Isolated zeros destroy Fermi surface in holographic models with a lattice
arXiv:1909.09394 · doi:10.1007/JHEP01(2020)151
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.
24 pages, 10 figures, plus appendices; v2: references added
References in corpus (13)
- Real-time response in AdS/CFT with application to spinors
- The thermoelectric properties of inhomogeneous holographic lattices
- Gauge gravity duality for d-wave superconductors: prospects and challenges
- Dynamical Gap and Cuprate-like Physics from Holography
- Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function
- Holographic Fermi arcs and a d-wave gap
- Holographic fermionic system with dipole coupling on Q-lattice
- Minding the Gap in Holographic Models of Interacting Fermions
- Fermi surface behavior in the ABJM M2-brane theory
- Duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling
- Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices
- Probing the Holographic Fermi Arc with scalar field: Numerical and analytical study
- Holographic fermions at strong translational symmetry breaking: a Bianchi-VII case study