Many-body quantum interference route to the two-channel Kondo effect: Inverse design for molecular junctions and quantum dot devices

Abstract

Molecular junctions -- whether actual single molecules in nanowire break junctions or artificial molecules realized in coupled quantum dot devices -- offer unique functionality due to their orbital complexity, strong electron interactions, gate control, and many-body effects from hybridization with the external electronic circuit. Inverse design involves finding candidate structures that perform a desired function optimally. Here we develop an inverse design strategy for generalized quantum impurity models describing molecular junctions, and as an example, use it to demonstrate that many-body quantum interference can be leveraged to realize the two-channel Kondo critical point in simple 4- or 5-site molecular moieties. We show that remarkably high Kondo temperatures can be achieved, meaning that entropy and transport signatures should be experimentally accessible.

4.5 pages + supplementary material

References in corpus (23)

• The density-matrix renormalization group in the age of matrix product states
• The numerical renormalization group method for quantum impurity systems
• Mechanically-Controlled Binary Conductance Switching of a Single-Molecule Junction
• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• Observation of the two-channel Kondo effect
• Inelastic electron tunneling via molecular vibrations in single-molecule transistors
• Quantum phase transition in a single-molecule quantum dot
• Experimental Evidence for Quantum Interference and Vibrationally Induced Decoherence in Single-Molecule Junctions
• Nonequilibrium Singlet-Triplet Kondo Effect in Carbon Nanotubes
• Truncated Configuration Interaction expansions as solvers for correlated quantum impurity models and dynamical mean field theory
• Vibrational Sidebands and Kondo-effect in Molecular Transistors
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Universal low-temperature crossover in two-channel Kondo models
• Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
• Anyons in Multichannel Kondo Systems
• Entropy measurement of a strongly coupled quantum dot
• Phonon-assisted tunneling and two-channel Kondo physics in molecular junctions
• Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
• Strong vs. Weak Coupling Duality and Coupling Dependence of the Kondo Temperature in the Two-Channel Kondo Model
• Automatic Differentiable Numerical Renormalization Group
• Endohedral Impurities in Carbon Nanotubes
• Two-level Physics in a Model Metallic Break Junction
• Nanoscale single-electron box with a floating lead for quantum sensing: modelling and device characterization

Cited by in corpus (4)

• Theoretical model for multi-orbital Kondo screening in strongly correlated molecules with several unpaired electrons
• Metrological symmetries in singular quantum multi-parameter estimation
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Unsupervised Learning of Effective Quantum Impurity Models