Universal transport near a quantum critical Mott transition in two dimensions

作者：Witczak Krempa William^*; Ghaemi Pouyan; Senthil T; Kim Yong Baek

来源：Physical Review B, 2012, 86(24): 245102.

DOI：10.1103/PhysRevB.86.245102

We discuss the universal-transport signatures near a zero-temperature continuous Mott transition between a Fermi liquid 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 the quasitriangular organic salts is made, where such a transition might occur. Finally, we present some transport results for the pure rotor O(N) conformal field theory.

• 出版日期2012-12-5