# Lapse of transmission phase and electron molecules in quantum dots

## TL;DR

This paper explains the transition phase behavior in quantum dots by proposing electron molecule formation, with resonance tunneling through a doorway state at a critical electron number, aligning with experimental observations.

## Contribution

It introduces a model linking electron molecule formation to the transition phase behavior, predicting the critical electron number and its size dependence in quantum dots.

## Key findings

- Estimated critical electron number matches experimental data
- Predicted size dependence of the critical electron number
- Explained the transition phase lapse via doorway state formation

## Abstract

The puzzling behavior of the transition phase through a quantum dot can be understood in a natural way via a formation of the electron molecule in the quantum dot. In this case the resonance tunneling takes place through the quasi-stationary (doorway) state, which emerges when the number of electrons occupying the dot reaches a certain ``critical'' value, $N_{cr}$. Our estimation of this quantity agrees with the experimental data. The dependence of $N_{cr}$ on the dot's size is predicted as well.