Specific heat and entropy of fractional quantum Hall states in the second Landau level

Abstract

Specific heat has had an important role in the study of superfluidity and superconductivity, and could provide important information about the fractional quantum Hall effect as well. However, traditional measurements of the specific heat of a two-dimensional electron gas are difficult due to the large background contribution of the phonon bath, even at very low temperatures. Here, we report measurements of the specific heat per electron in the second Landau level by measuring the thermalization time between the electrons and phonons. We observe activated behaviour of the specific heat of the 5/2 and 7/3 fractional quantum Hall states, and extract the entropy by integrating over temperature. Our results are in excellent agreement with previous measurements of the entropy via longitudinal thermopower. Extending the technique to lower temperatures could lead to detection of the non-Abelian entropy predicted for bulk quasiparticles at 5/2 filling

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• A thermodynamic approach to measuring entropy in a few-electron nanodevice
• Interface and Phase Transition between Moore-Read and Halperin 331 Fractional Quantum Hall States: Realization of Chiral Majorana Fermion
• Electronic measurements of entropy in meso- and nanoscale systems
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Fractional boundary charges with quantized slopes in interacting one- and two-dimensional systems
• Measuring topological entanglement entropy using Maxwell relations
• Direct Entropy Measurement in a Mesoscopic Quantum System
• Large composite fermion effective mass at filling factor 5/2
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures