We discuss the universal transport signatures near a zero-temperature
continuous Mott transition between a Fermi liquid (FL) and a quantum spin
liquid in two spatial dimensions. The correlation-driven transition occurs at
fixed filling and involves fractionalization of the electron: upon entering the
spin liquid, a Fermi surface of neutral spinons coupled to an internal gauge
field emerges. We present a controlled calculation of the value of the zero
temperature universal resistivity jump predicted to occur at the transition.
More generally, the behavior of the universal scaling function that collapses
the temperature and pressure dependent resistivity is derived, and is shown to
bear a strong imprint of the emergent gauge fluctuations. We further predict a
universal jump of the thermal conductivity across the Mott transition, which
derives from the breaking of conformal invariance by the damped gauge field,
and leads to a violation of the Wiedemann-Franz law in the quantum critical
region. A connection to organic salts is made, where such a transition might
occur. Finally, we present some transport results for the pure rotor O(N) CFT.Comment: 27 pages, 16 figure
