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Torque On A Current Loop In A Magnetic Field01:13

Torque On A Current Loop In A Magnetic Field

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The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
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Magnetic Field Of A Current Loop01:16

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Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
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Biasing of Metal-Semiconductor Junctions01:27

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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...
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Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

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A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
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Magnetic Force Between Two Parallel Currents01:13

Magnetic Force Between Two Parallel Currents

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Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and  the vector product of the length vector along the current element and the field due to the first conductor. According to the...
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Diamagnetic Shielding of Nuclei: Local Diamagnetic Current01:14

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An applied magnetic field causes the electrons present in the molecule to circulate, setting up a local diamagnetic current within the molecule. The local diamagnetic current arising from circulating sigma-bonding electrons induces a magnetic field, Blocal that opposes the applied magnetic field, B0. The effective magnetic field experienced by these nuclei is given by the difference between the applied and local magnetic fields in a phenomenon called local diamagnetic shielding. Essentially,...
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Related Experiment Video

Updated: Apr 29, 2026

Fabrication of Magnetic Nanostructures on Silicon Nitride Membranes for Magnetic Vortex Studies Using Transmission Microscopy Techniques
06:27

Fabrication of Magnetic Nanostructures on Silicon Nitride Membranes for Magnetic Vortex Studies Using Transmission Microscopy Techniques

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Spin-orbit-induced circulating currents in a semiconductor nanostructure.

J van Bree1, A Yu Silov1, P M Koenraad1

  • 1PSN, COBRA Research Institute, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.

Physical Review Letters
|May 27, 2014
PubMed
Summary
This summary is machine-generated.

Electron spin-orbit interaction in quantum dots generates circulating orbital currents. These currents affect the total magnetic moment, influencing spin lifetimes and manipulation, even when spin and orbital moments cancel.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Electron spin possesses both spin and orbital magnetic moments.
  • Spin-orbit interaction is crucial for understanding electron behavior in confined systems like quantum dots.
  • The spatial distribution of these magnetic moments is key to their interactions.

Purpose of the Study:

  • To evaluate circulating orbital currents from spin-orbit interaction in a single electron spin quantum dot.
  • To analyze the impact of these currents on the total magnetic moment (spin and orbital) at zero magnetic field.
  • To understand the spatial differences between spin and orbital magnetic moment contributions.

Main Methods:

  • Explicit evaluation of circulating orbital currents.
  • Analysis of electronic states using conduction and valence envelope functions.
  • Zero magnetic field calculations.

Main Results:

  • Orbital currents are dominated by coherent superpositions of electronic envelope functions.
  • These currents vary smoothly within the quantum dot, peaking between the center and edge.
  • The spatial structure of the spin contribution differs significantly from the orbital contribution.
  • Even with zero net magnetic moment, spin interacts strongly with local magnetic fields.

Conclusions:

  • The spatial separation of spin and orbital magnetic moment contributions is significant.
  • Spin-orbit interaction-induced currents have implications for spin lifetimes.
  • These findings are important for spin manipulation in quantum computing and spintronics.