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We study thermoelectric transport properties of fractional quantum Hallsystems based on exact diagonalization calculation. Based on the relationbetween thermoelectric response and thermal entropy, we demonstrate thatthermoelectric Hall conductivity $\alpha_{xy}$ has powerlaw scaling$\alpha_{xy} \propto T^{\eta}$ for gapless composite Fermi-liquid states atfilling number $\nu=1/2$ and $1/4$ at low temperature ($T$), with exponent$\eta \sim 0.5$ distinctly different from Fermi liquids. The powerlaw scalingremains unchanged for different forms of interaction including Coulomb andshort-range ones, demonstrating the robustness of non-Fermi-liquid behavior atlow $T$. In contrast, for $1/3$ fractional quantum Hall state, $\alpha_{xy}$vanishes at low $T$ with an activation gap associated with neutral collectivemodes rather than charged quasiparticles. Our results establish a newmanifestation of the non-Fermi-liquid nature of quantum Hall fluids at finitetemperature.

Thermoelectric response and entropy of fractional quantum Hall systems