Two-point functions in a holographic Kondo model
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- We develop the formalism of holographic renormalization to compute two-point functions in a holographic Kondo model. The model describes a (0 + 1)-dimensional impurity spin of a gauged SU(N ) interacting with a (1 + 1)-dimensional, large-N , strongly-coupled Conformal Field Theory (CFT). We describe the impurity using Abrikosov pseudo-fermions, and define an SU(N )-invariant scalar operator O built from a pseudo-fermion and a CFT fermion. At large N the Kondo interaction is of the form O\(^{†}\)O, which is marginally relevant, and generates aWe develop the formalism of holographic renormalization to compute two-point functions in a holographic Kondo model. The model describes a (0 + 1)-dimensional impurity spin of a gauged SU(N ) interacting with a (1 + 1)-dimensional, large-N , strongly-coupled Conformal Field Theory (CFT). We describe the impurity using Abrikosov pseudo-fermions, and define an SU(N )-invariant scalar operator O built from a pseudo-fermion and a CFT fermion. At large N the Kondo interaction is of the form O\(^{†}\)O, which is marginally relevant, and generates a Renormalization Group (RG) flow at the impurity. A second-order mean-field phase transition occurs in which O condenses below a critical temperature, leading to the Kondo effect, including screening of the impurity. Via holography, the phase transition is dual to holographic superconductivity in (1 + 1)-dimensional Anti-de Sitter space. At all temperatures, spectral functions of O exhibit a Fano resonance, characteristic of a continuum of states interacting with an isolated resonance. In contrast to Fano resonances observed for example in quantum dots, our continuum and resonance arise from a (0 + 1)-dimensional UV fixed point and RG flow, respectively. In the low-temperature phase, the resonance comes from a pole in the Green’s function of the form −i〈O〉\(^{2}\), which is characteristic of a Kondo resonance.…
Autor(en): | Johanna Erdmenger, Carlos Hoyos, Andy O'Bannon, Ioannis Papadimitriou, Jonas Probst, Jackson M.S. Wu |
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URN: | urn:nbn:de:bvb:20-opus-171139 |
Dokumentart: | Artikel / Aufsatz in einer Zeitschrift |
Institute der Universität: | Fakultät für Physik und Astronomie / Institut für Theoretische Physik und Astrophysik |
Sprache der Veröffentlichung: | Englisch |
Titel des übergeordneten Werkes / der Zeitschrift (Englisch): | Journal of High Energy Physics |
Erscheinungsjahr: | 2017 |
Band / Jahrgang: | 3 |
Heft / Ausgabe: | 39 |
Originalveröffentlichung / Quelle: | Journal of High Energy Physics 2017, Issue 3, Article 39. DOI: 10.1007/JHEP03(2017)039 |
DOI: | https://doi.org/10.1007/JHEP03(2017)039 |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 53 Physik / 539 Moderne Physik |
Freie Schlagwort(e): | AdS-CFT Correspondence; gauge-gravity correspondence; holography and condensed matter physics (AdS/CMT) |
Datum der Freischaltung: | 16.10.2019 |
EU-Projektnummer / Contract (GA) number: | 307955 |
OpenAIRE: | OpenAIRE |
Lizenz (Deutsch): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |