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We find the nonlinear conductance of a dissipative resonant level in thenonequilibrium steady state near its quantum critical point. The systemconsists of a spin-polarized quantum dot connected to two resistive leads thatprovide ohmic dissipation. We focus on the crossover from the strong-coupling,non-Fermi-liquid regime to the weak-coupling, Fermi-liquid ground state, acrossover driven by the instability of the quantum critical point tohybridization asymmetry or detuning of the level in the dot. We show that thecrossover properties are given by tunneling through an effective single barrierdescribed by the boundary sine-Gordon model. The nonlinear conductance is thenobtained from thermodynamic Bethe ansatz results in the literature, which weredeveloped to treat tunneling in a Luttinger liquid. The current-voltagecharacteristics are thus found for any value of the resistance of the leads.For the special case of lead resistance equal to the quantum resistance, wefind mappings onto, first, the two-channel Kondo model and, second, aneffectively noninteracting model from which the nonlinear conductance is foundanalytically. A key feature of the general crossover function is that thenonequilibrium crossover driven by applied bias is different from the crossoverdriven by temperature -- we find that the nonequilibrium crossover issubstantially sharper. Finally, we compare to experimental results for both thebias and temperature crossovers: the agreement is excellent.

Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point