Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem
Motivated by recent experiments on Kondo insulators, we theoretically study quantum oscillations from disorder-induced in-gap states in small-gap insulators. By solving a non-Hermitian Landau level problem that incorporates the imaginary part of electron’s self-energy, we show that the oscillation p...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/117115 https://orcid.org/0000-0003-1667-8011 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1826211515456290816 |
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| author | Shen, Huitao Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Shen, Huitao Fu, Liang |
| author_sort | Shen, Huitao |
| collection | MIT |
| description | Motivated by recent experiments on Kondo insulators, we theoretically study quantum oscillations from disorder-induced in-gap states in small-gap insulators. By solving a non-Hermitian Landau level problem that incorporates the imaginary part of electron’s self-energy, we show that the oscillation period is determined by the Fermi surface area in the absence of the hybridization gap, and we derive an analytical formula for the oscillation amplitude as a function of the indirect band gap, scattering rates, and temperature. Over a wide parameter range, we find that the effective mass is controlled by scattering rates, while the Dingle factor is controlled by the indirect band gap. We also show the important effect of scattering rates in reshaping the quasiparticle dispersion in connection with angle-resolved photoemission measurements on heavy fermion materials. |
| first_indexed | 2024-09-23T15:07:13Z |
| format | Article |
| id | mit-1721.1/117115 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:07:13Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1171152022-09-29T12:50:48Z Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem Shen, Huitao Fu, Liang Massachusetts Institute of Technology. Department of Physics Shen, Huitao Fu, Liang Motivated by recent experiments on Kondo insulators, we theoretically study quantum oscillations from disorder-induced in-gap states in small-gap insulators. By solving a non-Hermitian Landau level problem that incorporates the imaginary part of electron’s self-energy, we show that the oscillation period is determined by the Fermi surface area in the absence of the hybridization gap, and we derive an analytical formula for the oscillation amplitude as a function of the indirect band gap, scattering rates, and temperature. Over a wide parameter range, we find that the effective mass is controlled by scattering rates, while the Dingle factor is controlled by the indirect band gap. We also show the important effect of scattering rates in reshaping the quasiparticle dispersion in connection with angle-resolved photoemission measurements on heavy fermion materials. United States. Department of Energy. Division of Materials Sciences and Engineering (Award No. DE-SC0010526) David & Lucile Packard Foundation 2018-07-25T15:55:13Z 2018-07-25T15:55:13Z 2018-07 2018-03 2018-07-12T18:00:23Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/117115 Shen, Huitao and Liang Fu. "Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem." Physical Review Letters 121 (2018), 026403. https://orcid.org/0000-0003-1667-8011 https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevLett.121.026403 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Shen, Huitao Fu, Liang Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem |
| title | Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem |
| title_full | Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem |
| title_fullStr | Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem |
| title_full_unstemmed | Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem |
| title_short | Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem |
| title_sort | quantum oscillation from in gap states and a non hermitian landau level problem |
| url | http://hdl.handle.net/1721.1/117115 https://orcid.org/0000-0003-1667-8011 https://orcid.org/0000-0002-8803-1017 |
| work_keys_str_mv | AT shenhuitao quantumoscillationfromingapstatesandanonhermitianlandaulevelproblem AT fuliang quantumoscillationfromingapstatesandanonhermitianlandaulevelproblem |