Singular responses of spin-incoherent Luttinger liquids

dc.creatorFiete, Gregory A.
dc.date2008-12-23
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:06Z
dc.date.available2026-07-07T13:01:06Z
dc.descriptionWhen a local potential changes abruptly in time, an electron gas shifts to a new state which at long times is orthogonal to the one in the absence of the local potential. This is known as Anderson's orthogonality catastrophe and it is relevant for the so-called X-ray edge or Fermi edge singularity, and for tunneling into an interacting one dimensional system of fermions. It often happens that the finite frequency response of the photon absorption or the tunneling density of states exhibits a singular behavior as a function of frequency: $(\frac{ω_{\rm th}}{ω-ω_{\rm th}})^αΘ(ω-ω_{\rm th})$ where $ω_{\rm th}$ is a threshold frequency and $α$ is an exponent characterizing the singular response. In this paper singular responses of spin-incoherent Luttinger liquids are reviewed. Such responses most often do not fall into the familiar form above, but instead typically exhibit logarithmic corrections and display a much higher universality in terms of the microscopic interactions in the theory. Specific predictions are made, the current experimental situation is summarized, and key outstanding theoretical issues related to spin-incoherent Luttinger liquids are highlighted.
dc.description21 pages, 3 figures. Invited Topical Review Article
dc.identifierhttps://arxiv.org/abs/0812.4452
dc.identifierhttp://arxiv.org/abs/0812.4452
dc.identifierJ. Phys.: Condens. Matter 21, 193201 (2009)
dc.identifierdoi:10.1088/0953-8984/21/19/193201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226049
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleSingular responses of spin-incoherent Luttinger liquids
dc.typetext

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