Spin and Charge Correlations in Quantum Dots: An Exact Solution

Details Spin and Charge Correlations in Quantum Dots: An Exact Solution Spin and Charge Correlations in Quantum Dots: An Exact Solution

2009-12-16

arxiv.org/abs/0912.3185v2

Pis'ma v ZhETF 92, 202 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

JETPL class, 6 pages, 2 figures

Scientific paper

The inclusion of charging and spin-exchange interactions within the Universal Hamiltonian description of quantum dots is challenging as it leads to a non-Abelian action. Here we present an {\it exact} analytical solution of the probem, in particular, in the vicinity of the Stoner instabilty point. We calculate several observables, including the tunneling density of states (TDOS) and the spin susceptibility. Near the instability point the TDOS exhibits a non-monotonous behavior as function of the tunneling energy, even at temperatures higher than the exchange energy. Our approach is generalizable to a broad set of observables, including the a.c. susceptibility and the absorption spectrum for anisotropic spin interaction. Our results could be tested in nearly ferromagnetic materials.

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