Quantum description of Fermi arcs in Weyl semimetals in a magnetic field
For a Weyl semimetal (WSM) in a magnetic field, a semiclassical description of the Fermi-arc surface state dynamics is usually employed for explaining various unconventional magnetotransport phenomena, e.g., Weyl orbits, the three-dimensional quantum Hall effect, and the high transmission through tw...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-11-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.043201 |
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| _version_ | 1850267947334893568 |
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| author | Tim Bauer Francesco Buccheri Alessandro De Martino Reinhold Egger |
| author_facet | Tim Bauer Francesco Buccheri Alessandro De Martino Reinhold Egger |
| author_sort | Tim Bauer |
| collection | DOAJ |
| description | For a Weyl semimetal (WSM) in a magnetic field, a semiclassical description of the Fermi-arc surface state dynamics is usually employed for explaining various unconventional magnetotransport phenomena, e.g., Weyl orbits, the three-dimensional quantum Hall effect, and the high transmission through twisted WSM interfaces. For a half-space geometry, we determine the low-energy quantum eigenstates for a four-band model of a WSM in a magnetic field perpendicular to the surface. The eigenstates correspond to in- and out-going chiral Landau level (LL) states, propagating (anti)parallel to the field direction near different Weyl nodes, which are coupled by evanescent surface-state contributions generated by all other LLs. These replace the Fermi arc in a magnetic field. Computing the phase shift accumulated between in- and out-going chiral LL states, we compare our quantum-mechanical results to semiclassical predictions. We find quantitative agreement between both approaches. |
| format | Article |
| id | doaj-art-07b32df6f7f74e6a8d37b2b10b67afe6 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-07b32df6f7f74e6a8d37b2b10b67afe62025-08-20T01:53:35ZengAmerican Physical SocietyPhysical Review Research2643-15642024-11-016404320110.1103/PhysRevResearch.6.043201Quantum description of Fermi arcs in Weyl semimetals in a magnetic fieldTim BauerFrancesco BuccheriAlessandro De MartinoReinhold EggerFor a Weyl semimetal (WSM) in a magnetic field, a semiclassical description of the Fermi-arc surface state dynamics is usually employed for explaining various unconventional magnetotransport phenomena, e.g., Weyl orbits, the three-dimensional quantum Hall effect, and the high transmission through twisted WSM interfaces. For a half-space geometry, we determine the low-energy quantum eigenstates for a four-band model of a WSM in a magnetic field perpendicular to the surface. The eigenstates correspond to in- and out-going chiral Landau level (LL) states, propagating (anti)parallel to the field direction near different Weyl nodes, which are coupled by evanescent surface-state contributions generated by all other LLs. These replace the Fermi arc in a magnetic field. Computing the phase shift accumulated between in- and out-going chiral LL states, we compare our quantum-mechanical results to semiclassical predictions. We find quantitative agreement between both approaches.http://doi.org/10.1103/PhysRevResearch.6.043201 |
| spellingShingle | Tim Bauer Francesco Buccheri Alessandro De Martino Reinhold Egger Quantum description of Fermi arcs in Weyl semimetals in a magnetic field Physical Review Research |
| title | Quantum description of Fermi arcs in Weyl semimetals in a magnetic field |
| title_full | Quantum description of Fermi arcs in Weyl semimetals in a magnetic field |
| title_fullStr | Quantum description of Fermi arcs in Weyl semimetals in a magnetic field |
| title_full_unstemmed | Quantum description of Fermi arcs in Weyl semimetals in a magnetic field |
| title_short | Quantum description of Fermi arcs in Weyl semimetals in a magnetic field |
| title_sort | quantum description of fermi arcs in weyl semimetals in a magnetic field |
| url | http://doi.org/10.1103/PhysRevResearch.6.043201 |
| work_keys_str_mv | AT timbauer quantumdescriptionoffermiarcsinweylsemimetalsinamagneticfield AT francescobuccheri quantumdescriptionoffermiarcsinweylsemimetalsinamagneticfield AT alessandrodemartino quantumdescriptionoffermiarcsinweylsemimetalsinamagneticfield AT reinholdegger quantumdescriptionoffermiarcsinweylsemimetalsinamagneticfield |