Magnetic field effects in few-level quantum dots: theory, and application to experiment

Details Magnetic field effects in few-level quantum dots: theory, and application to experiment Magnetic field effects in few-level quantum dots: theory, and application to experiment

2011-07-13

arxiv.org/abs/1107.2592v2

Phys. Rev. B 84, 115308 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 12 figures. Version as published in PRB

Scientific paper

10.1103/PhysRevB.84.115308

We examine several effects of an applied magnetic field on Anderson-type models for both single- and two-level quantum dots, and make direct comparison between numerical renormalization group (NRG) calculations and recent conductance measurements. On the theoretical side the focus is on magnetization, single-particle dynamics and zero-bias conductance, with emphasis on the universality arising in strongly correlated regimes; including a method to obtain the scaling behavior of field-induced Kondo resonance shifts over a very wide field range. NRG is also used to interpret recent experiments on spin-1/2 and spin-1 quantum dots in a magnetic field, which we argue do not wholly probe universal regimes of behavior; and the calculations are shown to yield good qualitative agreement with essentially all features seen in experiment. The results capture in particular the observed field-dependence of the Kondo conductance peak in a spin-1/2 dot, with quantitative deviations from experiment occurring at fields in excess of $\sim$ 5 T, indicating the eventual inadequacy of using the equilibrium single-particle spectrum to calculate the conductance at finite bias.

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