Related Experiment Video
Updated: Aug 1, 2026

09:45
Monolayer Contact Doping of Silicon Surfaces and Nanowires Using Organophosphorus Compounds
Published on: December 3, 2013
Orbitronics: the intrinsic orbital current in p-doped silicon
B Andrei Bernevig1, Taylor L Hughes, Shou-Cheng Zhang
1Department of Physics, Stanford University, Stanford, California 94305, USA.
Physical Review Letters
|August 11, 2005
Summary
An electric field in silicon can create an orbital current, similar to the spin Hall effect. This effect is robust against disorder and can be detected using the Kerr effect.
Area of Science:
- Condensed matter physics
- Spintronics
- Materials science
Background:
- The spin Hall effect (SHE) is a fundamental phenomenon in spintronics, crucial for spin-based electronics.
- SHE relies on spin-orbit coupling (SOC), which is typically weak in silicon, limiting its application.
- A need exists for alternative mechanisms to achieve spin-related transport phenomena in silicon.
Purpose of the Study:
- To investigate a novel dissipationless orbital current in p-doped silicon.
- To explore an effect analogous to the spin Hall effect but independent of strong intrinsic SOC.
- To demonstrate the robustness and detectability of this orbital Hall effect.
Main Methods:
- Theoretical modeling of charge and orbital transport in p-doped silicon under an electric field.
- Analysis of the role of impurity scattering and vertex corrections.
- Simulation of orbital momentum accumulation at sample edges.
Main Results:
- An electric field induces a dissipationless orbital current in p-doped silicon, mimicking the SHE.
- The orbital Hall effect (OHE) is robust against disorder as vertex corrections from impurity scattering vanish.
- Local orbital momentum accumulates at the sample edges, a direct consequence of the OHE.
Conclusions:
- The orbital Hall effect presents a viable alternative to the SHE in silicon-based spintronics.
- This effect's robustness against disorder makes it promising for practical device applications.
- The Kerr effect provides a feasible method for detecting the orbital Hall effect and its associated orbital momentum accumulation.
Related Concept Videos
Induced Electric Dipoles
A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Types of Semiconductors
Intrinsic semiconductors are highly pure materials with no impurities. At absolute zero, these semiconductors behave as perfect insulators because all the valence electrons are bound, and the conduction band is empty, disallowing electrical conduction. The Fermi level is a concept used to describe the probability of occupancy of energy levels by electrons at thermal equilibrium. In intrinsic semiconductors, the Fermi level is positioned at the midpoint of the energy gap at absolute zero. When...
P-N junction
A p-n junction is formed when p-type and n-type semiconductor materials are joined together. At the interface of the p-n junction, holes from the p-side and electrons from the n-side begin to diffuse into the opposite sides due to the concentration gradient. This diffusion of carriers leads to a region around the junction where there are no free charge carriers, known as the depletion region. The charge density within the depletion region for the n-side and p-side can be described by the...
Biasing of P-N Junction
The operation of a p-n junction diode involves various biasing conditions, including forward bias, reverse bias, and equilibrium.
In equilibrium, no external voltage is applied across the p-n junction. The depletion region is formed at the junction interface due to the diffusion of carriers, which leaves behind charged dopants, acceptors on the p-side, and donors on the n-side. These immobile charges create an electric field that prevents further diffusion of carriers. The related energy band...
In equilibrium, no external voltage is applied across the p-n junction. The depletion region is formed at the junction interface due to the diffusion of carriers, which leaves behind charged dopants, acceptors on the p-side, and donors on the n-side. These immobile charges create an electric field that prevents further diffusion of carriers. The related energy band...
Biasing of Metal-Semiconductor Junctions
Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
In Schottky junctions, where the semiconductor is n-type, applying a positive voltage to the metal relative to the semiconductor reduces its Fermi...
In Schottky junctions, where the semiconductor is n-type, applying a positive voltage to the metal relative to the semiconductor reduces its Fermi...
Diode: Forward bias
In semiconductor devices, diodes play a crucial role in directing current flow, and its operation is primarily categorized into forward bias and reverse bias. A diode is said to be forward-biased when its p-type region is connected to the positive terminal of a battery and its n-type region is linked to the negative terminal. This configuration reduces the potential barrier within the diode, allowing current to flow easily from the p to the n-type region.
The behavior of a diode in forward bias...
The behavior of a diode in forward bias...

