Magnetic Field Effects on Quasiparticles in Strongly Correlated Local Systems

Abstract

We show that quasiparticles in a magnetic field of arbitrary strength $H$ can be described by field dependent parameters. We illustrate this approach in the case of an Anderson impurity model and use the numerical renormalization group (NRG) to calculate the renormalized parameters for the levels with spin $\sigma$, ${\tilde{\epsilon }}_{\mathrm{d},\sigma }(H)$, resonance width $\tilde{\Delta }(H)$ and the effective local quasiparticle interaction $\tilde{U}(H)$. In the Kondo or strong correlation limit of the model the progressive de-renormalization of the quasiparticles can be followed as the magnetic field is increased. The low temperature behaviour, including the conductivity, in arbitrary magnetic field can be calculated in terms of the field dependent parameters using the renormalized perturbation expansion. Using the NRG the field dependence of the spectral density on higher scales is also calculated.

15 pages, 17 figures

References in corpus (23)

• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Kondo effect in a magnetic field and the magnetoresistivity of Kondo alloys
• Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Kondo effect in quantum dots
• Generalized Numerical Renormalization Group for Dynamical Quantities
• Measurements of Kondo and spin splitting in single-electron transistors
• Numerical Renormalization Group Study of the Anderson-Holstein Impurity Model
• Fermi liquid theory for the Anderson model out of equilibrium
• Anomalous magnetic splitting of the Kondo resonance
• Renormalized Parameters for Impurity Models
• Renormalized perturbation calculations for the single impurity Anderson model
• Fermi liquid theory for the nonequilibrium Kondo effect at low bias voltages
• Non-equilibrium Differential Conductance through a Quantum Dot in a Magnetic Field
• Spectral function of the Kondo model in high magnetic fields
• Magnetic Field Effects on Quasiparticles in Strongly Correlated Local Systems
• Field-dependent dynamics of the Anderson impurity model
• Kondo-temperature dependence of the Kondo splitting in a single-electron transistor
• Polaronic Quasiparticles in a Strongly Correlated Electron Band
• The Strong Coupling Fixed-Point Revisited

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