Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-01-23
Phys. Rev. B 85, 155311 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
LaTeX, 23 pages, 7 figures
Scientific paper
10.1103/PhysRevB.85.155311
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. We calculate the tunneling density of states and the spin susceptibility. We demonstrate that near the Stoner instability the spin susceptibility follows a Curie law with an effective spin. The latter depends logarithmically on temperature due to the statistical fluctuations of the single-particle levels. Near the Stoner instability the tunneling density of states exhibits a non-monotonous behavior as function of the tunneling energy, even at temperatures higher than the exchange energy. This is due to ehnanced spin correlations. Our results could be tested in quantum dots made of nearly ferromagnetic materials.
Burmistrov Igor S.
Gefen Yuval
Kiselev Michael N.
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