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arXiv · 0906.1838

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

Oleksandr Zelyak·Ganpathy Murthy
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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.

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Oleksandr Zelyak, Ganpathy Murthy. 2009-06-09. Quantum criticality near the Stoner transition in a two-dot with spin-orbit coupling. https://doi.org/10.1103/physrevb.80.205310

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