Berry phase in the composite Fermi liquid
We derive the definition of the Berry phase for the adiabatic transport of a composite fermion (CF) in a half-filled composite Fermi liquid (CFL). It is found to be different from that adopted in previous investigations by Geraedts et al. For the standard CFL wave function, we analytically show that...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033329 |
| _version_ | 1797211264111345664 |
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| author | Guangyue Ji (棘广跃) Junren Shi (施均仁) |
| author_facet | Guangyue Ji (棘广跃) Junren Shi (施均仁) |
| author_sort | Guangyue Ji (棘广跃) |
| collection | DOAJ |
| description | We derive the definition of the Berry phase for the adiabatic transport of a composite fermion (CF) in a half-filled composite Fermi liquid (CFL). It is found to be different from that adopted in previous investigations by Geraedts et al. For the standard CFL wave function, we analytically show that the Berry curvature is uniformly distributed in the momentum space. For the Jain-Kamilla wave function, we numerically show that its Berry curvature has a continuous distribution inside the Fermi sea and vanishes outside. We conclude that the CF with respect to both the microscopic wave functions is not a massless Dirac particle. |
| first_indexed | 2024-04-24T10:23:43Z |
| format | Article |
| id | doaj.art-5b74a8ff143447b0b2dcb67b17a3591f |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:23:43Z |
| publishDate | 2020-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5b74a8ff143447b0b2dcb67b17a3591f2024-04-12T16:59:43ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303332910.1103/PhysRevResearch.2.033329Berry phase in the composite Fermi liquidGuangyue Ji (棘广跃)Junren Shi (施均仁)We derive the definition of the Berry phase for the adiabatic transport of a composite fermion (CF) in a half-filled composite Fermi liquid (CFL). It is found to be different from that adopted in previous investigations by Geraedts et al. For the standard CFL wave function, we analytically show that the Berry curvature is uniformly distributed in the momentum space. For the Jain-Kamilla wave function, we numerically show that its Berry curvature has a continuous distribution inside the Fermi sea and vanishes outside. We conclude that the CF with respect to both the microscopic wave functions is not a massless Dirac particle.http://doi.org/10.1103/PhysRevResearch.2.033329 |
| spellingShingle | Guangyue Ji (棘广跃) Junren Shi (施均仁) Berry phase in the composite Fermi liquid Physical Review Research |
| title | Berry phase in the composite Fermi liquid |
| title_full | Berry phase in the composite Fermi liquid |
| title_fullStr | Berry phase in the composite Fermi liquid |
| title_full_unstemmed | Berry phase in the composite Fermi liquid |
| title_short | Berry phase in the composite Fermi liquid |
| title_sort | berry phase in the composite fermi liquid |
| url | http://doi.org/10.1103/PhysRevResearch.2.033329 |
| work_keys_str_mv | AT guangyuejijíguǎngyuè berryphaseinthecompositefermiliquid AT junrenshishījūnrén berryphaseinthecompositefermiliquid |