Holographic Fermions in Striped Phases

Abstract

We examine the fermionic response in a holographic model of a low temperature striped phase, working for concreteness with the setup we studied in [Cremonini:2016rbd,Cremonini:2017usb], in which a U(1) symmetry and translational invariance are broken spontaneously at the same time. We include an ionic lattice that breaks translational symmetry explicitly in the UV of the theory. Thus, this construction realizes spontaneous crystallization on top of a background lattice. We solve the Dirac equation for a probe fermion in the associated background geometry using numerical techniques, and explore the interplay between spontaneous and explicit breaking of translations. We note that in our model the breaking of the U(1) symmetry doesn't play a role in the analysis of the fermionic spectral function. We investigate under which conditions a Fermi surface can form and focus in particular on how the ionic lattice affects its structure. When the ionic lattice becomes sufficiently strong the spectral weight peaks broaden, denoting a gradual disappearance of the Fermi surface along the symmetry breaking direction. This phenomenon occurs even in the absence of spontaneously generated stripes. The resulting Fermi surface appears to consist of detached segments reminiscent of Fermi arcs.

arXiv commentv2: 43 pages, 20 figures. Major revision, title and abstract modified, new discussion added, conclusions unchanged. To appear in JHEP

References in corpus (49)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Theory of Intertwined Orders in High Temperature Superconductors
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• The doping dependence of T* - what is the real high-Tc phase diagram?
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Non-Fermi liquids from holography
• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• A simple holographic model of momentum relaxation
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Electronic Spectra and Their Relation to the (pi,pi) Collective Mode in High-Tc Superconductors
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Holographic Q-lattices
• Spinors and the AdS/CFT correspondence
• Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• A relation between the resonance neutron peak and ARPES data in cuprates
• The neutron resonance: modeling photoemission and tunneling data in the superconducting state of Bi_2Sr_2CaCu_2O_{8+d}
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
• Metal-insulator Transition by Holographic Charge Density Waves
• Photoemission "experiments" on holographic superconductors
• Dynamically Generated Gap from Holography: Mottness from a Black Hole
• Holographic charge density waves
• Probing optically silent superfluid stripes in cuprates
• Doping the holographic Mott insulator
• Spectral signatures of modulated d-wave superconducting phases
• Intertwined order and holography: the case of the parity breaking pair density wave
• Models of Holographic superconductivity
• Dissolution of topological Fermi arcs in a dirty Weyl semimetal
• Lattice potentials and fermions in holographic non Fermi-liquids: hybridizing local quantum criticality
• Holographic Fermionic Liquid with Lattices
• Holographic Checkerboards
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Holographic Competition of Phases and Superconductivity
• Analytic fermionic Green's functions from holography
• Lectures on holographic non-Fermi liquids and quantum phase transitions
• Peak-Dip-Hump from Holographic Superconductivity
• Holographic Pair and Charge Density Waves
• Minimally packed phases in holography
• Phenomenological Models of Holographic Superconductors and Hall currents
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Commensurate lock-in in holographic non-homogeneous lattices
• Holographic non-relativistic fermionic fixed point and bulk dipole coupling
• Intertwined Orders in Holography: Pair and Charge Density Waves
• Quasi One Dimensional Pair Density Wave Superconducting State
• The Spin of Holographic Electrons at Nonzero Density and Temperature
• Holographic Fermi surfaces at finite temperature in top-down constructions

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