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Setting Limits on Supersymmetry Using Simplified Models

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Published on: November 15, 2013

Large composite fermion effective mass at filling factor 5/2.

M Petrescu¹, Z Berkson-Korenberg¹, Sujatha Vijayakrishnan¹

¹Department of Physics, McGill University, Montreal, Quebec, H3A 2T8, Canada.

Nature Communications

|November 9, 2023

Summary

Researchers measured thermodynamic properties of the 5/2 fractional quantum Hall effect. Findings suggest a large effective mass for composite fermions in this system, crucial for quantum computation research.

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Area of Science:

Condensed Matter Physics
Quantum Hall Effect Studies
Topological Quantum Matter

Background:

The 5/2 fractional quantum Hall effect in the second Landau level is a prime candidate for hosting non-Abelian anyons.
These anyons are predicted to enable fault-tolerant quantum computations.
The thermodynamic properties and effective mass of its composite fermion (CF) normal phase remain largely unknown.

Purpose of the Study:

To investigate the thermodynamic properties of the composite fermion (CF) phase at the 5/2 fractional quantum Hall effect.
To determine the effective mass of quasiparticles in this system.
To understand the implications for potential quantum computing applications.

Main Methods:

Time-resolved specific heat measurements at filling factor 5/2.
Analysis of the ratio of specific heat to temperature.
Integration of specific heat data with existing longitudinal thermopower data for entropy calculation.

Main Results:

Specific heat measurements combined with entropy data suggest a large effective mass in the composite fermion (CF) Fermi liquid phase at 5/2.
The estimated effective-to-bare mass ratio (m*/m_e) ranges from approximately 2 to 4.
This effective mass is significantly larger (2-3 times) than values observed in the first Landau level.

Conclusions:

The findings indicate a substantial effective mass for composite fermions (CFs) at the 5/2 fractional quantum Hall effect.
This large effective mass has implications for the behavior of topological quasiparticles and their suitability for quantum computation.
Further research is needed to fully elucidate the thermodynamic landscape and potential phase transitions.