Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal Limit
Abstract The scale (conformal) anomaly can generate an electric current near the boundary of a system in the presence of a static magnetic field. The magnitude of this magnetization current, produced at zero temperature and in the absence of matter, is proportional to a beta function associated with...
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| Format: | Article |
| Language: | English |
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Wiley-VCH
2025-07-01
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| Series: | Advanced Physics Research |
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| Online Access: | https://doi.org/10.1002/apxr.202300058 |
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| author | Maxim Chernodub Vladimir Goy Alexander Molochkov |
| author_facet | Maxim Chernodub Vladimir Goy Alexander Molochkov |
| author_sort | Maxim Chernodub |
| collection | DOAJ |
| description | Abstract The scale (conformal) anomaly can generate an electric current near the boundary of a system in the presence of a static magnetic field. The magnitude of this magnetization current, produced at zero temperature and in the absence of matter, is proportional to a beta function associated with the renormalization of the electric charge. Using first‐principle lattice simulations, this paper investigates how the breaking of the scale symmetry affects this “scale magnetic effect” near a Dirichlet boundary in scalar quantum electrodynamics (Abelian Higgs model). This study demonstrates the interplay of the generated current with vortex excitations both in symmetric (normal) and broken (superconducting) phases and compares the results with the anomalous current produced in the conformal, scale‐invariant regime. Possible experimental signatures of the effect in Dirac semimetals are discussed. |
| format | Article |
| id | doaj-art-1fc3e7fca6474351884a839f06b1c504 |
| institution | Kabale University |
| issn | 2751-1200 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Wiley-VCH |
| record_format | Article |
| series | Advanced Physics Research |
| spelling | doaj-art-1fc3e7fca6474351884a839f06b1c5042025-08-20T03:50:21ZengWiley-VCHAdvanced Physics Research2751-12002025-07-0147n/an/a10.1002/apxr.202300058Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal LimitMaxim Chernodub0Vladimir Goy1Alexander Molochkov2Institut Denis Poisson UMR 7013 Université de Tours Cedex 37200 FrancePacific Quantum Center Far Eastern Federal University Vladivostok 690950 RussiaPacific Quantum Center Far Eastern Federal University Vladivostok 690950 RussiaAbstract The scale (conformal) anomaly can generate an electric current near the boundary of a system in the presence of a static magnetic field. The magnitude of this magnetization current, produced at zero temperature and in the absence of matter, is proportional to a beta function associated with the renormalization of the electric charge. Using first‐principle lattice simulations, this paper investigates how the breaking of the scale symmetry affects this “scale magnetic effect” near a Dirichlet boundary in scalar quantum electrodynamics (Abelian Higgs model). This study demonstrates the interplay of the generated current with vortex excitations both in symmetric (normal) and broken (superconducting) phases and compares the results with the anomalous current produced in the conformal, scale‐invariant regime. Possible experimental signatures of the effect in Dirac semimetals are discussed.https://doi.org/10.1002/apxr.202300058boundarieslattice simulationsmagnetic fieldsscalar quantum electrodynamicsscale anomaliessuperconductivity |
| spellingShingle | Maxim Chernodub Vladimir Goy Alexander Molochkov Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal Limit Advanced Physics Research boundaries lattice simulations magnetic fields scalar quantum electrodynamics scale anomalies superconductivity |
| title | Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal Limit |
| title_full | Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal Limit |
| title_fullStr | Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal Limit |
| title_full_unstemmed | Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal Limit |
| title_short | Generation of Electric Current by Magnetic Field at the Boundary: Quantum Scale Anomaly Versus Semiclassical Meissner Current Outside of the Conformal Limit |
| title_sort | generation of electric current by magnetic field at the boundary quantum scale anomaly versus semiclassical meissner current outside of the conformal limit |
| topic | boundaries lattice simulations magnetic fields scalar quantum electrodynamics scale anomalies superconductivity |
| url | https://doi.org/10.1002/apxr.202300058 |
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