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Large composite fermion effective mass at filling factor 5/2

Author

Listed:
  • M. Petrescu

    (McGill University)

  • Z. Berkson-Korenberg

    (McGill University)

  • Sujatha Vijayakrishnan

    (McGill University)

  • K. W. West

    (Princeton University)

  • L. N. Pfeiffer

    (Princeton University)

  • G. Gervais

    (McGill University)

Abstract

The 5/2 fractional quantum Hall effect in the second Landau level of extremely clean two-dimensional electron gases has attracted much attention due to its topological order predicted to host quasiparticles that obey non-Abelian quantum statistics and could serve as a basis for fault-tolerant quantum computations. While previous works have establish the Fermi liquid (FL) nature of its putative composite fermion (CF) normal phase, little is known regarding its thermodynamics properties and as a result its effective mass is entirely unknown. Here, we report on time-resolved specific heat measurements at filling factor 5/2, and we examine the ratio of specific heat to temperature as a function of temperature. Combining these specific heat data with existing longitudinal thermopower data measuring the entropy in the clean limit we find that, unless a phase transition/crossover gives rise to large specific heat anomaly, both datasets point towards a large effective mass in the FL phase of CFs at 5/2. We estimate the effective-to-bare mass ratio m*/me to be ranging from ~ 2 to 4, which is two to three times larger than previously measured values in the first Landau level.

Suggested Citation

  • M. Petrescu & Z. Berkson-Korenberg & Sujatha Vijayakrishnan & K. W. West & L. N. Pfeiffer & G. Gervais, 2023. "Large composite fermion effective mass at filling factor 5/2," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-42986-w
    DOI: 10.1038/s41467-023-42986-w
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    References listed on IDEAS

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    1. Mitali Banerjee & Moty Heiblum & Vladimir Umansky & Dima E. Feldman & Yuval Oreg & Ady Stern, 2018. "Observation of half-integer thermal Hall conductance," Nature, Nature, vol. 559(7713), pages 205-210, July.
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