Unification of electromagnetic noise and Luttinger liquid via a quantum dot

Details Unification of electromagnetic noise and Luttinger liquid via a quantum dot Unification of electromagnetic noise and Luttinger liquid via a quantum dot

2004-10-18

arxiv.org/abs/cond-mat/0410446v3

Phys. Rev. B 72, 073305 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Final version appearing in PRB

Scientific paper

10.1103/PhysRevB.72.073305

We investigate the effect of dissipation on a small quantum dot (resonant level) tunnel-coupled to a chiral Luttinger liquid (LL) with the LL parameter $K$. The dissipation stems from the coupling of the dot to an electric environment, being characterized by the resistance $R$, via Coulomb interactions. We show that this problem can be mapped onto a Caldeira-Leggett model where the (ohmic) bath of harmonic oscillators is governed by the effective dissipation strength $\alpha=(2\tilde{K})^{-1}$ with $\tilde{K}^{-1}=K^{-1}+2R/R_K$ and $R_K=h/e^2$ the quantum of resistance. Experimental consequences are discussed and the limit $K=1/2^+$ is thoroughly studied at small $R/R_K$ through the spin-boson-fermion model.

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