Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition

Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition

We show that the well-established universal scaling σxyAHE ∼ σxx1.6 between anomalous Hall and longitudinal conductivities in the low conductivity regime (σxx < 104 Ω−1 cm−1) transforms into the scaling σxyAHE ∼ σxx2 at the onset of strong electron localization. The crossover between the two rela...

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Main Authors: N. Jedrecy, M. Hamieh, C. Hebert, M. Escudier, L. Becerra, J. Perriere
Format: Article
Language:English
Published: AIP Publishing LLC 2016-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4961144
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spelling doaj-319bf69b23864012a36c0eef919e46242020-11-24T23:51:19ZengAIP Publishing LLCAIP Advances2158-32262016-08-0168085208085208-710.1063/1.4961144033608ADVAnomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transitionN. Jedrecy0M. Hamieh1C. Hebert2M. Escudier3L. Becerra4J. Perriere5Institut des Nano Sciences de Paris, UPMC-Sorbonne Universités, CNRS-UMR7588, 4 Place Jussieu, 75252 Paris Cedex 05, FranceInstitut des Nano Sciences de Paris, UPMC-Sorbonne Universités, CNRS-UMR7588, 4 Place Jussieu, 75252 Paris Cedex 05, FranceInstitut des Nano Sciences de Paris, UPMC-Sorbonne Universités, CNRS-UMR7588, 4 Place Jussieu, 75252 Paris Cedex 05, FranceInstitut des Nano Sciences de Paris, UPMC-Sorbonne Universités, CNRS-UMR7588, 4 Place Jussieu, 75252 Paris Cedex 05, FranceInstitut des Nano Sciences de Paris, UPMC-Sorbonne Universités, CNRS-UMR7588, 4 Place Jussieu, 75252 Paris Cedex 05, FranceInstitut des Nano Sciences de Paris, UPMC-Sorbonne Universités, CNRS-UMR7588, 4 Place Jussieu, 75252 Paris Cedex 05, FranceWe show that the well-established universal scaling σxyAHE ∼ σxx1.6 between anomalous Hall and longitudinal conductivities in the low conductivity regime (σxx < 104 Ω−1 cm−1) transforms into the scaling σxyAHE ∼ σxx2 at the onset of strong electron localization. The crossover between the two relations is observed in magnetite-derived ZnxFe3-xO4 thin films where an insulating/hopping regime follows a bad metal/hopping regime below the Verwey transition temperature Tv. Our results demonstrate that electron localization effects come into play in the anomalous Hall effect (AHE) modifying significantly the scaling exponent. In addition, the thermal evolution of the anomalous Hall resistivity suggests the existence of spin polarons whose size would decrease below Tv.http://dx.doi.org/10.1063/1.4961144
collection DOAJ
language English
format Article
sources DOAJ
author N. Jedrecy
M. Hamieh
C. Hebert
M. Escudier
L. Becerra
J. Perriere
spellingShingle N. Jedrecy
M. Hamieh
C. Hebert
M. Escudier
L. Becerra
J. Perriere
Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition
AIP Advances
author_facet N. Jedrecy
M. Hamieh
C. Hebert
M. Escudier
L. Becerra
J. Perriere
author_sort N. Jedrecy
title Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition
title_short Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition
title_full Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition
title_fullStr Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition
title_full_unstemmed Anomalous Hall effect in ZnxFe3-xO4: Universal scaling law and electron localization below the Verwey transition
title_sort anomalous hall effect in znxfe3-xo4: universal scaling law and electron localization below the verwey transition
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2016-08-01
description We show that the well-established universal scaling σxyAHE ∼ σxx1.6 between anomalous Hall and longitudinal conductivities in the low conductivity regime (σxx < 104 Ω−1 cm−1) transforms into the scaling σxyAHE ∼ σxx2 at the onset of strong electron localization. The crossover between the two relations is observed in magnetite-derived ZnxFe3-xO4 thin films where an insulating/hopping regime follows a bad metal/hopping regime below the Verwey transition temperature Tv. Our results demonstrate that electron localization effects come into play in the anomalous Hall effect (AHE) modifying significantly the scaling exponent. In addition, the thermal evolution of the anomalous Hall resistivity suggests the existence of spin polarons whose size would decrease below Tv.
url http://dx.doi.org/10.1063/1.4961144
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AT mhamieh anomaloushalleffectinznxfe3xo4universalscalinglawandelectronlocalizationbelowtheverweytransition
AT chebert anomaloushalleffectinznxfe3xo4universalscalinglawandelectronlocalizationbelowtheverweytransition
AT mescudier anomaloushalleffectinznxfe3xo4universalscalinglawandelectronlocalizationbelowtheverweytransition
AT lbecerra anomaloushalleffectinznxfe3xo4universalscalinglawandelectronlocalizationbelowtheverweytransition
AT jperriere anomaloushalleffectinznxfe3xo4universalscalinglawandelectronlocalizationbelowtheverweytransition
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