Statistics of Spin Fluctuations in Quantum Dots with Ising Exchange

Abstract

We explore the effect of single-particle level fluctuations on the Stoner instability in a QD with a strong spin-orbit coupling in the framework of the universal Hamiltonian with the Ising exchange interaction. We reduce the problem to studying the statistics of extrema of a certain Gaussian process and demonstrate that, in spite of the randomness of the single-particle levels, the longitudinal spin susceptibility and all its moments diverge simultaneously at the point of the Stoner instability which is determined by the standard criterion involving the mean level spacing only.

LaTeX 5+5 pages, 1 figure

References in corpus (10)

• Many-Body Physics and Quantum Chaos
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• Tunnelling density of states at Coulomb blockade peaks
• The Interplay of Spin and Charge Channels in Zero Dimensional Systems
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• Mesoscopic competition of superconductivity and ferromagnetism: conductance peak statistics in metallic grains
• An Exact Solution for Spin and Charge Correlations in Quantum Dots: The Effect of Level Fluctuations and Zeeman Splitting
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Cited by in corpus (5)

• Mesoscopic Stoner instability in open quantum dots: suppression of Coleman-Weinberg mechanism by electron tunneling
• Spin fluctuations in quantum dots
• Inelastic electron scattering off a quantum dot in the cotunneling regime: the signature of mesoscopic Stoner instability
• U(1) and SU(2) quantum dissipative systems: The Caldeira-Leggett vs. the Amegaokar-Eckern-Schön approaches
• Tunneling density of states in quantum dots with anisotropic exchange