large background signal, making the Nernst effect a promising diagnostic of the Dirac nature of composite fermions.'
author:
- Andrew C Potter$^1$
- Maksym Serbyn$^1$
- 'Ashvin Vishwanath$^{1,2}$'
title: 'Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level'
---

In contrast to the incompressible fractional quantum Hall states at filling fractions $\nu=\frac{p}{2p+1}$, the 1/2-filled Landau level (LL) exhibits a compressible state with non-zero longitudinal conductance. The origin of this compressible state is naturally explained by the (CF) picture due to Halperin, Lee, and Read (HLR) [@HLR], in which electrons bind two flux quanta apiece becoming composite fermions [@JainBook] that feel zero average orbital magnetic field and form a metallic state with a composite Fermi-surface. This composite Fermi liquid (CFL) state successfully captures many aspects of the experimental phenomenology of the $\nu=1/2$ state in GaAs. On the other hand (ignoring, for the moment, LL mixing), the 1/2-filled LL can be equivalently described by 1/2-filling an empty LL with electrons, or 1/2-depleting a full LL with holes [@Kivelson97; @Barkeshli15]. However, the HLR description begins by formally attaching flux to electrons (rather than holes) and naturally leads to a low energy description in terms of spinless CFs coupled to a 