Scaling of conductance through quantum dots with magnetic field

Abstract

Using different techniques, and Fermi-liquid relationships, we calculate the variation with applied magnetic field (up to second order) of the zero-temperature equilibrium conductance through a quantum dot described by the impurity Anderson model. We focus on the strong-coupling limit $U\gg \Delta$ where $U$ is the Coulomb repulsion and $\Delta$ is half the resonant-level width, and consider several values of the dot level energy $E_d$, ranging from the Kondo regime ${\epsilon }_F-E_d\gg \Delta$ to the intermediate-valence regime ${\epsilon }_F-E_d\sim \Delta$, where ${\epsilon }_F$ is the Fermi energy. We have mainly used density-matrix renormalization group (DMRG) and numerical renormalization group (NRG) combined with renormalized perturbation theory (RPT). Results for the dot occupancy and magnetic susceptibility from DMRG and NRG+RPT are compared with the corresponding Bethe ansatz results for $U\to \infty$, showing an excellent agreement once $E_d$ is renormalized by a constant Haldane shift. For $U<3\Delta$ a simple perturbative approach in $U$ agrees very well with the other methods. The conductance decreases with applied magnetic field for dot occupancies $n_d\sim 1$ and increases for $n_d\sim 0.5$ or $n_d\sim 1.5$ regardless of the value of $U$. We also relate the energy scale for the magnetic-field dependence of the conductance with the width of low energy peak in the spectral density of the dot.

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
• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• New Trends in Density Matrix Renormalization
• Quantum phase transition in a single-molecule quantum dot
• Tuning the Kondo effect with a mechanically controllable break junction
• Strongly correlated regimes in a double quantum-dot device
• 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
• Transport properties and Kondo correlations in nanostructures: the time-dependent DMRG method applied to quantum dots coupled to Wilson chains
• Universal Scaling of Nonequilibrium Transport in the Kondo Regime of Single Molecule Devices
• Density-matrix renormalisation group approach to quantum impurity problems
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• 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
• Conductance scaling in Kondo correlated quantum dots: role of level asymmetry and charging energy
• Universal scaling in nonequilibrium transport through an Anderson impurity
• Full density matrix numerical renormalization group calculation of impurity susceptibility and specific heat of the Anderson impurity model
• Nonequilibrium self-energies, Ng approach and heat current of a nanodevice for small bias voltage and temperature
• Impact of capacitance and tunneling asymmetries on Coulomb blockade edges and Kondo peaks in non-equilibrium transport through molecular quantum dots
• Magnetic-Field-Induced Crossover to a Nonuniversal Regime in a Kondo Dot
• Spin selective transport through Aharonov-Bohm and Aharonov-Casher triple quantum dot systems

Cited by in corpus (6)

• Green's function methods for single molecule junctions
• At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model
• Heat current across a capacitively coupled double quantum dot for high magnetic field
• Relation between width of the zero-bias anomaly and Kondo temperaure in transport measurements through correlated quantum dots: Effect of asymmetric coupling to the leads
• Replicas of the Kondo peak due to electron-vibration interaction in molecular transport properties
• Leading temperature dependence of the conductance in Kondo-correlated quantum dots