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The Physics of NanoelectronicsTransport and Fluctuation Phenomena at Low Temperatures$
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Tero T. Heikkilä

Print publication date: 2013

Print ISBN-13: 9780199592449

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199592449.001.0001

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Fluctuations and correlations

Fluctuations and correlations

(p.94) 6 Fluctuations and correlations
The Physics of Nanoelectronics

Tero T. Heikkilä

Oxford University Press

This chapter deals with noise: time-dependent fluctuation of observables at or out of equilibrium. The main emphasis is on current noise. The chapter explains the use of the correlation function, the fluctuation-dissipation theorem, and thermal and vacuum fluctuations. It describes shot noise produced in out-of-equilibrium setups with a simple Schottky model, with the microscopic scattering and Boltzmann-Langevin approaches. The chapter also discusses the Langevin approach of describing coupling of noise in electrical circuits and a related description of noise measurements, and briefly explains the theory for cross correlations. The second part of the chapter discusses effects of noise on quantum systems – energy relaxation and dephasing. The chapter concludes by presenting the theory of full counting statistics and briefly describes heat current noise.

Keywords:   noise, fluctuations, correlations, thermal noise, shot noise, dephasing, relaxation, full counting statistics, quantum fluctuations

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