Width of the charge-transfer peak in the SU(N) impurity Anderson model and its relevance to non-equilibrium transport

Abstract

We calculate the width $2{\Delta }_{\text{CT}}$ and intensity of the charge-transfer peak (the one lying at the on-site energy $E_d$) in the impurity spectral density of states as a function of $E_d$ in the SU($N$) impurity Anderson model (IAM). We use the dynamical density-matrix renormalization group (DDMRG) and the noncrossing-approximation (NCA) for $N$=4, and a 1/$N$ variational approximation in the general case. In particular, while for $E_d\gg \Delta$, where $\Delta$ is the resonant level half-width, ${\Delta }_{\text{CT}}=\Delta$ as expected in the noninteracting case, for $-E_d\gg N\Delta$ one has ${\Delta }_{\text{CT}}=N\Delta$. In the $N$=2 case, some effects of the variation of with $E_d$ were observed in the conductance through a quantum dot connected asymmetrically to conducting leads at finite bias [J. Könemann \textit{et al.}, Phys. Rev. B \textbf{73}, 033313 (2006)]. More dramatic effects are expected in similar experiments, that can be carried out in systems of two quantum dots, carbon nanotubes or other, realizing the SU(4) IAM.

References in corpus (25)

• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• Quantum phase transition in a single-molecule quantum dot
• Tuning the Kondo effect with a mechanically controllable break junction
• Universal Scaling in Non-equilibrium Transport Through a Single-Channel Kondo Dot
• Kondo resonances and anomalous gate dependence of electronic conduction in single-molecule transistors
• Berry Phase Oscillations of the Kondo Effect in Single-Molecule Magnets
• SU(4) and SU(2) Kondo Effects in Carbon Nanotube Quantum Dots
• Electronic Transport Spectroscopy of Carbon Nanotubes in a Magnetic Field
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• High Resolution Photoemission Study on Low-T_K Ce Systems: Kondo Resonance, Crystal Field Structures, and their Temperature Dependence
• Zero-bias conductance in carbon nanotube quantum dots
• Universal Scaling of Nonequilibrium Transport in the Kondo Regime of Single Molecule Devices
• Correlated electron tunneling through two separate quantum dot systems with strong capacitive interdot coupling
• Density-matrix renormalisation group approach to quantum impurity problems
• Anderson Model out of equilibrium: decoherence effects in transport through a quantum dot
• High Energy Dynamics of the Single Impurity Anderson Model
• Spectral Densities from Dynamic Density-Matrix Renormalization
• Thermopower of an SU(4) Kondo resonance under an SU(2) symmetry-breaking field
• Spectral density of an interacting dot coupled indirectly to conducting leads
• Nonequilibrium self-energies, Ng approach and heat current of a nanodevice for small bias voltage and temperature
• Full electrostatic control over polarized currents through spin-orbital Kondo effect
• The Kondo Temperature of SU(4) Symmetric Quantum Dots
• Non-Fermi liquid behaviour in non-equilibrium transport through Co doped Au chains connected to four-fold symmetric leads
• The $SU(4)-SU(2)$ crossover and spin filter properties of a double quantum dot nanosystem
• Kondo temperature when the Fermi level is near a step in the conduction density of states

Cited by in corpus (1)

• Kondo physics of magnetic adatoms on metallic surfaces when the onset of the surface conduction density of states crosses the Fermi level