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...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
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2003
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_version_ | 1826290961299275776 |
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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. |
first_indexed | 2024-03-07T02:52:12Z |
format | Journal article |
id | oxford-uuid:ae0b8474-28fa-4eeb-b5cc-0b85a3501c9e |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:52:12Z |
publishDate | 2003 |
record_format | dspace |
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 |