Spectral scaling and quantum critical behaviour in the pseudogap Anderson model

The pseudogap Anderson impurity model provides a classic example of an essentially local quantum phase transition. Here we study its single-particle dynamics in the vicinity of the symmetric quantum critical point (QCP) separating generalized Fermi-liquid and local-moment phases, via the local-momen...

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Main Authors: Glossop, M, Logan, D
Format: Journal article
Language:English
Published: 2003
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author Glossop, M
Logan, D
author_facet Glossop, M
Logan, D
author_sort Glossop, M
collection OXFORD
description The pseudogap Anderson impurity model provides a classic example of an essentially local quantum phase transition. Here we study its single-particle dynamics in the vicinity of the symmetric quantum critical point (QCP) separating generalized Fermi-liquid and local-moment phases, via the local-moment approach. Both phases are shown to be characterized by a low-energy scale that vanishes at the QCP; and the universal scaling spectra, on all energy scales, are obtained analytically. The spectrum precisely at the QCP is also obtained; its form showing clearly the non-Fermi-liquid, interacting nature of the fixed point.
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spelling oxford-uuid:ae0b8474-28fa-4eeb-b5cc-0b85a3501c9e2022-03-27T03:39:59ZSpectral scaling and quantum critical behaviour in the pseudogap Anderson modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ae0b8474-28fa-4eeb-b5cc-0b85a3501c9eEnglishSymplectic Elements at Oxford2003Glossop, MLogan, DThe pseudogap Anderson impurity model provides a classic example of an essentially local quantum phase transition. Here we study its single-particle dynamics in the vicinity of the symmetric quantum critical point (QCP) separating generalized Fermi-liquid and local-moment phases, via the local-moment approach. Both phases are shown to be characterized by a low-energy scale that vanishes at the QCP; and the universal scaling spectra, on all energy scales, are obtained analytically. The spectrum precisely at the QCP is also obtained; its form showing clearly the non-Fermi-liquid, interacting nature of the fixed point.
spellingShingle Glossop, M
Logan, D
Spectral scaling and quantum critical behaviour in the pseudogap Anderson model
title Spectral scaling and quantum critical behaviour in the pseudogap Anderson model
title_full Spectral scaling and quantum critical behaviour in the pseudogap Anderson model
title_fullStr Spectral scaling and quantum critical behaviour in the pseudogap Anderson model
title_full_unstemmed Spectral scaling and quantum critical behaviour in the pseudogap Anderson model
title_short Spectral scaling and quantum critical behaviour in the pseudogap Anderson model
title_sort spectral scaling and quantum critical behaviour in the pseudogap anderson model
work_keys_str_mv AT glossopm spectralscalingandquantumcriticalbehaviourinthepseudogapandersonmodel
AT logand spectralscalingandquantumcriticalbehaviourinthepseudogapandersonmodel