Mottness

dc.creatorPhillips, Philip
dc.date2007-02-14
dc.date.accessioned2026-07-07T07:47:00Z
dc.date.available2026-07-07T07:47:00Z
dc.descriptionWe review several of the normal state properties of the cuprates in an attempt to establish an organizing principle from which pseudogap phenomena, broad spectral features, $T-$linear resistivity, and spectral weight transfer emerge. We first show that standard field theories with a single critical length scale cannot capture the $T-$linear resistivity as long as the charge carriers are critical. What seems to be missing is an additional length scale, which may or may not be critical. Second, we prove a generalised version of Luttinger's theorem for a Mott insulator. Namely, regardless of the spatial dimension, the Fermi surface of the non-interacting system is converted into a surface of zeros of the single-particle Green function when the Mott insulator posesses particle-hole symmetry. Only in the presence of particle-hole symmetry does the volume of the surface of zeros equal the particle density. The surface of zeros persists at finite doping and is shown to provide a framework from which pseudogaps, broad spectral features, spectral weight transfer on the Mott gap scale can be understood.
dc.identifierhttps://arxiv.org/abs/cond-mat/0702348
dc.identifierhttp://arxiv.org/abs/cond-mat/0702348
dc.identifierAnnals of Physics, vol. 321, 1634-1650 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124019
dc.subjectStrongly Correlated Electrons
dc.titleMottness
dc.typetext

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