We investigate dissipationless magneto-Seebeck effect in three-dimensional Dirac and Weyl semimetals. The Hall resistivity ${\rho }_{yx}$ and thermoelectric Hall coefficient ${\alpha }_{xy}$ exhibit plateaus at the quantum limit, where electrons occupy only the zeroth Landau level. In this condition, quantum oscillation in the Seebeck coefficient $S_{xx}\approx {\rho }_{yx}{\alpha }_{xy}$ is suppressed, and the massless fermions are transformed into a Fermi liquid system. We show that the Seebeck coefficient at the quantum limit is expressed by the harmonic sum of Fermi wavelength and thermal de Broglie wavelength scaled by magnetic length.

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• Electrical properties
• High magnetic fields
• Landau levels
• Quantum Hall effect
• Quantum phase transitions
• Thermoelectric effects
• Thermomagnetic effects
• Topological phases of matter