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Quantization of charge and persistent current in a Luttinger liquid ring

✍ Scribed by P. Sandström; I.V. Krive; R.I. Shekhter; M. Jonson

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
86 KB
Volume
1
Category
Article
ISSN
1386-9477

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✦ Synopsis

We show that in a ring-shaped Luttinger liquid (LL), weakly connected to an electron reservoir and capacitively coupled to a gate electrode, both the average ring charge Q and the persistent current I are step-like functions of the gate voltage at low temperatures. The step positions are determined by the LL parameter = v F=s, which therefore can be measured. An additional measurement of the temperature dependence of Q or I gives a possibility to check the prediction of Luttinger liquid theory.

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Luttinger liquid approach to non-dissipative Coulomb drag: Persistent currents in coupled mesoscopic rings
✍ T.V. Shahbazyan; S.E. Ulloa 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 67 KB

We develop a Luttinger liquid theory of the Coulomb drag of persistent currents owing in concentric mesoscopic rings by incorporating nonlinear corrections to the electron dispersion relation. We demonstrate that at low temperatures, interactions between electrons in di erent rings generate an addit