Geometric oscillations of local Hall and Nernst effects in ballistic graphene at weak magnetic fields

Fuente: arXiv
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Autori principali: Alisultanov, Z. Z., Kavokin, A. V.
Natura: Preprint
Pubblicazione: 2026
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author Alisultanov, Z. Z.
Kavokin, A. V.
author_facet Alisultanov, Z. Z.
Kavokin, A. V.
contents We predict a novel class of magnetotransport oscillations in ballistic graphene specific for a ring-shape geometry. Using the Büttiker-Landauer formalism, we analytically obtain the local Hall and Nernst coefficients in the weak-field ballistic regime. These coefficients exhibit pronounced oscillations as functions of both the magnetic field and the angular positions of the measurement probes. The oscillations originate from the discrete set of skipping orbits that geometrically connect the contacts, with resonances occurring when the angular separation between contacts times the radius of the disk equals an integer number of cyclotron diameters. Unlike conventional quantum oscillations in conductivity, this effect is robust at room temperature and can dominate local thermoelectric signals. This geometric control of ballistic flow provides a platform for studying electron hydrodynamics and engineering phase-coherent devices, with potential applications in sensitive terahertz detectors and thermal management systems.
format Preprint
id arxiv_https___arxiv_org_abs_2602_21934
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Geometric oscillations of local Hall and Nernst effects in ballistic graphene at weak magnetic fields
Alisultanov, Z. Z.
Kavokin, A. V.
Mesoscale and Nanoscale Physics
We predict a novel class of magnetotransport oscillations in ballistic graphene specific for a ring-shape geometry. Using the Büttiker-Landauer formalism, we analytically obtain the local Hall and Nernst coefficients in the weak-field ballistic regime. These coefficients exhibit pronounced oscillations as functions of both the magnetic field and the angular positions of the measurement probes. The oscillations originate from the discrete set of skipping orbits that geometrically connect the contacts, with resonances occurring when the angular separation between contacts times the radius of the disk equals an integer number of cyclotron diameters. Unlike conventional quantum oscillations in conductivity, this effect is robust at room temperature and can dominate local thermoelectric signals. This geometric control of ballistic flow provides a platform for studying electron hydrodynamics and engineering phase-coherent devices, with potential applications in sensitive terahertz detectors and thermal management systems.
title Geometric oscillations of local Hall and Nernst effects in ballistic graphene at weak magnetic fields
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2602.21934