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Large composite fermion effective mass at filling factor 5/2

M. Petrescu, Z. Berkson-Korenberg, Sujatha Vijayakrishnan, K. W. West, L. N. Pfeiffer and G. Gervais ()
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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

Nature Communications, 2023, vol. 14, issue 1, 1-6

Abstract: 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.

Date: 2023
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DOI: 10.1038/s41467-023-42986-w

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