Magnetic Field Effects on Quasiparticles in Strongly Correlated Local Systems

Details Magnetic Field Effects on Quasiparticles in Strongly Correlated Local Systems Magnetic Field Effects on Quasiparticles in Strongly Correlated Local Systems

2005-08-19

arxiv.org/abs/cond-mat/0508465v1

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 17 figures

Scientific paper

10.1103/PhysRevB.73.045117

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.

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