Signature of anyonic statistics in the integer quantum Hall regime.

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Low-Dimensional Systems

Background:

• Anyons exhibit unconventional quantum statistics beyond fermions and bosons.
• The fractional quantum Hall regime has shown anyon signatures but presents experimental challenges.
• Manipulation of anyons is crucial for advancing quantum technologies.

Purpose of the Study:

• To establish the integer quantum Hall regime as a viable platform for anyon research.
• To demonstrate the experimental observation and manipulation of anyons in the integer quantum Hall regime.
• To provide a theoretical framework for understanding anyon behavior in this regime.

Main Methods:

• Exploiting Coulomb interaction between copropagating quantum Hall channels.
• Injecting electrons into one channel, leading to splitting into fractional charges (abelian anyons).
• Measuring cross-correlations of quasiparticle beams to reveal unconventional statistics.

Main Results:

• Experimental observation of abelian anyons in the integer quantum Hall regime.
• Demonstration of negative cross-correlations indicative of anyon braiding.
• Theoretical explanation using edge magnetoplasmon description for interacting channels.

Conclusions:

• The integer quantum Hall regime provides a robust and experimentally accessible platform for anyons.
• This work simplifies anyon manipulation, offering new avenues for quantum information science.
• Findings challenge the conventional view, highlighting the integer quantum Hall regime as a preferred platform for anyon exploration.