Ballistic and adiabatic electron transport in 1 and 2 dimensions

Ballistic and adiabatic electron transport in 1 and 2 dimensions

Physica B 169 (1991) North-Holland 355 Ballistic and adiabatic electron transport in 1 and 2 dimensions C.W.J. Beenakker Philips Research The pl...

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Physica B 169 (1991) North-Holland

355

Ballistic and adiabatic electron transport

in 1 and 2 dimensions

C.W.J. Beenakker Philips

Research

The plenary

Laborutories,

talk was given

5600 JA Eindhoven.

The Netherlands

by the author.

Abstract An overview is given of the work of the PhilipsiDelft collaboration on low-temperature electrical conduction through nanostructures in a two-dimensional electron gas, with an emphasis on the present theoretical understanding of the phenomena observed. The central vehicle for the investigation is the quantum point contact, which is a constriction of variable width comparable to the Fermi wavelength. Two transport regimes are distinguished: Ballistic transport at zero or weak magnetic fields, and adiabatic transport in strong magnetic fields. Major topics are: (i) conductance quantisation; (ii) coherent electron focusing; (iii) electron beam collimation; (iv) electron billiards; (v) edge channels in the integer and fractional quantum Hall effect.