Composite-fermion crystallites in quantum dots

TL;DR

This paper demonstrates that composite-fermion theory effectively describes the transition from liquid-like to crystal-like states in high magnetic field quantum dots, revealing the formation of composite fermion crystallites.

Contribution

It shows that composite-fermion theory naturally accounts for crystallite formation in finite quantum dots under strong magnetic fields.

Findings

Composite-fermion theory accurately describes both liquid-like and crystal-like states.

Formation of composite fermion crystallites occurs automatically in finite quantum dots.

The theory provides a unified framework for understanding correlations in high magnetic fields.

Abstract

The correlations in the ground state of interacting electrons in a two-dimensional quantum dot in a high magnetic field are known to undergo a qualitative change from liquid-like to crystal-like as the total angular momentum becomes large. We show that the composite-fermion theory provides an excellent account of the states in both regimes. The quantum mechanical formation of composite fermions with a large number of attached vortices automatically generates omposite fermion crystallites in finite quantum dots.