Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum Oscillations
The modern semiclassical theory of a Bloch electron in a magnetic field now encompasses the orbital magnetic moment and the geometric phase. These two notions are encoded in the Bohr-Sommerfeld quantization condition as a phase (λ) that is subleading in powers of the field; λ is measurable in the ph...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2018-02-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.8.011027 |
| _version_ | 1818924755814711296 |
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| author | A. Alexandradinata Chong Wang Wenhui Duan Leonid Glazman |
| author_facet | A. Alexandradinata Chong Wang Wenhui Duan Leonid Glazman |
| author_sort | A. Alexandradinata |
| collection | DOAJ |
| description | The modern semiclassical theory of a Bloch electron in a magnetic field now encompasses the orbital magnetic moment and the geometric phase. These two notions are encoded in the Bohr-Sommerfeld quantization condition as a phase (λ) that is subleading in powers of the field; λ is measurable in the phase offset of the de Haas–van Alphen oscillation, as well as of fixed-bias oscillations of the differential conductance in tunneling spectroscopy. In some solids and for certain field orientations, λ/π are robustly integer valued, owing to the symmetry of the extremal orbit; i.e., they are the topological invariants of magnetotransport. Our comprehensive symmetry analysis identifies solids in any (magnetic) space group for which λ is a topological invariant, as well as the symmetry-enforced degeneracy of Landau levels. The analysis is simplified by our formulation of ten (and only ten) symmetry classes for closed, Fermi-surface orbits. Case studies are discussed for graphene, transition metal dichalcogenides, 3D Weyl and Dirac metals, and crystalline and Z_{2} topological insulators. In particular, we point out that a π phase offset in the fundamental oscillation should not be viewed as a smoking gun for a 3D Dirac metal. |
| first_indexed | 2024-12-20T02:30:23Z |
| format | Article |
| id | doaj.art-84b37dda683c4ec8b10f693910af78fc |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-20T02:30:23Z |
| publishDate | 2018-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-84b37dda683c4ec8b10f693910af78fc2022-12-21T19:56:36ZengAmerican Physical SocietyPhysical Review X2160-33082018-02-018101102710.1103/PhysRevX.8.011027Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum OscillationsA. AlexandradinataChong WangWenhui DuanLeonid GlazmanThe modern semiclassical theory of a Bloch electron in a magnetic field now encompasses the orbital magnetic moment and the geometric phase. These two notions are encoded in the Bohr-Sommerfeld quantization condition as a phase (λ) that is subleading in powers of the field; λ is measurable in the phase offset of the de Haas–van Alphen oscillation, as well as of fixed-bias oscillations of the differential conductance in tunneling spectroscopy. In some solids and for certain field orientations, λ/π are robustly integer valued, owing to the symmetry of the extremal orbit; i.e., they are the topological invariants of magnetotransport. Our comprehensive symmetry analysis identifies solids in any (magnetic) space group for which λ is a topological invariant, as well as the symmetry-enforced degeneracy of Landau levels. The analysis is simplified by our formulation of ten (and only ten) symmetry classes for closed, Fermi-surface orbits. Case studies are discussed for graphene, transition metal dichalcogenides, 3D Weyl and Dirac metals, and crystalline and Z_{2} topological insulators. In particular, we point out that a π phase offset in the fundamental oscillation should not be viewed as a smoking gun for a 3D Dirac metal.http://doi.org/10.1103/PhysRevX.8.011027 |
| spellingShingle | A. Alexandradinata Chong Wang Wenhui Duan Leonid Glazman Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum Oscillations Physical Review X |
| title | Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum Oscillations |
| title_full | Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum Oscillations |
| title_fullStr | Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum Oscillations |
| title_full_unstemmed | Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum Oscillations |
| title_short | Revealing the Topology of Fermi-Surface Wave Functions from Magnetic Quantum Oscillations |
| title_sort | revealing the topology of fermi surface wave functions from magnetic quantum oscillations |
| url | http://doi.org/10.1103/PhysRevX.8.011027 |
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