Isolated zeros destroy Fermi surface in holographic models with a lattice

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Balm, Floris, Krikun, Alexander, Romero-Bermúdez, Aurelio, Schalm, Koenraad, Zaanen, Jan
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.10.2019
Subjects
Chemical potential
Density
Fermi surfaces
Green's functions
Organic chemistry
Physics - High Energy Physics - Theory
Physics - Strongly Correlated Electrons
Quantum theory
Shape recognition
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1909.09394