Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field

Abstract

We study the competition between interference due to multiple single-particle paths and Coulomb interaction in a simple model of an Anderson-like impurity with local-magnetic-field-induced level splitting coupled to ferromagnetic leads. The model along with its potential experimental relevance in the field of spintronics serves as a nontrivial benchmark system where various quantum transport approaches can be tested and compared. We present results for the linear conductance obtained by a spin-dependent implementation of the density matrix renormalization group scheme which are compared with a mean-field solution as well as a seemingly more advanced Hubbard-I approximation. We explain why mean-field yields nearly perfect results, while the more sophisticated Hubbard-I approach fails, even at a purely conceptual level since it breaks hermiticity of the related density matrix. Furthermore, we study finite bias transport through the impurity by the mean-field approach and recently developed higher-order density matrix equations. We find that the mean-field solution fails to describe the plausible results of the higher-order density matrix approach both quantitatively and qualitatively as it does not capture some essential features of the current-voltage characteristics such as negative differential conductance.

References in corpus (44)

• Dynamical density-matrix renormalization-group method
• Electric Field Control of Spin Transport
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Controlling quantum transport through a single molecule
• Theory of Transport through Quantum-Dot Spin Valves in the Weak-Coupling Regime
• Electric-field controlled spin reversal in a quantum dot with ferromagnetic contacts
• Interaction-driven spin precession in quantum-dot spin valves
• Many-body Green's function theory of Heisenberg films
• Aharonov-Bohm Interferometry with Interacting Quantum Dots: Spin Configurations, Asymmetric Interference Patterns, Bias-Voltage-Induced Aharonov-Bohm Oscillations, and Symmetries of Transport Coefficients
• Tunneling through nanosystems: Combining broadening with many-particle states
• Probing electronic excitations in molecular conduction
• Multi-impurity Anderson model for quantum dots coupled in parallel
• Current collapse in tunneling transport through benzene
• Correlation induced resonances in transport through coupled quantum dots
• On the applicability of the equations-of-motion technique for quantum dots
• Spin effects in electron tunnelling through a quantum dot coupled to non-collinearly polarized ferromagnetic leads
• Selection Rules for Transport Excitation Spectroscopy of Few-Electron Quantum Dots
• Magnetic field dependent transmission phase of a double dot system in a quantum ring
• Symmetry fingerprints of a benzene single-electron transistor
• DMRG evaluation of the Kubo formula -- Conductance of strongly interacting quantum systems
• Coherent Transport through an interacting double quantum dot: Beyond sequential tunneling
• Unified description of correlations in double quantum dots
• Effects of different geometries on the conductance, shot noise and tunnel magnetoresistance of double quantum dots
• Nonequilibrium isolated molecule limit
• Constructing Spin Interference Devices from Nanometric Rings
• Transmission through Quantum Dots: Focus on Phase Lapses
• The Magneto-coulomb effect in spin valve devices
• Strong enhancement of transport by interaction on contact links
• Interference and interaction effects in multi-level quantum dots
• Effects of interactions in transport through Aharonov-Bohm-Casher interferometers
• Many-Body Approch to Spin-Dependent Transport in Quantum Dot Systems
• Non-equilibrium theory for strongly coupled quantum dot with arbitrary on-site correlation strength
• Non-collinear magnetoconductance of a quantum dot
• Cotunneling through a quantum dot coupled to ferromagnetic leads with noncollinear magnetizations
• Theory of strongly correlated f and d-electron systems. I. Exact Hamiltonian, Hubbard-Anderson models and perturbation theory near atomic limit within non-orthogonal basis set
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
• Angular Conductance Resonances of Quantum Dots Non-Collinearly Coupled to Ferromagnetic Leads
• Fano effect in a Josephson junction with a quantum dot
• Interference through quantum dots
• Tunneling resonances in quantum dots: Coulomb interaction modifies the width
• Transport through a multiply connected interacting meso-system using the Keldysh formalism
• Kondo Physics and Exact Solvability of Double Dots Systems
• Electron transport in the four-lead two-impurity Kondo model: Nonequilibrium perturbation theory with almost degenerate levels
• Detection of exchange interaction in STM measurements through Fanolike interference effects

Cited by in corpus (11)

• Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
• Transport in molecular states language: Generalized quantum master equation approach
• Correlation-induced conductance suppression at level degeneracy in a quantum dot
• The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
• Modeling of cotunneling in quantum dot systems
• Nonequilibrium diagrammatic technique for Hubbard Green functions
• Resonant magneto-tunneling between normal and ferromagnetic electrodes in relation to the three-terminal spin transport
• The dark side of benzene: interference vs. interaction
• Symmetry breaking and restoration using the equation-of-motion technique for nonequilibrium quantum impurity models
• A non-equilibrium equation-of-motion approach to quantum transport utilizing projection operators
• Noise calculations within the second-order von Neumann approach