Generalized Wilson Chain for solving multichannel quantum impurity problems
The Numerical Renormalization Group is used to solve quantum impurity problems, which describe magnetic impurities in metals, nanodevices, and correlated materials within DMFT. Here we present a simple generalization of the Wilson Chain, which improves the scaling of computational cost with the numb...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Physical Society
2013
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| _version_ | 1797080423191281664 |
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| author | Mitchell, A Galpin, MR Wilson-Fletcher, S Logan, D Bulla, R |
| author_facet | Mitchell, A Galpin, MR Wilson-Fletcher, S Logan, D Bulla, R |
| author_sort | Mitchell, A |
| collection | OXFORD |
| description | The Numerical Renormalization Group is used to solve quantum impurity problems, which describe magnetic impurities in metals, nanodevices, and correlated materials within DMFT. Here we present a simple generalization of the Wilson Chain, which improves the scaling of computational cost with the number of channels/bands, bringing new problems within reach. The method is applied to calculate the t-matrix of the three-channel Kondo model at T=0, which shows universal crossovers near non-Fermi liquid critical points. A non-integrable three-impurity problem with three bands is also studied, revealing a rich phase diagram and novel screening/overscreening mechanisms. |
| first_indexed | 2024-03-07T00:59:50Z |
| format | Journal article |
| id | oxford-uuid:895412f7-941c-42d8-92d6-8117758e7bd8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:59:50Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:895412f7-941c-42d8-92d6-8117758e7bd82022-03-26T22:23:49ZGeneralized Wilson Chain for solving multichannel quantum impurity problemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:895412f7-941c-42d8-92d6-8117758e7bd8EnglishSymplectic Elements at OxfordAmerican Physical Society2013Mitchell, AGalpin, MRWilson-Fletcher, SLogan, DBulla, RThe Numerical Renormalization Group is used to solve quantum impurity problems, which describe magnetic impurities in metals, nanodevices, and correlated materials within DMFT. Here we present a simple generalization of the Wilson Chain, which improves the scaling of computational cost with the number of channels/bands, bringing new problems within reach. The method is applied to calculate the t-matrix of the three-channel Kondo model at T=0, which shows universal crossovers near non-Fermi liquid critical points. A non-integrable three-impurity problem with three bands is also studied, revealing a rich phase diagram and novel screening/overscreening mechanisms. |
| spellingShingle | Mitchell, A Galpin, MR Wilson-Fletcher, S Logan, D Bulla, R Generalized Wilson Chain for solving multichannel quantum impurity problems |
| title | Generalized Wilson Chain for solving multichannel quantum impurity
problems |
| title_full | Generalized Wilson Chain for solving multichannel quantum impurity
problems |
| title_fullStr | Generalized Wilson Chain for solving multichannel quantum impurity
problems |
| title_full_unstemmed | Generalized Wilson Chain for solving multichannel quantum impurity
problems |
| title_short | Generalized Wilson Chain for solving multichannel quantum impurity
problems |
| title_sort | generalized wilson chain for solving multichannel quantum impurity problems |
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