Related Experiment Video
Updated: Jul 3, 2026

10:36
Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
Published on: January 21, 2016
Anomalous Hall effect in a two dimensional electron gas with magnetic impurities
Tamara S Nunner1, Gergely Zaránd, Felix von Oppen
1Institut für Theoretische Physik, Freie Universität Berlin, Berlin, Germany.
Physical Review Letters
|July 23, 2008
Summary
We investigated the anomalous Hall effect in 2D electron systems with magnetic impurities and Rashba spin-orbit coupling. The Hall conductivity shows nonlinear dependence on impurity polarization, with potential for resonant enhancement near spin saturation.
Area of Science:
- Condensed Matter Physics
- Spintronics
- Materials Science
Background:
- Magnetic impurities are crucial in spintronics materials.
- The anomalous Hall effect (AHE) is a key phenomenon in spintronics.
- Understanding AHE in systems with spin-orbit coupling is vital.
Purpose of the Study:
- To investigate the anomalous Hall effect in two-dimensional electron systems.
- To explore the influence of magnetic impurities and Rashba spin-orbit coupling on AHE.
- To understand the dependence of AHE on impurity polarization and magnetization.
Main Methods:
- Theoretical study of the anomalous Hall effect.
- Focus on two-dimensional electron systems with Rashba spin-orbit coupling.
- Analysis of the impact of magnetic impurities with varying polarization.
Main Results:
- A highly nonlinear dependence of AHE on impurity polarization was found.
- The linear term of AHE was observed to be independent of spin-orbit coupling strength at low magnetization.
- Resonant enhancement of anomalous Hall conductivity near impurity spin saturation was predicted.
- Sign changes in the Hall effect were identified as possible outcomes.
Conclusions:
- The interplay between magnetic impurities and spin-orbit coupling significantly modifies the anomalous Hall effect.
- Nonlinearities and sign changes in AHE are prominent features in these systems.
- Resonant enhancement offers potential for novel spintronic device applications.
Related Concept Videos
The Hall Effect
Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
Diamagnetism
Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets.
Paramagnetism
Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
π Electron Effects on Chemical Shift: Overview
An applied magnetic field causes loosely bound π-electrons in organic molecules to circulate, producing a local or induced diamagnetic field over a large spatial volume. As the molecules tumble in solution, the field generated by π-electrons in spherical substituents results in a zero net field. However, the net field generated by π-electrons in non-spherical substituents is not zero. The effect of this induced field depends on the orientation of the molecule with respect to B0, resulting in...
Magnetic Fields
A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
A magnetic field is defined by the force that a charged particle experiences...
Magnetic Moment of an Electron
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the electron's orbital angular momentum. Since the orbital angular momentum is quantized in terms of the reduced Planck's constant, the dipole moment is quantized in the Bohr Magneton. The value of the Bohr magneton is 9.27 x 10-24 Am2. Electrons also have an intrinsic spin angular momentum, and the associated spin magnetic moment is...
