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The European Physical Journal BISSN: 1434-6028 (printed version) Abstract Volume 5 Issue 4 (1998) pp 913-917 Phase behavior of coherent tunneling through a quantum dot: A consideration of the off-diagonal elastic coupling
Q. Sun (1), T. Lin (1)(2) (a)
(1) Department of Physics, Peking University, Beijing 100871, P.R. China Received: 12 February 1998 / Revised: 28 May 1998 / Accepted: 29 May 1998 Abstract: The electron transmission amplitude through a quantum dot is studied by considering all elastic coupling elements, not only the diagonal elements $\Gamma_{jj}$,but also the off-diagonal elements $\Gamma_{ij}$.The Breit-Winger formula is extended to multiple states under the above consideration. The phase of the transmission amplitude exhibits a gradual increase by $\pi$ along a resonance peak and an abrupt phase drop by $\pi$ near the center between two consecutive resonance peaks which can be explained completely in a single-electron picture. When the temperature ${\cal T}=0$ the phase drop is absolutely abrupt; when ${\cal T}\not=0$ the phase drop is on a energy scale much smaller than both $\Gamma_{jj}$ and $k_B{\cal T}$.In addition, at the phase-drop-point, some interesting manifestations are predicted.
PACS. 73.40.Gk Tunneling[:AND:] 85.30.Vw Low-dimensional quantum devices (quantum dots, quantum wires etc.) - 73.20.Dx Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
(a) email: thlin@sun.ihep.ac.cn Article in PDF format (390 KB) Online publication: October 29, 1998 |