Transient probing of the symmetry and the asymmetry of electron interference

Matisse Wei Yuan Tu, Amnon Aharony, Ora Entin-Wohlman, Avraham Schiller, Wei Min Zhang

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13 Scopus citations


The transient processes of electron transport in nano-scale devices exhibit special phenomena that exist only in the transient regime. Besides how fast the steady states are approached, one interesting aspect of transient transport arises from its strong dependence on the initial state of the system. Here we address the issue of how the symmetries embedded in the initial state interplay with those of the system structure in the course of transient transports. We explicitly explore the transient currents arising from various initial occupations in a double-quantum-dot Aharonov-Bohm interferometer. We find symmetry relations between the transient in-tunneling and out-tunneling dynamics for initially empty or full quantum dots when the energy levels in the electrodes are symmetrically distributed with respect to the energy levels in the quantum dots. This is true for whatever applied fluxes. We also find the flux-even components of the currents and the flux-odd components of the currents exhibit distinct cross-lead symmetric relations.

Original languageEnglish
Article number125437
JournalPhysical Review B
Issue number12
StatePublished - 30 Mar 2016


FundersFunder number
National Center for Theoretical Science of Taiwan
Ministry of Education
Ministry of Science and TechnologyNSC-102-2112-M-006-016-MY3
Israel Science Foundation
Ministry of Science and Technology, Israel3-11173
National Cheng Kung University


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