Regensburg 2004 – wissenschaftliches Programm
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TT: Tiefe Temperaturen
TT 11: Nanoelektronik I: Quantenpunkte, -dr
ähte, -punktkontakte
TT 11.10: Vortrag
Dienstag, 9. März 2004, 11:45–12:00, H19
Evidence for fractional quasiparticles in the persistent current in clean one-dimensional rings — •Janine Splettstoesser1, Ulrich Zülicke2, and Michele Governale1 — 1Scuola Normale Superiore, Piazza dei Cavalieri 7, I - 56126 Pisa, Italy — 2Institute of Fundamental Sciences, Massey University, Private Bag 11 222, Palmerston North, New Zealand
The presence of electron-electron interaction affects the persistent currents flowing in mesoscopic rings threaded by a magnetic flux. We study an interacting one-dimensional clean ring. It is known that the ground-state of such a one-dimensional conductor is a Luttinger liquid. We derive the zero-mode Hamiltonian for the system, and subsequently the average value of the persistent current. In particular, we find that the persistent current has a universal form as a function of T/T*, Φ/Φ*, where both the temperature scale T* and the flux period Φ* are renormalized by the interaction strength. Certain formal analogies with the noninteracting case suggest that the interaction-dependent flux period can be seen as a manifestation of electron fractionalization in a Luttinger liquid [1].
[1] K. V. Pham, M. Gabay, and P. Lederer, Phys. Rev. B 61, 16397 (2000).