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We theoretically investigate the thermo-particle transport properties of anunitary Fermi gas be- tween two reservoirs connected by a quantum pointcontact. We find several distinguished properties that are qualitativelydifferent from those of weak or non-interacting gas systems. The particletrans- port figure of merit is drastically enhanced in the unitary regime andit increases as the transmission coefficient increases, exactly opposite to thebehavior in the weak or non-interacting gas systems. The Lorentz numberviolates the Wiedemann-Franz law, demonstrating the breakdown of Fermi liquid.These transport properties are the hallmarks of the unitary Fermi gas and areattributed to the existence of preformed Cooper pairs.

Giant Enhancement of the Thermo-Particle Transport Figure of Merit and Breakdown of the Wiedemann-Franz Law in Unitary Fermi Gases