Non-equilibrium conductivity at quantum critical points

Abstract

Quantum criticality provides an important route to revealing universal non-equilibrium behaviour. A canonical example of a quantum critical point is the Bose-Hubbard model, which we study under the application of an electric field. A Boltzmann transport formalism and $\epsilon$-expansion are used to obtain the non-equilibrium conductivity and current noise. This approach allows us to explicitly identify how a universal non-equilibrium steady state is maintained, by identifying the rate-limiting step in balancing Joule heating and dissipation to a heat bath. It also reveals that the non-equilibrium distribution function is very far from a thermal distribution.

5 pages, 2 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum critical transport in clean graphene
• Quantum-critical relativistic magnetotransport in graphene
• The quasi-normal modes of quantum criticality
• Non-linear, Finite Frequency Quantum Critical Transport from AdS/CFT
• Magnetothermoelectric Response near Quantum Critical Points
• Current fluctuations near to the 2D superconductor-insulator quantum critical point
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Cited by in corpus (4)

• Nonlinear Transport in a Two Dimensional Holographic Superconductor
• Nonlinear conductivity and the ringdown of currents in metallic holography
• Strong non-linear response of strange metals
• Nonlinear conductivity in CaRuO3 thin films measured by short current pulses