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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Conductance of a dissipative quantum dot: Nonequilibrium crossover near a non-Fermi-liquid quantum critical point

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Author(s):
Zhang, Gu [1, 2] ; Novais, E. [3] ; Baranger, Harold U. [1]
Total Authors: 3
Affiliation:
[1] Duke Univ, Dept Phys, Durham, NC 27708 - USA
[2] Karlsruhe Inst Technol, Inst Quantum Mat & Technol, D-76021 Karlsruhe - Germany
[3] Univ Fed ABC, Ctr Ciincias Nat & Humanas, BR-09210580 Santo Andre, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Physical Review B; v. 104, n. 16 OCT 25 2021.
Web of Science Citations: 0
Abstract

We find the nonlinear conductance of a dissipative resonant level in the nonequilibrium steady state near its quantum critical point. The system consists of a spin-polarized quantum dot connected to two resistive leads that provide ohmic dissipation. We focus on the crossover from the strong-coupling, non-Fermi-liquid regime to the weak-coupling, Fermi-liquid ground state, a crossover driven by the instability of the quantum critical point to hybridization asymmetry or detuning of the level in the dot. We show that the crossover properties are given by tunneling through an effective single barrier described by the boundary sine-Gordon model. The nonlinear conductance is then obtained from thermodynamic Bethe ansatz results in the literature, which were developed to treat tunneling in a Luttinger liquid. The current-voltage characteristics are thus found for any value of the resistance of the leads. For the special case of lead resistance equal to the quantum resistance, we find mappings onto, first, the two-channel Kondo model and, second, an effectively noninteracting model from which the nonlinear conductance is found analytically. A key feature of the general crossover function is that the nonequilibrium crossover driven by applied bias is different from the crossover driven by temperature-we find that the nonequilibrium crossover is substantially sharper. Finally, we compare to experimental results for both the bias and temperature crossovers: the agreement is excellent. (AU)

FAPESP's process: 14/26356-9 - Quantum phases of out of equilibrium systems in quantum information problems
Grantee:Eduardo Peres Novais de Sá
Support Opportunities: Regular Research Grants