Wide-range T 2 resistivity and umklapp scattering in moiré graphene
We argue that the unusually strong electron–electron interactions in the narrow bands in moiré superlattices originate from compact Wannier orbitals. Enhanced overlaps of electronic wavefunctions, enabled by such orbitals, result in a strong el–el superlattice umklapp scattering. We identify the umk...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac688c |
| _version_ | 1797748462545010688 |
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| author | Hiroaki Ishizuka Leonid Levitov |
| author_facet | Hiroaki Ishizuka Leonid Levitov |
| author_sort | Hiroaki Ishizuka |
| collection | DOAJ |
| description | We argue that the unusually strong electron–electron interactions in the narrow bands in moiré superlattices originate from compact Wannier orbitals. Enhanced overlaps of electronic wavefunctions, enabled by such orbitals, result in a strong el–el superlattice umklapp scattering. We identify the umklapp scattering processes as a source of the strong temperature-dependent resistivity observed in these systems. In a simple model, the umklapp scattering predicts a T -dependent resistivity that grows as T ^2 with a numerical prefactor that grows as the Wannier orbital radius decreases. We quantify the enhancement in el–el scattering by the Kadowaki–Woods (KW) ratio, a quantity that is sensitive to umklapp scattering but, helpfully, insensitive to the effects due to the high density of electronic states. Our analysis predicts anomalously large KW ratio values that clearly indicate the importance of the umklapp el–el processes and their impact on the T -dependent resistivity. |
| first_indexed | 2024-03-12T16:05:07Z |
| format | Article |
| id | doaj.art-f5bd91e40977438eb612c3f2acf5c399 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:05:07Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-f5bd91e40977438eb612c3f2acf5c3992023-08-09T14:24:44ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124505200110.1088/1367-2630/ac688cWide-range T 2 resistivity and umklapp scattering in moiré grapheneHiroaki Ishizuka0https://orcid.org/0000-0002-5719-4315Leonid Levitov1https://orcid.org/0000-0002-4268-731XDepartment of Physics, Tokyo Institute of Technology , Meguro, Tokyo, 152-8551, JapanDepartment of Physics, Massachusetts Institute of Technology , Cambridge, MA 02139, United States of AmericaWe argue that the unusually strong electron–electron interactions in the narrow bands in moiré superlattices originate from compact Wannier orbitals. Enhanced overlaps of electronic wavefunctions, enabled by such orbitals, result in a strong el–el superlattice umklapp scattering. We identify the umklapp scattering processes as a source of the strong temperature-dependent resistivity observed in these systems. In a simple model, the umklapp scattering predicts a T -dependent resistivity that grows as T ^2 with a numerical prefactor that grows as the Wannier orbital radius decreases. We quantify the enhancement in el–el scattering by the Kadowaki–Woods (KW) ratio, a quantity that is sensitive to umklapp scattering but, helpfully, insensitive to the effects due to the high density of electronic states. Our analysis predicts anomalously large KW ratio values that clearly indicate the importance of the umklapp el–el processes and their impact on the T -dependent resistivity.https://doi.org/10.1088/1367-2630/ac688cFermi liquidT 2 resistivitytwisted bilayer grapheneKadowaki–Woods ratio |
| spellingShingle | Hiroaki Ishizuka Leonid Levitov Wide-range T 2 resistivity and umklapp scattering in moiré graphene New Journal of Physics Fermi liquid T 2 resistivity twisted bilayer graphene Kadowaki–Woods ratio |
| title | Wide-range T 2 resistivity and umklapp scattering in moiré graphene |
| title_full | Wide-range T 2 resistivity and umklapp scattering in moiré graphene |
| title_fullStr | Wide-range T 2 resistivity and umklapp scattering in moiré graphene |
| title_full_unstemmed | Wide-range T 2 resistivity and umklapp scattering in moiré graphene |
| title_short | Wide-range T 2 resistivity and umklapp scattering in moiré graphene |
| title_sort | wide range t 2 resistivity and umklapp scattering in moire graphene |
| topic | Fermi liquid T 2 resistivity twisted bilayer graphene Kadowaki–Woods ratio |
| url | https://doi.org/10.1088/1367-2630/ac688c |
| work_keys_str_mv | AT hiroakiishizuka wideranget2resistivityandumklappscatteringinmoiregraphene AT leonidlevitov wideranget2resistivityandumklappscatteringinmoiregraphene |