Holographic Kondo and Fano resonances

Holographic Kondo and Fano resonances 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

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.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.021901
Publisher site
See Article on Publisher Site

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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 2017

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