://pirsa.org/12070009},
  author = {Sachdev, Subir},
  keywords = {Condensed Matter},
  language = {en},
  title = {Entangling Superconductivity and antiferromagnetism: Quantum Monte Carlo without the sign Problem},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {jul},
  note = {PIRSA:12070009 see, \url{https://pirsa.org}}
}

Abstract

It has long been known that a metal near an instability to antiferromagnetism also has a weak-coupling Cooper instability to spin-singlet d-wave-like superconductivity. However, the theory of the antiferromagnetic quantum critical point flows to strong-coupling in two spatial dimensions, and so the fate of the superconductivity has also been unclear. I will describe a method to realize the generic antiferromagnetic quantum critical in a metal in a sign-problem-free Monte Carlo simulation. Results showing Fermi surface reconstruction and unconventional spin-singlet superconductivity across the critical point are obtained.

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