as $\sim \frac{1}{\omega_c\tau}$. In addition to the non-zero value of $S^{xy}$ at $B=B_{1/2}$ the Dirac CFL shows a distinct asymmetry between $B>B_{1/2}$ and $B<B_{1/2}$ due to the intrinsic anomalous ($b=0$) Hall contributions from $\gamma\neq 0$.

[[**Experimental considerations –**]{}]{} Based on data from [@Ying94], we estimate the size of the non-zero $S^{xy}$ signal at half-filling in the composite Dirac liquid will be of order $0.3~\mu$V/K at $T=100$ mK. This magnitude, while somewhat small, should be measurable in existing thermopower setups. An additional experimental challenge is that the longitudinal and transverse thermopower signals may be mixed to a small degree due to non-idealities in the measurement geometry, and need to be disentangled. The two components can be separated by noting that the transverse response, $S^{xy}$, will be odd under $B\rightarrow -B$, whereas the longitudinal component will be even. Hence, antisymmetrizing (or symmetrizing) the thermopower signal under $B\rightarrow -B$ can help isolate $S^{xy}$ (or $S^{xx}$) respectively.

While the smallness of the Nernst signal may make the proposed thermopower signature more challenging to measure compared to previously proposed [@Son15] deviation of electrical Hall conductance from $1/2$, the thermopower setup has a distinct advantage. Namely, whereas $\sigma^{xy}=1/2$ would follow directly from the constraint of particle-hole 