Holographic mean field theory and Kondo lattice
Abstract We first study a non-relativistic field theory model for the Kondo lattice by introducing the Kondo condensation, whose main effect is the hybridization of the flat band of the localized electron with dispersive one of the itinerant electron. The problem here is that the resulting Kondo con...
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| Format: | Article |
| Language: | English |
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2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)123 |
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| author | Young-Kwon Han Debabrata Ghorai Taewon Yuk Sang-Jin Sin |
| author_facet | Young-Kwon Han Debabrata Ghorai Taewon Yuk Sang-Jin Sin |
| author_sort | Young-Kwon Han |
| collection | DOAJ |
| description | Abstract We first study a non-relativistic field theory model for the Kondo lattice by introducing the Kondo condensation, whose main effect is the hybridization of the flat band of the localized electron with dispersive one of the itinerant electron. The problem here is that the resulting Kondo condensation arises only in strong coupling where the validity of the mean field theory is questionable. Therefore, we build a holographic mean field theory of the Kondo lattice with strong coupling by identifying the effect of the lattice with the fermion’s spectral shape due to the coupling with the order parameter representing the symmetry breaking. For the flat band spectrum we use the mixed quantization, and for the dispersive spectrum we intoduce the second fermion in standard quantization. The coupling of the two fermions with the scalar order representing the Kondo condensation provides the hybrization of the two spectrum, reproducing the main feature of the Kondo lattice together with the fuzzy character of the spectrum of the strongly coupled system. |
| format | Article |
| id | doaj-art-e0acef563f774bd090ab385358251f34 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e0acef563f774bd090ab385358251f342025-01-05T12:06:46ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212810.1007/JHEP12(2024)123Holographic mean field theory and Kondo latticeYoung-Kwon Han0Debabrata Ghorai1Taewon Yuk2Sang-Jin Sin3Department of Physics, Hanyang UniversityDepartment of Physics, Hanyang UniversityDepartment of Physics, Hanyang UniversityDepartment of Physics, Hanyang UniversityAbstract We first study a non-relativistic field theory model for the Kondo lattice by introducing the Kondo condensation, whose main effect is the hybridization of the flat band of the localized electron with dispersive one of the itinerant electron. The problem here is that the resulting Kondo condensation arises only in strong coupling where the validity of the mean field theory is questionable. Therefore, we build a holographic mean field theory of the Kondo lattice with strong coupling by identifying the effect of the lattice with the fermion’s spectral shape due to the coupling with the order parameter representing the symmetry breaking. For the flat band spectrum we use the mixed quantization, and for the dispersive spectrum we intoduce the second fermion in standard quantization. The coupling of the two fermions with the scalar order representing the Kondo condensation provides the hybrization of the two spectrum, reproducing the main feature of the Kondo lattice together with the fuzzy character of the spectrum of the strongly coupled system.https://doi.org/10.1007/JHEP12(2024)123Holography and Condensed Matter Physics (AdS/CMT)AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Young-Kwon Han Debabrata Ghorai Taewon Yuk Sang-Jin Sin Holographic mean field theory and Kondo lattice Journal of High Energy Physics Holography and Condensed Matter Physics (AdS/CMT) AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Holographic mean field theory and Kondo lattice |
| title_full | Holographic mean field theory and Kondo lattice |
| title_fullStr | Holographic mean field theory and Kondo lattice |
| title_full_unstemmed | Holographic mean field theory and Kondo lattice |
| title_short | Holographic mean field theory and Kondo lattice |
| title_sort | holographic mean field theory and kondo lattice |
| topic | Holography and Condensed Matter Physics (AdS/CMT) AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP12(2024)123 |
| work_keys_str_mv | AT youngkwonhan holographicmeanfieldtheoryandkondolattice AT debabrataghorai holographicmeanfieldtheoryandkondolattice AT taewonyuk holographicmeanfieldtheoryandkondolattice AT sangjinsin holographicmeanfieldtheoryandkondolattice |