PIRSA:13100131 Conference

DOI10.48660/13100131

Conference/School: PI-UIUC 2013

Phillips, P. (2013). Unparticles and Fermi Arcs in the Cuprates. Perimeter Institute. https://pirsa.org/13100131

Phillips, Philip. Unparticles and Fermi Arcs in the Cuprates. Perimeter Institute, Nov. 07, 2013, https://pirsa.org/13100131 

@misc{ pirsa_PIRSA:13100131,
  doi = {10.48660/13100131},
  url = {https://pirsa.org/13100131},
  author = {Phillips, Philip},
  keywords = {},
  language = {en},
  title = {Unparticles and Fermi Arcs in the Cuprates},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {nov},
  note = {PIRSA:13100131 see, \url{https://pirsa.org}}
}

Abstract

One of the open problems in strong correlation physics is whether or not Luttinger's theorem works for doped Mott insulators, particularly in the pseudo gap regime where the pole-like excitations form only a Fermi arc. I will begin this talk by using this theorem to count particles and show that it fails in general for the Mott state. The failure stems from the divergent self energy that underlies Mottness. When such a divergence is present, charged degrees of freedom are present that have no particle interpretation. I will argue that such excitations are governed by a non-trivial IR fixed point and the propagator of which is of the unparticle form proposed by Georgi. I will show how a gravity dual can be used to determine the scaling dimension of the unparticle propagator. I will close by elucidating a possible superconducting instability of unparticles and demonstrate that unparticle stuff is likely to display fractional statistics in the dimensionalities of interest for strongly correlated electron matter.  Time permitting, an underlying theory of the strongly coupled fixed point will be outlined.

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