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Quantum Simulation Quantum Chemistry

Quantum Electric Circuits Analogous to Ballistic Conductors

arXiv
Authors: Daniela Dragoman

Year

2007

Paper ID

49410

Status

Preprint

Abstract Read

~2 min

Abstract Words

81

Citations

N/A

Abstract

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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  • 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...

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