Quantum criticality near the Stoner transition in a two-dot with spin-orbit coupling

Abstract

We study a system of two tunnel-coupled quantum dots, with the first dot containing interacting electrons (described by the Universal Hamiltonian) not subject to spin-orbit coupling, whereas the second contains non-interacting electrons subject to spin-orbit coupling. We focus on describing the behavior of the system near the Stoner transition. Close to the critical point quantum fluctuations become important and the system enters a quantum critical regime. The large-$N$ approximation allows us to calculate physical quantitites reliably even in this strongly fluctuating regime. In particular, we find a scaling function to describe the crossover of the quasiparticle decay rate between the renormalized Fermi liquid regime and the quantum critical regime.

19 pages, 5 figures

References in corpus (6)

• Electron correlations in metal nanoparticles with spin-orbit scattering
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Random Matrix Crossovers and Quantum Critical Crossovers for Interacting Electrons in Quantum Dots
• On the scaling approach to electron-electron interactions in a chaotic quantum dot
• Large spin-orbit effects in small quantum dots
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Cited by in corpus (6)

• An Exact Solution for Spin and Charge Correlations in Quantum Dots: The Effect of Level Fluctuations and Zeeman Splitting
• Mesoscopic Stoner instability in open quantum dots: suppression of Coleman-Weinberg mechanism by electron tunneling
• Spatial correlations in chaotic nanoscale systems with spin-orbit coupling
• Spin fluctuations in quantum dots
• Statistics of Spin Fluctuations in Quantum Dots with Ising Exchange
• Tunneling density of states in quantum dots with anisotropic exchange