Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
We show that topological metals lacking time-reversal symmetry have an intrinsic non-quantised component of the anomalous Hall conductivity which is contributed not only by the Berry phase of quasiparticles on the Fermi surface, but also by Fermi-liquid corrections due to the residual interactions a...
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2025-07-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.19.1.014 |
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| author | Ivan Pasqua, Michele Fabrizio |
| author_facet | Ivan Pasqua, Michele Fabrizio |
| author_sort | Ivan Pasqua, Michele Fabrizio |
| collection | DOAJ |
| description | We show that topological metals lacking time-reversal symmetry have an intrinsic non-quantised component of the anomalous Hall conductivity which is contributed not only by the Berry phase of quasiparticles on the Fermi surface, but also by Fermi-liquid corrections due to the residual interactions among quasiparticles, the Landau $f$-parameters. These corrections pair up with those that modify the optical mass with respect to the quasiparticle effective one, or the charge compressibility with respect to the quasiparticle density of states. Our result supports recent claims that the correct expressions for topological observables include vertex corrections besides the topological invariants built just upon the Green's functions. Furthermore, it demonstrates that such corrections are naturally accounted for by Landau's Fermi liquid theory, here extended to the case in which coherence effects between bands crossing the chemical potential and those that are instead away from it may play a crucial role, as in the anomalous Hall conductivity, and have important implications when those metals are on the verge of a doping-driven Mott transition, as we discuss. |
| format | Article |
| id | doaj-art-1eb60b8eb12449b09146df1598a43dc7 |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-1eb60b8eb12449b09146df1598a43dc72025-08-20T03:27:47ZengSciPostSciPost Physics2542-46532025-07-0119101410.21468/SciPostPhys.19.1.014Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metalsIvan Pasqua, Michele FabrizioWe show that topological metals lacking time-reversal symmetry have an intrinsic non-quantised component of the anomalous Hall conductivity which is contributed not only by the Berry phase of quasiparticles on the Fermi surface, but also by Fermi-liquid corrections due to the residual interactions among quasiparticles, the Landau $f$-parameters. These corrections pair up with those that modify the optical mass with respect to the quasiparticle effective one, or the charge compressibility with respect to the quasiparticle density of states. Our result supports recent claims that the correct expressions for topological observables include vertex corrections besides the topological invariants built just upon the Green's functions. Furthermore, it demonstrates that such corrections are naturally accounted for by Landau's Fermi liquid theory, here extended to the case in which coherence effects between bands crossing the chemical potential and those that are instead away from it may play a crucial role, as in the anomalous Hall conductivity, and have important implications when those metals are on the verge of a doping-driven Mott transition, as we discuss.https://scipost.org/SciPostPhys.19.1.014 |
| spellingShingle | Ivan Pasqua, Michele Fabrizio Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals SciPost Physics |
| title | Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals |
| title_full | Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals |
| title_fullStr | Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals |
| title_full_unstemmed | Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals |
| title_short | Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals |
| title_sort | fermi liquid corrections to the intrinsic anomalous hall conductivity of topological metals |
| url | https://scipost.org/SciPostPhys.19.1.014 |
| work_keys_str_mv | AT ivanpasquamichelefabrizio fermiliquidcorrectionstotheintrinsicanomaloushallconductivityoftopologicalmetals |