SU(4) and SU(2) Kondo Effects in Carbon Nanotube Quantum Dots

Abstract

We study the SU(4) Kondo effect in carbon nanotube quantum dots, where doubly degenerate orbitals form 4-electron ``shells''. The SU(4) Kondo behavior is investigated for one, two and three electrons in the topmost shell. While the Kondo state of two electrons is quenched by magnetic field, in case of an odd number of electrons two types of SU(2) Kondo effect may survive. Namely, the spin SU(2) state is realized in the magnetic field parallel to the nanotube (inducing primarily orbital splitting). Application of the perpendicular field (inducing Zeeman splitting) results in the orbital SU(2) Kondo effect.

5 pages. Some material was previously posted in cond-mat/0608573, v2

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Cited by in corpus (76)

• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Quantum transport in carbon nanotubes
• Advances and challenges in single-molecule electron transport
• Observation of the SU(4) Kondo state in a double quantum dot
• Universality of Non-equilibrium Fluctuations in Strongly Correlated Quantum Liquids
• Zero-bias conductance in carbon nanotube quantum dots
• Kondo effect and spin-orbit coupling in graphene quantum dots
• Magnetic Field Probing of an SU(4) Kondo Resonance in a Single Atom Transistor
• 0-$\pi$ quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy
• Kondo effect in carbon nanotube quantum dots with spin-orbit coupling
• Broken SU(4) symmetry in a Kondo-correlated carbon nanotube
• Many-Body Physics and Quantum Chaos
• Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state
• Interplay between Kondo physics and spin-orbit coupling in carbon nanotube quantum dots
• Interplay of Kondo effect and strong spin-orbit coupling in multi-hole ultraclean carbon nanotubes
• Quantum Fluctuations along Symmetry Crossover in Kondo-correlated Quantum Dot
• Shot Noise in SU(N) Quantum Dot Kondo Effects
• Fermi liquid theory for SU(N) Kondo model
• Spin polarized current and shot noise in carbon nanotube quantum dot in the Kondo regime
• The Kondo crossover in shot noise of a single quantum dot with orbital degeneracy
• Magnetic-Field Dependence of Tunnel Couplings in Carbon Nanotube Quantum Dots
• Spin-orbital Kondo effect in a parallel double quantum dot
• Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices
• 0-Pi quantum transition in a carbon nanotube Josephson junction: Universal phase dependence and orbital degeneracy
• Transport in Carbon Nanotubes: 2LSU(2) regime reveals subtle competition between Kondo and Intermediate Valence states
• SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries
• Shaping electron wave functions in a carbon nanotube with a parallel magnetic field
• Josephson effect for SU(4) carbon nanotube quantum dots
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Thermoelectric Transport through SU(N) Kondo Impurity
• Emission Noise and High Frequency Cut-Off of the Kondo Effect in a Quantum Dot
• Two-channel Kondo physics in tunnel-coupled double quantum dots
• Conditions for observing emergent SU(4) symmetry in a double quantum dot
• Blocking transport resonances via Kondo entanglement in quantum dots
• Enhanced shot noise of multiple Andreev reflections in a carbon nanotube quantum dot in SU(2) and SU(4) Kondo regimes
• Nonlinear Seebeck effect of SU($N$) Kondo impurity
• Spin-orbital and spin Kondo effects in parallel coupled quantum dots
• Kondo effect in a carbon nanotube with spin-orbit interaction and valley mixing: A DM-NRG study
• Field-induced SU(4) to SU(2) Kondo crossover in a half-filling nanotube dot: spectral and finite-temperature properties
• Finite-frequency-dependent noise of a quantum dot in a magnetic field
• Abrupt disappearance and reemergence of the SU(2) and SU(4) Kondo effects due to population inversion
• Kramers polarization in strongly correlated carbon nanotube quantum dots
• Transport and entanglement across integrable impurities from Generalized Hydrodynamics
• Field-Enhanced Kondo Correlations in a Half-Filling Nanotube Dot: Evolution of an SU(N) Fermi-Liquid Fixed Point
• Orbital caloritronic transport in strongly interacting quantum dots
• Width of the charge-transfer peak in the SU(N) impurity Anderson model and its relevance to non-equilibrium transport
• SU(12) Kondo Effect in Carbon Nanotube Quantum Dot
• Ground State and Excitations of Quantum Dots with "Magnetic Impurities"
• Nonlinear Fermi-liquid transport through a quantum dot in asymmetric tunnel junctions
• Transport and Strong-Correlation Phenomena in Carbon Nanotube Quantum Dots in a Magnetic Field
• Intra- and inter-shell Kondo effects in carbon nanotube quantum dots
• Three-orbital Kondo effect in single quantum dot system with plural electrons
• Compensation effect in carbon nanotube quantum dots coupled to polarized electrodes in the presence of spin-orbit coupling
• Interaction-driven giant orbital magnetic moments in carbon nanotubes
• Effects of strong electron interactions and resonance scattering on power output of nano-devices
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• SU(4) Kondo entanglement in double quantum dot devices
• Investigations of local electronic transport in InAs nanowires by scanning gate microscopy at helium temperatures
• Cotunneling renormalization in carbon nanotube quantum dots
• Role of bias and tunneling asymmetries in nonlinear Fermi-liquid transport through an SU($N$) quantum dot
• Quantum noise in carbon nanotubes as a probe of correlations in the Kondo regime
• Josephson junctions based on ultraclean carbon nanotubes
• Programmable Kondo Effect Formed by Landau Levels
• Nanotube Quantum Dot Transport With Spin-Orbit Coupling and Interacting Leads
• Selective tuning of spin-orbital Kondo contributions in parallel-coupled quantum dots
• From Transparent Conduction to Coulomb Blockade at Fixed Hole Number
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• Two-orbital Kondo effect in quantum dot coupled to ferromagnetic leads
• Conductance of Quantum Impurity Models from Quantum Monte Carlo
• Correlation effects and spin dependent transport in carbon nanostructures
• Kondo effect in Complex Quantum Dots in the presence of an oscillating and fluctuating gate signal
• Coupling of shells in a carbon nanotube quantum dot
• Impact of electron-phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime
• Transmission phase evolution in fully screened and overscreened Kondo impurities
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• Fractional shot noise of an SU(N) Kondo system