2005/02/18 by Huan-Qiang Zhou, Urban Lundin, Sam Young Cho
Physics and Astronomy · #cond-mat.mes-hall
paper · pdf · doi:10.1088/0953-8984/17/7/001
published as J. Phys. Cond. Mat. 17, 1059-1066 (2005) · 9 pages, 3 figures
arxiv created 2005/02/18 · arxiv updated 2009/12/01
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.