Paired Hall States versus Unidirectional CDW in Tilted Field for $\nu={5/2}$

TL;DR

This paper models the effects of an in-plane magnetic field on the $ u=5/2$ quantum Hall state, proposing a phase transition from paired Hall states to unidirectional charge density waves, fitting experimental gap measurements.

Contribution

It introduces a phenomenological model of composite fermions under in-plane magnetic fields and explains the phase transition mechanism at $ u=5/2$ from a symmetry perspective.

Findings

The in-plane magnetic field induces a transition from paired Hall states to unidirectional CDW.

The model fits experimental measurements of the energy gap.

Symmetry considerations explain the destruction of paired states.

Abstract

We formulate the composite fermions in the presence of an in-plane magnetic field. As the in-plane field increases, if we assume the state at $\nu=5/2$ turns into the mixed state between the unidirectional charge density wave domains and paired Hall state, we can phenomenologically fit the theoretically defined gap to the experimental measured results. We explain the destruction of the paired Hall states and then a phase transition from the paired Hall state to the unidirectional charge density wave from a symmetry point of view.