Universal transport near a quantum critical Mott transition in two dimensions
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Senthil_Universal transport.pdf
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Author(s)
Witczak-Krempa, William
Ghaemi, Pouyan
Kim, Yong Baek
Todadri, Senthil
Date Issued
December 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
Witczak-Krempa, William, Pouyan Ghaemi, T. Senthil, and Yong Baek Kim. “Universal transport near a quantum critical Mott transition in two dimensions.” Physical Review B 86, no. 24 (December 2012). © 2012 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.86.245102
