Spin transverse force on spin current in an electric field.

Area of Science:

• Relativistic Quantum Mechanics
• Condensed Matter Physics
• Quantum Electrodynamics

Background:

• Electron spin dynamics are crucial in modern physics and materials science.
• Understanding relativistic quantum mechanical effects is essential for advanced electronic devices.
• The interplay between electron motion, spin, and electric fields requires further elucidation.

Purpose of the Study:

• To demonstrate a transverse force exerted by the electron field on electron spin.
• To elucidate the relativistic quantum mechanical origin of this spin-dependent force.
• To connect this force to observable phenomena such as Zitterbewegung and the charge Hall effect.

Main Methods:

• Theoretical analysis based on relativistic quantum mechanics.
• Investigation of electron field interactions with spin-1/2 particles.
• Mathematical modeling of spin-dependent forces and their effects.

Main Results:

• A transverse spin force is identified, acting only on moving electrons.
• This force is perpendicular to both the electric field and the spin current.
• The spin force is shown to be analogous to the Lorentz force for electron charge.

Conclusions:

• The discovered spin force provides a new mechanism for manipulating electron spin.
• It offers a theoretical framework for understanding Zitterbewegung with spin-orbit coupling.
• The force is relevant for generating the charge Hall effect driven by spin currents in semiconductors.