Scaling relations between anomalous Hall and longitudinal transport coefficients in metallic (Ga,Mn)As films

Xinyu Liu, S. Shen, Z. Ge, W. L. Lim, M. Dobrowolska, J. K. Furdyna, Sang Hoon Lee

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We report a systematic study of the temperature dependence of the anomalous Hall and longitudinal conductivities σxy and σxx and resistivities ρxy and ρxx in a series of metallic (Ga,Mn)As samples. Two universal scaling relations are obtained: σxyσxx1.5, obtained from measurements at a fixed low temperature (2.0 K) on a series of samples with different Mn concentrations; and ρxy/mρxx2, where m is normalized magnetization, obtained from the temperature variation of ρxx and ρxy measured on each sample of the series. The former scaling relation is, however, found to break down for highly conducting (Ga,Mn)As samples (σxx100 Ω-1 cm-1). The latter scaling relation leads to a magnetization-dependent anomalous Hall coefficient, which we attribute to the emergence of magnetization fluctuations at high temperatures.

Original languageEnglish
Article number144421
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume83
Issue number14
DOIs
Publication statusPublished - 2011 Apr 25

Fingerprint

transport properties
scaling
Magnetization
magnetization
Temperature
Hall effect
breakdown
conduction
conductivity
temperature dependence
electrical resistivity
temperature

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Scaling relations between anomalous Hall and longitudinal transport coefficients in metallic (Ga,Mn)As films. / Liu, Xinyu; Shen, S.; Ge, Z.; Lim, W. L.; Dobrowolska, M.; Furdyna, J. K.; Lee, Sang Hoon.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 83, No. 14, 144421, 25.04.2011.

Research output: Contribution to journalArticle

@article{9157ca7843ca42468727fd579d1393f2,
title = "Scaling relations between anomalous Hall and longitudinal transport coefficients in metallic (Ga,Mn)As films",
abstract = "We report a systematic study of the temperature dependence of the anomalous Hall and longitudinal conductivities σxy and σxx and resistivities ρxy and ρxx in a series of metallic (Ga,Mn)As samples. Two universal scaling relations are obtained: σxyσxx1.5, obtained from measurements at a fixed low temperature (2.0 K) on a series of samples with different Mn concentrations; and ρxy/mρxx2, where m is normalized magnetization, obtained from the temperature variation of ρxx and ρxy measured on each sample of the series. The former scaling relation is, however, found to break down for highly conducting (Ga,Mn)As samples (σxx100 Ω-1 cm-1). The latter scaling relation leads to a magnetization-dependent anomalous Hall coefficient, which we attribute to the emergence of magnetization fluctuations at high temperatures.",
author = "Xinyu Liu and S. Shen and Z. Ge and Lim, {W. L.} and M. Dobrowolska and Furdyna, {J. K.} and Lee, {Sang Hoon}",
year = "2011",
month = "4",
day = "25",
doi = "10.1103/PhysRevB.83.144421",
language = "English",
volume = "83",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Institute of Physics Publising LLC",
number = "14",

}

TY - JOUR

T1 - Scaling relations between anomalous Hall and longitudinal transport coefficients in metallic (Ga,Mn)As films

AU - Liu, Xinyu

AU - Shen, S.

AU - Ge, Z.

AU - Lim, W. L.

AU - Dobrowolska, M.

AU - Furdyna, J. K.

AU - Lee, Sang Hoon

PY - 2011/4/25

Y1 - 2011/4/25

N2 - We report a systematic study of the temperature dependence of the anomalous Hall and longitudinal conductivities σxy and σxx and resistivities ρxy and ρxx in a series of metallic (Ga,Mn)As samples. Two universal scaling relations are obtained: σxyσxx1.5, obtained from measurements at a fixed low temperature (2.0 K) on a series of samples with different Mn concentrations; and ρxy/mρxx2, where m is normalized magnetization, obtained from the temperature variation of ρxx and ρxy measured on each sample of the series. The former scaling relation is, however, found to break down for highly conducting (Ga,Mn)As samples (σxx100 Ω-1 cm-1). The latter scaling relation leads to a magnetization-dependent anomalous Hall coefficient, which we attribute to the emergence of magnetization fluctuations at high temperatures.

AB - We report a systematic study of the temperature dependence of the anomalous Hall and longitudinal conductivities σxy and σxx and resistivities ρxy and ρxx in a series of metallic (Ga,Mn)As samples. Two universal scaling relations are obtained: σxyσxx1.5, obtained from measurements at a fixed low temperature (2.0 K) on a series of samples with different Mn concentrations; and ρxy/mρxx2, where m is normalized magnetization, obtained from the temperature variation of ρxx and ρxy measured on each sample of the series. The former scaling relation is, however, found to break down for highly conducting (Ga,Mn)As samples (σxx100 Ω-1 cm-1). The latter scaling relation leads to a magnetization-dependent anomalous Hall coefficient, which we attribute to the emergence of magnetization fluctuations at high temperatures.

UR - http://www.scopus.com/inward/record.url?scp=79961078496&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79961078496&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.83.144421

DO - 10.1103/PhysRevB.83.144421

M3 - Article

VL - 83

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 14

M1 - 144421

ER -