Quantum Hall-like effect for neutral particles with magnetic dipole moments in a quantum dot

Abstract

We predict a new class of quantum Hall phenomena in completely neutral systems, demonstrating that the interplay between radial electric fields and dipole moments induces exact $e^2/h$ quantization without the need for Landau levels or external magnetic fields. Contrary to conventional wisdom, our theory reveals that: (i) the singularity of line charges does not destroy topological protection, (ii) spin-control of quantization emerges from boundary conditions alone, and (iii) the effect persists up to 25 K, surpassing typical neutral systems. These findings establish electric field engineering as a viable route to topological matter beyond magnetic paradigms.

8 pages, 7 figures, 2 tables

References in corpus (12)

• Coherent control of a single electron spin with electric fields
• Bose-Einstein Condensation of Erbium
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Theory of electric dipole spin resonance in quantum dots: Mean field theory with Gaussian fluctuations and beyond
• Quantitative measurement of orbital angular momentum in electron microscopy
• On Aharonov-Casher bound states
• Balanced Quantum Hall Resistor
• Towards an experimental proof of the magnonic Aharonov$-$Casher effect
• Spin-selective AC Stark shifts in a charged quantum dot
• On planar quantum dynamics of a magnetic dipole moment in the presence of electric and magnetic fields
• Analogue of the quantum Hall effect for neutral particles with magnetic dipole moment
• Missing Aharonov-Casher geometric quantum phase