Subband Engineering Even-Denominator Quantum Hall States

TL;DR

This paper investigates how tilting wide quantum wells can engineer interaction potentials to realize various even-denominator fractional quantum Hall states, including potential non-Abelian states, through theoretical analysis and wavefunction testing.

Contribution

It introduces a method to test quantum Hall wavefunctions and demonstrates how tilting quantum wells influences the emergence of different even-denominator states.

Findings

Tilted wells favor partial subband polarization leading to Abelian states.

Tilting effectively engineers interaction potentials for diverse states.

Supports experimental observations of even-denominator FQHE in tilted wells.

Abstract

Proposed even-denominator fractional quantum Hall effect (FQHE) states suggest the possibility of excitations with non-Abelian braid statistics. Recent experiments on wide square quantum wells observe even-denominator FQHE even under electrostatic tilt. We theoretically analyze these structures and develop a procedure to accurately test proposed quantum Hall wavefunctions. We find that tilted wells favor partial subband polarization to yield Abelian even-denominator states. Our results show that tilting quantum wells effectively engineers different interaction potentials allowing exploration of a wide variety of even-denominator states.