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VOLUME 92 | ISSUE 3 | PAGE 202
Spin and Charge Correlations in Quantum Dots: An Exact Solution
I. S. Burmistrov^{+\ddag}, Yu. Gefen^{\square}, M. N. Kiselev^{\triangle}
+L.D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia
^{\ddag} Department of Theoretical Physics, Moscow Institute of Physics and Technology, 141700 Moscow, Russia
^{\square}Department of Condensed Matter Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel
^\triangle International Center for Theoretical Physics, 34014 Trieste, Italy

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 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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