Geometric phases of scattering states in a ring geometry: adiabatic pumping in mesoscopic devices

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dc.creatorZhou, Huan-Qiang
dc.creatorLundin, Urban
dc.creatorCho, Sam Young
dc.date2005-02-18
dc.date.accessioned2026-07-07T03:03:48Z
dc.date.available2026-07-07T03:03:48Z
dc.descriptionGeometric phases of scattering states in a ring geometry are studied based on a variant of the adiabatic theorem. Three time scales, i.e., the adiabatic period, the system time and the dwell time, associated with adiabatic scattering in a ring geometry plays a crucial role in determining geometric phases, in contrast to only two time scales, i.e., the adiabatic period and the dwell time, in an open system. We derive a formula connecting the gauge invariant geometric phases acquired by time-reversed scattering states and the circulating (pumping) current. A numerical calculation shows that the effect of the geometric phases is observable in a nanoscale electronic device.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0502443
dc.identifierhttp://arxiv.org/abs/cond-mat/0502443
dc.identifierJ. Phys. Cond. Mat. 17, 1059-1066 (2005)
dc.identifierdoi:10.1088/0953-8984/17/7/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25888
dc.subjectMesoscale and Nanoscale Physics
dc.titleGeometric phases of scattering states in a ring geometry: adiabatic pumping in mesoscopic devices
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