Stability of Fermi Surfaces and K-Theory

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dc.creatorHorava, Petr
dc.date2005-03-01
dc.date.accessioned2026-07-07T11:59:19Z
dc.date.available2026-07-07T11:59:19Z
dc.descriptionNonrelativistic Fermi liquids in d+1 dimensions exhibit generalized Fermi surfaces: (d-p)-dimensional submanifolds in the momentum-frequency space supporting gapless excitations. We show that the universality classes of stable Fermi surfaces are classified by K-theory, with the pattern of stability determined by Bott periodicity. The Atiyah-Bott-Shapiro construction implies that the low-energy modes near a Fermi surface exhibit relativistic invariance in the transverse p+1 dimensions. This suggests an intriguing parallel between norelativistic Fermi liquids and D-branes of string theory.
dc.description4 pages, revtex
dc.identifierhttps://arxiv.org/abs/hep-th/0503006
dc.identifierhttp://arxiv.org/abs/hep-th/0503006
dc.identifierPhys.Rev.Lett.95:016405,2005
dc.identifierdoi:10.1103/PhysRevLett.95.016405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206522
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.subjectAlgebraic Topology
dc.titleStability of Fermi Surfaces and K-Theory
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