Holographic Kondo and Fano Resonances

Abstract

We use holography to study a $(1+1)$-dimensional Conformal Field Theory (CFT) coupled to an impurity. The CFT is an $SU(N)$ gauge theory at large $N$, with strong gauge interactions. The impurity is an $SU(N)$ spin. We trigger an impurity Renormalization Group (RG) flow via a Kondo coupling. The Kondo effect occurs only below the critical temperature of a large-$N$ mean-field transition. We show that at all temperatures $T$, impurity spectral functions exhibit a Fano resonance, which in the low-$T$ phase is a large-$N$ manifestation of the Kondo resonance. We thus provide an example in which the Kondo resonance survives strong correlations, and uncover a novel mechanism for generating Fano resonances, via RG flows between $(0+1)$-dimensional fixed points

arXiv comment5 pages + references, 6 figures; v2: discussion clarified, references added; as accepted by PRD

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Cited by in corpus (7)

• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Quantum Quenches in a Holographic Kondo Model
• Conformal field theory analysis for QCD Kondo effect
• Non-equilibrium dynamics in Holography
• Log-rise of the Resistivity in the Holographic Kondo Model
• Introduction to Gauge/Gravity Duality (TASI Lectures 2017)
• Holographic mean field theory and Kondo lattice