Signatures of a Noise-Induced Quantum Phase Transition in a Mesoscopic Metal Ring

Details Signatures of a Noise-Induced Quantum Phase Transition in a Mesoscopic Metal Ring Signatures of a Noise-Induced Quantum Phase Transition in a Mesoscopic Metal Ring

2005-12-14

arxiv.org/abs/cond-mat/0512315v2

Phys. Rev. Lett. 97, 016802 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures, realistic parameters estimated, reference updated

Scientific paper

10.1103/PhysRevLett.97.016802

We study a mesoscopic ring with an in-line quantum dot threaded by an Aharonov-Bohm flux. Zero-point fluctuations of the electromagnetic environment capacitively coupled to the ring, with $\omega^s$ spectral density, can suppress tunneling through the dot, resulting in a quantum phase transition from an unpolarized to a polarized phase. We show that robust signatures of such a transition can be found in the response of the persistent current in the ring to the external flux as well as to the bias between the dot and the arm. Particular attention is paid to the experimentally relevant cases of ohmic ($s=1$) and subohmic ($s=1/2$) noise.

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