Isolated zeros destroy Fermi surface in holographic models with a lattice

Abstract We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the corresponding Fermi surfaces, defined by the...

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Main Authors: Floris Balm, Alexander Krikun, Aurelio Romero-Bermúdez, Koenraad Schalm, Jan Zaanen
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)151
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author Floris Balm
Alexander Krikun
Aurelio Romero-Bermúdez
Koenraad Schalm
Jan Zaanen
author_facet Floris Balm
Alexander Krikun
Aurelio Romero-Bermúdez
Koenraad Schalm
Jan Zaanen
author_sort Floris Balm
collection DOAJ
description Abstract We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the corresponding Fermi surfaces, defined by the location of peaks in the spectral density at the Fermi level. We find that at strong lattice potentials sectors of the Fermi surface are unexpectedly destroyed and the Fermi surface becomes an arc-like disconnected manifold. We explain this phenomenon in terms of a collision of the Fermi surface pole with zeros of the fermionic Green’s function, which are explicitly computable in the holographic dual.
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spelling doaj.art-3a27a7694ba8415fb1031e0edf6617e12022-12-21T23:23:57ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113510.1007/JHEP01(2020)151Isolated zeros destroy Fermi surface in holographic models with a latticeFloris Balm0Alexander Krikun1Aurelio Romero-Bermúdez2Koenraad Schalm3Jan Zaanen4Instituut-Lorentz for Theoretical Physics, ∆ITP, Leiden UniversityInstituut-Lorentz for Theoretical Physics, ∆ITP, Leiden UniversityInstituut-Lorentz for Theoretical Physics, ∆ITP, Leiden UniversityInstituut-Lorentz for Theoretical Physics, ∆ITP, Leiden UniversityInstituut-Lorentz for Theoretical Physics, ∆ITP, Leiden UniversityAbstract We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the corresponding Fermi surfaces, defined by the location of peaks in the spectral density at the Fermi level. We find that at strong lattice potentials sectors of the Fermi surface are unexpectedly destroyed and the Fermi surface becomes an arc-like disconnected manifold. We explain this phenomenon in terms of a collision of the Fermi surface pole with zeros of the fermionic Green’s function, which are explicitly computable in the holographic dual.https://doi.org/10.1007/JHEP01(2020)151Holography and condensed matter physics (AdS/CMT)Space-Time Symmetries
spellingShingle Floris Balm
Alexander Krikun
Aurelio Romero-Bermúdez
Koenraad Schalm
Jan Zaanen
Isolated zeros destroy Fermi surface in holographic models with a lattice
Journal of High Energy Physics
Holography and condensed matter physics (AdS/CMT)
Space-Time Symmetries
title Isolated zeros destroy Fermi surface in holographic models with a lattice
title_full Isolated zeros destroy Fermi surface in holographic models with a lattice
title_fullStr Isolated zeros destroy Fermi surface in holographic models with a lattice
title_full_unstemmed Isolated zeros destroy Fermi surface in holographic models with a lattice
title_short Isolated zeros destroy Fermi surface in holographic models with a lattice
title_sort isolated zeros destroy fermi surface in holographic models with a lattice
topic Holography and condensed matter physics (AdS/CMT)
Space-Time Symmetries
url https://doi.org/10.1007/JHEP01(2020)151
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AT koenraadschalm isolatedzerosdestroyfermisurfaceinholographicmodelswithalattice
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