Lauglin-type wavefunction of two-dimensional electrons in the tilted magnetic field

TL;DR

This paper investigates the fractional quantum Hall states of two-dimensional electrons under a tilted magnetic field, constructing a Laughlin-type wavefunction and confirming the validity of the composite fermion concept in this setting.

Contribution

It introduces a Laughlin-type wavefunction for electrons in a tilted magnetic field and demonstrates the persistence of the composite fermion picture in the thermodynamic limit.

Findings

The wavefunction resembles Laughlin's ground state.

The composite fermion concept remains valid with an in-plane magnetic field.

The study extends understanding of quantum Hall states in tilted fields.

Abstract

We study the fractional quantum Hall states in the tilted magnetic field. A many-particle wavefunction of the ground state, which is similar to that of Laughlin's, is constructed in the Landau gauge. We show that in the limit of thermodynamics, the concept of composite fermion is still valid in presence of the in-plane field.