Conductance and Kondo Interference beyond Proportional Coupling

Abstract

The transport properties of nanostructured systems are deeply affected by the geometry of the effective connections to metallic leads. In this work we derive a conductance expression for interacting systems whose connectivity geometries do not meet the Meir-Wingreen proportional coupling condition. As an interesting application, we consider a quantum dot connected coherently to tunable electronic cavity modes. The structure is shown to exhibit a well-defined Kondo effect over a wide range of coupling strengths between the two subsystems. In agreement with recent experimental results, the calculated conductance curves exhibit strong modulations and asymmetric behavior as different cavity modes are swept through the Fermi level. These conductance modulations occur, however, while maintaining robust Kondo singlet correlations of the dot with the electronic reservoir, a direct consequence of the lopsided nature of the device.

Version published in PRL. 18 pages (4+1 pages + 13 pages of supplementary material)

References in corpus (9)

• Quantum nature of a strongly-coupled single quantum dot-cavity system
• The numerical renormalization group method for quantum impurity systems
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Zero-field Kondo splitting and quantum-critical transition in double quantum dots
• Transport Spectroscopy of a Spin-Coherent Dot-Cavity System
• Spectral density of an interacting dot coupled indirectly to conducting leads
• Finite-temperature conductance signatures of quantum criticality in double quantum dots
• Electron phase shift at the zero-bias anomaly of quantum point contacts

Cited by in corpus (11)

• Manipulating Majorana zero modes in double quantum dots
• Multi-terminal far-from-equilibrium thermoelectric nano-devices in the Kondo regime
• Long-range spin-coherence in a strongly-coupled all electronic dot-cavity system
• Cavity-mediated coherent coupling between distant quantum dots
• Entanglement based observables for quantum impurities
• Quantitative comparison of Anderson impurity solvers applied to transport in quantum dots
• Kondo screening regimes in multi-Dirac and Weyl systems
• Coherent exchange-coupled nonlocal Kondo impurities
• A T-shaped double quantum dot system as a Fano interferometer: interplay of coherence and correlation upon spin currents
• Magnetoresistance in an electronic cavity coupled to one-dimensional systems
• Transport in Single Quantum Dots: A Review from Linear Response to Nonlinear Regimes