Dresden 2006 – scientific programme
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TT: Tiefe Temperaturen
TT 4: Correlated Electrons: Quantum Impurities, Kondo Physics
TT 4.3: Talk
Monday, March 27, 2006, 11:45–12:00, HSZ 301
Transmission phase through a two-level quantum dot — •Theresa Hecht1, Yuval Oreg2, and Jan von Delft1 — 1Department für Physik, CeNS and Arnold Sommerfeld Center, Ludwig-Maximilians Universität München, Germany — 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, Israel
The recent measurements of Schuster et al. [1] of the transmission phase through a quantum dot embedded in one arm of an Aharonov Bohm interferometer contradict the simple models that were used to describe the phase evolution so far, see e.g. [2]. Inspired by this experiment, we study the transmission phase of a quantum dot embedded in one arm of a two path electron interferometer. Following [3], where it was shown that in a two-level quantum dot the generic and experimentally realistic condition Γupper≠Γlower always leads to an occupation inversion, nupper>nlower, we study a two-level Anderson model by means of Wilson’s numerical renormalization group method. Relating the scattering phase and the occupation of the levels at T=0 using the Friedel sum rule, we can explain that for Γupper≠Γlower, the transmission always experiences a phase lapse of π as a function of gate voltage, independent of the parameters of the quantum dot or the parity of the levels. We investigate both the temperature and magnetic field dependence of the transmission amplitude through the dot.
[1] R. Schuster, E. Buks, M. Heiblum, D. Mahalu, V. Umansky, H. Shtrikman, Nature 385, 417 (1997).
[2] U. Gerland et al., Phys.Rev.Lett. 84, 3710 (2000).
[3] M. Sindel, A. Silva, Y. Oreg, J.von Delft, PRB 72, 125316 (2005).