Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model

Abstract

When non-magnetic impurity immerses in Fermi sea, a regular modulation of charge density around impurity will appear and such phenomena is called Friedel oscillation (FO). Although both Luttinger liquid and Landau Fermi liquid show such characteristic oscillation, FO in generic non-Fermi liquid (NFL) phase is still largely unknown. Here, we show that FO indeed exists in NFL state of an exactly solvable model, i.e. the Hatsugai-Kohmoto model which has been intensively explored in recent years. Combining T-matrix approximation and linear-response-theory, an interesting picture emerges, if two interaction-induced quasi-particles bands in NFL are partially occupied, FO in this situation is determined by a novel structure in momentum space, i.e. the 'average Fermi surface' (average over two quasi-particle Fermi surface), which highlights the inter-band particle-hole excitation. We hope our study here provides a counterintuitive example in which FO with Fermi surface coexists with NFL quasi-particle, and it may be useful to detect hidden 'average Fermi surface' structure in other correlated electron systems.

11 pages, 13 figures. Typos are fixed and more discussions are added

References in corpus (25)

• The numerical renormalization group method for quantum impurity systems
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Critical fermi surfaces and non-fermi liquid metals
• Theory of a continuous Mott transition in two dimensions
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Doped Mott Insulators Break ${\mathbb{Z}}_2$ Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
• Solvable Periodic Anderson Model with Infinite-Range Hatsugai-Kohmoto Interaction: Ground-states and beyond
• Exactly solvable model of Fermi arcs and pseudogap
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• Thermodynamics of an Exactly Solvable Model for Superconductivity in a Doped Mott Insulator
• Two-stage superconductivity in the Hatsugai-Kohmoto-BCS model
• Alternative Kondo breakdown mechanism: Orbital-selective orthogonal metal transition
• Topological $s$-wave superconductors driven by electron correlation
• Local Entropies across the Mott Transition in an Exactly Solvable Model
• Superconductivity from Luttinger surfaces: Emergent $\infty$-body SYK physics
• Quantum oscillations in a doped Mott insulator beyond Onsager's relation
• Screening of a single impurity and Friedel oscillations in Fermi liquids
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Non-Fermi liquid behavior in a simple model of Fermi arcs and pseudogap
• Notes on Quantum oscillation for Hatsugai-Kohmoto model
• Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit
• Dilute magnetic moments in an exactly solvable interacting host

Cited by in corpus (9)

• Fermi and Luttinger arcs: two concepts, realized on one surface
• Real-space analysis of Hatsugai-Kohmoto interaction
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Quasiparticle scattering interference in cuprate superconductors
• Fate of gapless edge states in two-dimensional topological insulators with Hatsugai-Kohmoto interaction
• Enhanced Superconducting Diode Effect in the Asymmetric Hatsugai-Kohmoto Model
• Interaction enhanced altermagnet in the Hatsugai-Kohmoto model
• Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations