Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetal
We study a two-band dispersive Sachdev-Ye-Kitaev (SYK) model in 1+1 dimension. We suggest a model that describes a semimetal with quadratic dispersion at half filling. We compute the Green's function at the saddle point using a combination of analytical and numerical methods. Employing a scalin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.013145 |
| _version_ | 1827285565739892736 |
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| author | Geo Jose Kangjun Seo Bruno Uchoa |
| author_facet | Geo Jose Kangjun Seo Bruno Uchoa |
| author_sort | Geo Jose |
| collection | DOAJ |
| description | We study a two-band dispersive Sachdev-Ye-Kitaev (SYK) model in 1+1 dimension. We suggest a model that describes a semimetal with quadratic dispersion at half filling. We compute the Green's function at the saddle point using a combination of analytical and numerical methods. Employing a scaling symmetry of the Schwinger-Dyson equations that becomes transparent in the strongly dispersive limit, we show that the exact solution of the problem yields a distinct type of non-Fermi liquid with sublinear ρ∝T^{2/5} temperature dependence of the resistivity. A scaling analysis indicates that this state corresponds to the fixed point of the dispersive SYK model for a quadratic band touching semimetal. |
| first_indexed | 2024-04-24T10:15:46Z |
| format | Article |
| id | doaj.art-0c0fa8e1cbbd4edf9aa9cbdd650b384d |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:46Z |
| publishDate | 2022-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-0c0fa8e1cbbd4edf9aa9cbdd650b384d2024-04-12T17:18:26ZengAmerican Physical SocietyPhysical Review Research2643-15642022-02-014101314510.1103/PhysRevResearch.4.013145Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetalGeo JoseKangjun SeoBruno UchoaWe study a two-band dispersive Sachdev-Ye-Kitaev (SYK) model in 1+1 dimension. We suggest a model that describes a semimetal with quadratic dispersion at half filling. We compute the Green's function at the saddle point using a combination of analytical and numerical methods. Employing a scaling symmetry of the Schwinger-Dyson equations that becomes transparent in the strongly dispersive limit, we show that the exact solution of the problem yields a distinct type of non-Fermi liquid with sublinear ρ∝T^{2/5} temperature dependence of the resistivity. A scaling analysis indicates that this state corresponds to the fixed point of the dispersive SYK model for a quadratic band touching semimetal.http://doi.org/10.1103/PhysRevResearch.4.013145 |
| spellingShingle | Geo Jose Kangjun Seo Bruno Uchoa Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetal Physical Review Research |
| title | Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetal |
| title_full | Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetal |
| title_fullStr | Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetal |
| title_full_unstemmed | Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetal |
| title_short | Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one-dimensional incoherent semimetal |
| title_sort | non fermi liquid behavior in the sachdev ye kitaev model for a one dimensional incoherent semimetal |
| url | http://doi.org/10.1103/PhysRevResearch.4.013145 |
| work_keys_str_mv | AT geojose nonfermiliquidbehaviorinthesachdevyekitaevmodelforaonedimensionalincoherentsemimetal AT kangjunseo nonfermiliquidbehaviorinthesachdevyekitaevmodelforaonedimensionalincoherentsemimetal AT brunouchoa nonfermiliquidbehaviorinthesachdevyekitaevmodelforaonedimensionalincoherentsemimetal |