Quantum Electric Circuits Analogous to Ballistic Conductors

Details Quantum Electric Circuits Analogous to Ballistic Conductors Quantum Electric Circuits Analogous to Ballistic Conductors

2007-08-09

arxiv.org/abs/0708.1332v2

Physics

Quantum Physics

14 pages

Scientific paper

10.1063/1.2907978

The conductance steps in a constricted two-dimensional electron gas and the minimum conductivity in graphene are related to a new uncertainty relation between electric charge and conductance in a quantized electric circuit that mimics the electric transport in mesoscopic systems. This uncertainty relation makes specific use of the discreteness of electric charge. Quantum electric circuits analogous to both constricted two-dimensional electron gas and graphene are introduced. In the latter case a new insight into the origin of minimum conductivity is obtained.

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