Related Experiment Video
Updated: Jul 19, 2026

10:36
Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
Published on: January 21, 2016
Charge and spin Hall conductivity in metallic graphene
N A Sinitsyn1, J E Hill, Hongki Min
1Department of Physics, University of Texas at Austin, Austin, Texas 78712-1081, USA.
Physical Review Letters
|October 10, 2006
Summary
This study investigates graphene's spin Hall conductivity, finding that disorder can enhance it beyond theoretical predictions. Large conductivities are observable even without a clear spin-orbit gap.
Area of Science:
- Condensed Matter Physics
- Materials Science
Background:
- Graphene exhibits unique electronic properties, including chiral bands and quantized Hall effects.
- Spin Hall conductivity in graphene is a key area of theoretical and experimental interest.
Purpose of the Study:
- To investigate the dependence of graphene's spin Hall conductivity on Fermi energy and disorder.
- To analyze the impact of vertex corrections and skew scattering on spin Hall conductivity.
Main Methods:
- Theoretical analysis of graphene's band structure.
- Modeling of Fermi energy and disorder effects on spin Hall conductivity.
Main Results:
- Vertex corrections enhance intrinsic spin Hall conductivity in the metallic regime.
- Skew scattering leads to spin Hall conductivity exceeding quantized values.
- Large spin Hall conductivities are predicted even when the spin-orbit gap is diminished by disorder.
Conclusions:
- Disorder plays a crucial role in determining spin Hall conductivity in graphene.
- Graphene can exhibit significant spin Hall effects under conditions where the spin-orbit gap is not robust.
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.
Valence Bond Theory
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
Theory of Metallic Conduction
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
Electric Field of Parallel Conducting Plates
Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...
Electrical Conductivity
In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
Charge on a Conductor
An interesting property of a conductor in static equilibrium is that extra charges on the conductor end up on its outer surface, regardless of where they originate. Consider a hollow metallic conductor with a uniform surface charge density. Since the conductor itself is in electrostatic equilibrium, there should not be any electric field inside the conductor. Now, assume a Gaussian surface enclosing the hollow portion. Applying Gauss's law, the inner surface of the hollow conductor will not...

