Tunneling density of states in quantum dots with anisotropic exchange

Abstract

We reexamine the tunneling density of states in quantum dots and nanoparticles within the model which is extension of the universal Hamiltonian to the case of uniaxial anisotropic exchange. We derive the exact analytical result for the tunneling density of states in the case of arbitrary single-particle energy spectrum. We find that, similar to the case of the isotropic exchange, the tunneling density of states as a function of energy has the maximum due to a finite value of the total spin of the ground state near the Stoner instability. We demonstrate that there are no additional extrema which have been predicted on the basis of perturbative analysis [M.N. Kiselev and Y. Gefen, Phys. Rev. Lett. {\bf 96}, 066805 (2006)].

11 LaTex pages, 3 figures

References in corpus (16)

• Spintronic magnetic anisotropy
• Spin-Droplet State of an Interacting 2D Electron System
• Many-Body Physics and Quantum Chaos
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Spin-orbit interaction in quantum dots in the presence of exchange correlations
• Thermodynamic magnetization of two-dimensional electron gas measured over wide range of densities
• Tunnelling density of states at Coulomb blockade peaks
• The Interplay of Spin and Charge Channels in Zero Dimensional Systems
• Mesoscopic competition of superconductivity and ferromagnetism: conductance peak statistics in metallic grains
• Thermodynamics of ultrasmall metallic grains in the presence of pairing and exchange correlations: Mesoscopic fluctuations
• Anisotropy in Ferromagnetic Nanoparticles: Level-to-Level Fluctuations of a Collective Effect
• A Universal Interacting Crossover Regime in Two-Dimensional Quantum Dots
• Mesoscopic bound on anisotropy in itinerant ferromagnets
• Spin fluctuations in quantum dots
• The coexistence of superconductivity and ferromagnetism in nano-scale metallic grains
• Statistics of Spin Fluctuations in Quantum Dots with Ising Exchange