Kondo effect in multielectron quantum dots at high magnetic fields

We present a general description of low-temperature transport through a quantum dot with any number of electrons at filling factor $1<\mathrm{}\nu <2\mathrm{}$. We provide a general description of a Kondo effect that is turned on by application of an appropriate magnetic field. The spin-flip scattering of carriers by the quantum dot only involves two states of the scatterer that may have a large spin. This process is described by spin-flip Hubbard operators, which change the angular momentum, leading to a Kondo Hamiltonian. We obtain antiferromagnetic exchange couplings depending on tunneling amplitudes and correlation effects. Since Kondo temperature has an exponential dependence on exchange couplings, quantitative variations of the parameters in different regimes have important experimental consequences. In particular, we discuss the chessboard aspect of the experimental conductance when represented in a gray scale as a function of both the magnetic field and the gate potential affecting the quantum dot.