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Geometric phases of scattering states in a ring geometry: adiabatic pumping in mesoscopic devices | | Huan-Qiang Zhou
; Urban Lundin
; Sam Young Cho
; | | Date: |
18 Feb 2005 | | Journal: | J. Phys. Cond. Mat. 17, 1059-1066 (2005) DOI: 10.1088/0953-8984/17/7/001 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Abstract: | Geometric 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. | | Source: | arXiv, cond-mat/0502443 | | Services: | Forum | Review | PDF | Favorites | |
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