Bulk Thermal Conductance of the 5/2 and 7/3 Fractional Quantum Hall States in the Corbino Geometry

Abstract

In this work, making use of time-resolved in situ Joule heating of a two-dimensional electron gas (2DEG) in the Corbino geometry, we report bulk thermal conductance measurements for the {\nu} = 5/2 and {\nu} = 7/3 fractional quantum Hall (FQH) states for electron temperatures ranging from 20 to 150 mK. We compare our findings with a recent study by Melcer et al. [Nature 625, 489 (2024)] that observed a finite bulk thermal conductivity \k{appa}xx in FQH states. In spite of the large size difference and the vastly different experimental schemes used to extract \k{appa}xx, we find in large part that both experiments yield similar results and conclude that the bulk of FQH states thermally conducts and violate the Wiedemann-Franz law by a wide margin. Slight discrepancies between both studies are further discussed in terms of particle-hole symmetry in the vicinity of the 5/2 and 7/3 FQH states.