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The transmission phase across a quantum dot (QD) is expected to show mesoscopic behavior, where the appearance of a phase lapse between Coulomb peaks (CPs) as a function of the gate voltage depends on the orbital parity relation between the…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 S. Takada , M. Yamamoto , C. Bäuerle , A. Ludwig , A. D. Wieck , S. Tarucha

We show that the observed evolution of the transmission phase through multi-electron quantum dots with more than approximately ten electrons, which shows a universal (i.e., independent of N) as yet unexplained behavior, is consistent with…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Andrea Bertoni , Guido Goldoni

The electron wave function experiences a phase modification at coherent transmission through a quantum dot. This transmission phase undergoes a characteristic shift of $\pi$ when scanning through a Coulomb-blockade resonance. Between…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 H. Edlbauer , S. Takada , G. Roussely , M. Yamamoto , S. Tarucha , A. Ludwig , A. D. Wieck , T. Meunier , C. Bäuerle

Lapses of transmission phase in transport through quantum dots are ubiquitous already in the absence of interaction, in which case their precise location is determined by the signs and magnitudes of the tunnelling matrix elements. However,…

Strongly Correlated Electrons · Physics 2007-05-23 D. I. Golosov , Yuval Gefen

We investigate the appearance of pi lapses in the transmission phase theta of a two-level quantum dot with Coulomb interaction U. Using the numerical and functional renormalization group methods we study the entire parameter space for…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Karrasch , T. Hecht , A. Weichselbaum , J. von Delft , Y. Oreg , V. Meden

Measuring phase in coherent electron systems (mesoscopic systems) provides ample information not easily revealed by conductance measurements. Phase measurements in relatively large quantum dots (QDs) recently demonstrated a universal like…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Avinun-Kalish , M. Heiblum , O. Zarchin , D. Mahalu , V. Umansky

We investigate the effect of electronic correlations on the transmission phase of quantum coherent scatterers, considering quantum dots in the Coulomb blockade regime connected to two single-channel leads. We focus on transmission zeros and…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Rafael A. Molina , Peter Schmitteckert , Dietmar Weinmann , Rodolfo A. Jalabert , Philippe Jacquod

The phase of the transmission amplitude through a mesoscopic system contains information about the system's quantum mechanical state and excitations thereof. In the absence of an external magnetic field, abrupt phase lapses occur between…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Yehuda Dinaii , Yuval Gefen , Bernd Rosenow

The transmission probability and phase through a few-electron quantum dot are studied within a resonance theory for the strong coupling regime to the conducting leads. We find that the interaction between overlapping resonances leads to…

Mesoscale and Nanoscale Physics · Physics 2011-05-09 E. R. Racec

Experimentally, the phase of the amplitude for electron transmission through a quantum dot (transmission phase) shows the same pattern between consecutive resonances. Such universal behavior, found for long sequences of resonances, is…

Chaotic Dynamics · Physics 2014-05-26 Rodolfo A. Jalabert , Guillaume Weick , Hans A. Weidenmüller , Dietmar Weinmann

This is a review of the phase coherent transmission through interacting mesoscopic conductors. As a paradigm we study the transmission amplitude and the dephasing rate for electron transport through a quantum dot in the Coulomb blockade…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Hackenbroich

Measurements of the transmission phase in transport through a quantum dot embedded in an Aharonov-Bohm interferometer show systematic sequences of phase lapses separated by Coulomb peaks. Using a two-level quantum dot as an example we show…

Strongly Correlated Electrons · Physics 2008-11-26 D. I. Golosov , Yuval Gefen

We investigate scattering through chaotic ballistic quantum dots in the Coulomb blockade regime. Focusing on the scattering phase, we show that large universal sequences emerge in the short wavelength limit, where phase lapses of $\pi$…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 Rafael A. Molina , Rodolfo A. Jalabert , Dietmar Weinmann , Philippe Jacquod

The magnitude and phase of the transmission amplitude of a multi-level quantum dot is calculated for the mesoscopic regime of level spacing large compared to level width. The interplay between Kondo correlations and the influence by…

Strongly Correlated Electrons · Physics 2013-05-29 Theresa Hecht , Andreas Weichselbaum , Yuval Oreg , Jan von Delft

The transmission phase through a quantum dot with few electrons shows a complex, non-universal behavior. Here we combine configuration-interaction calculations ---treating rigorously Coulomb interaction--- and the Friedel sum rule to…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 Massimo Rontani

Motivated by a recent experiment by Yacoby et al.\ [preprint, 1994], we calculate magnitude and phase $\alpha$ of the transmission amplitude through a quantum dot. We work in the Coulomb blockade regime, assume the electrons not to…

Condensed Matter · Physics 2016-08-31 G. Hackenbroich , H. A. Weidenmueller

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Yuval Gefen

For a quantum dot (QD) in the intermediate regime between integrable and fully chaotic, the widths of single-particle levels naturally differ by orders of magnitude. In particular, the width of one strongly coupled level may be larger than…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , Y. Imry

Interacting electrons in quantum dots with large Thouless number $g$ in the three classical random matrix symmetry classes are well-understood. When a specific type of spin-orbit coupling known to be dominant in two dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ganpathy Murthy

We present experimental results and a model to solve the problem of "in-phase Coulomb peaks" observed in transport through a quantum dot. In a marginal region between Coulomb-blockade and open-dot, we have observed Fano-type interference…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hisashi Aikawa , Kensuke Kobayashi , Akira Sano , Shingo Katsumoto , Yasuhiro Iye
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