TY - JOUR

T1 - Broken Unitarity and Phase Measurements in Aharonov-Bohm Interferometers

AU - Entin-Wohlman, O.

AU - Aharony, A.

AU - Imry, Y.

AU - Levinson, Y.

AU - Schiller, A.

PY - 2002

Y1 - 2002

N2 - Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance which contains a term [Formula presented], where [Formula presented] relates to the magnetic flux. Experiments with a quantum dot on one of the interfering paths aim to relate [Formula presented] to the dot’s intrinsic Friedel transmission phase [Formula presented]. For closed systems, which conserve the electron current (unitarity), the Onsager relation requires that [Formula presented] or [Formula presented]. For open systems, we show that in general [Formula presented] depends on the details of the broken unitarity. Although it gives information on the resonances of the dot, [Formula presented] is generally not equal to [Formula presented]. A direct relation between [Formula presented] and [Formula presented] requires specific ways of opening the system, which are discussed.

AB - Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance which contains a term [Formula presented], where [Formula presented] relates to the magnetic flux. Experiments with a quantum dot on one of the interfering paths aim to relate [Formula presented] to the dot’s intrinsic Friedel transmission phase [Formula presented]. For closed systems, which conserve the electron current (unitarity), the Onsager relation requires that [Formula presented] or [Formula presented]. For open systems, we show that in general [Formula presented] depends on the details of the broken unitarity. Although it gives information on the resonances of the dot, [Formula presented] is generally not equal to [Formula presented]. A direct relation between [Formula presented] and [Formula presented] requires specific ways of opening the system, which are discussed.

UR - http://www.scopus.com/inward/record.url?scp=84907379284&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.88.166801

DO - 10.1103/PhysRevLett.88.166801

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AN - SCOPUS:84907379284

SN - 0031-9007

VL - 88

SP - 4

JO - Physical Review Letters

JF - Physical Review Letters

IS - 16

ER -