Power-law dependence of the angular momentum transition fields in few-electron quantum dots

TL;DR

This paper reveals that the magnetic fields causing angular momentum transitions in few-electron quantum dots follow a universal power-law dependence on interaction strength, supported by analytical and numerical evidence.

Contribution

The study derives an analytical power-law relation for transition fields and confirms its universality through exact diagonalization comparisons.

Findings

Power-law dependence of transition fields on interaction strength

Analytical derivation from quasi-classical approach

Validation via exact diagonalization results

Abstract

We show that the critical magnetic fields at which a few-electron quantum dot undergoes transitions between successive values of its angular momentum (M), for large M values follow a very simple power-law dependence on the effective inter-electron interaction strength. We obtain this power law analytically from a quasi-classical treatment and demonstrate its nearly-universal validity by comparison with the results of exact diagonalization.