The kinetic theory of ultra-subsonic fermion systems and applications to flat band magic angle twisted bilayer graphene
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913350635487232 |
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| author | Davis, Seth M. Sarma, Sankar Das |
| author_facet | Davis, Seth M. Sarma, Sankar Das |
| contents | The only kinematically-allowed phonon-scattering events for bands of subsonic fermions ($v_F < v_p$) are interband transitions, leading to different low-$T$ transport physics than in the typical supersonic case. We apply a kinetic theory of phonon-limited transport to a generic two-band system of subsonic fermions, deriving formulae for relaxation times and resistivity that are accurate in the limit of close bands and small $v_F/v_p$. We predict regimes of $ρ\propto T$, $ρ\propto T^2$, and perfect conductivity. Our theory predicts linear-in-$T$ resistivity down to a crossover temperature that is suppressed from its supersonic analogue by a factor of $v_F/v_p$, offering a new explanation for low-$T$ "strange metal" behavior observed in flat band systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_09120 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The kinetic theory of ultra-subsonic fermion systems and applications to flat band magic angle twisted bilayer graphene Davis, Seth M. Sarma, Sankar Das Mesoscale and Nanoscale Physics Materials Science The only kinematically-allowed phonon-scattering events for bands of subsonic fermions ($v_F < v_p$) are interband transitions, leading to different low-$T$ transport physics than in the typical supersonic case. We apply a kinetic theory of phonon-limited transport to a generic two-band system of subsonic fermions, deriving formulae for relaxation times and resistivity that are accurate in the limit of close bands and small $v_F/v_p$. We predict regimes of $ρ\propto T$, $ρ\propto T^2$, and perfect conductivity. Our theory predicts linear-in-$T$ resistivity down to a crossover temperature that is suppressed from its supersonic analogue by a factor of $v_F/v_p$, offering a new explanation for low-$T$ "strange metal" behavior observed in flat band systems. |
| title | The kinetic theory of ultra-subsonic fermion systems and applications to flat band magic angle twisted bilayer graphene |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2305.09120 |