Electrometric Sensitivity of the Single Electron Transistor

Krech, W.; Hädicke, A.; Müller, H. J.

doi:10.1142/s0217979292001638

Cited by 17 publications

(18 citation statements)

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“…The investigations of shot noise in SNS and NSN systems in the Coulomb blockade regime were pioneered by Krech and Müller [297]. They use the same master equation technique as in their previous works [290,291], and arrive at the same unphysical result that the shot noise is always suppressed for high frequencies down to zero.…”

Section: A Coulomb Blockadementioning

confidence: 99%

Shot noise in mesoscopic conductors

2000

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Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric conductors. Shot noise is a consequence of the quantization of charge. It can be used to obtain information on a system which is not available through conductance measurements. In particular, shot noise experiments can determine the charge and statistics of the quasiparticles relevant for transport, and reveal information on the potential profile and internal energy scales of mesoscopic systems. Shot noise is generally more sensitive to the effects of electron-electron interactions than the average conductance. We present a discussion based on the conceptually transparent scattering approach and on the classical Langevin and BoltzmannLangevin methods; in addition a discussion of results which cannot be obtained by these methods is provided. We conclude the review by pointing out a number of unsolved problems and an outlook on the likely future development of the field.

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Section: A Coulomb Blockadementioning

confidence: 99%

Shot noise in mesoscopic conductors

2000

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“…Historically, the nonequilibrium current fluctuations (shot noise) were initially considered as a serious problem for device applications of quantum dots [3][4][5] rather than as a fundamental physical phenomenon. Later it became clear that shot noise is an interesting phenomenon in itself, 6 because it contains additional information about correlations, which is not contained, e.g., in the linear response conductance and can be used as a further approach to study transport in quantum dots, both theoretically 4,5,[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and experimentally. 23 Similarly, the majority of papers on the noise of quantum dots consider the sequential (single-electron) tunneling regime, where a classical description (the so-called "orthodox" theory) is applicable.…”

Section: Introductionmentioning

confidence: 99%

Noise of a quantum dot system in the cotunneling regime

2001

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We study the noise of the cotunneling current through one or several tunnel-coupled quantum dots in the Coulomb blockade regime. The various regimes of weak and strong, elastic and inelastic cotunneling are analyzed for quantum-dot systems (QDS) with few-level, nearly-degenerate, and continuous electronic spectra. We find that in contrast to sequential tunneling where the noise is either Poissonian (due to uncorrelated tunneling events) or sub-Poissonian (suppressed by charge conservation on the QDS), the noise in inelastic cotunneling can be super-Poissonian due to switching between QDS states carrying currents of different strengths. In the case of weak cotunneling we prove a non-equilibrium fluctuation-dissipation theorem which leads to a universal expression for the noise-to-current ratio (Fano factor). In order to investigate strong cotunneling we develop a microscopic theory of cotunneling based on the density-operator formalism and using the projection operator technique. The master equation for the QDS and the expressions for current and noise in cotunneling in terms of the stationary state of the QDS are derived and applied to QDS with a nearly degenerate and continuous spectrum.

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“…This is a special property of the symmetric transistor (cf. [25,261). The limit A4 -+ 2 is reached in the case of extremely asymmetric junction capacitances.…”

Section: Noise Power Spectrummentioning

confidence: 99%

“…where Ci is the intrinsic capacity of the external charge source [25,291. Making use of the functions P (see ll), (25) can be written in the form:…”

Section: Charge Resolutionmentioning

confidence: 99%

Fluctuation properties and charge resolution of the superconducting SET electrometer in the regime of cooper‐pair tunneling

Hädicke

Krech

1996

Physica Status Solidi (b)

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Single-charge tunneling through a voltage-biased SSS transistor with a capacitively coupled gate and an electromagnetic environment is considered. The dc Cooper-pair current in the blockade region of quasiparticle tunneling is studied. Basing on a two-level approximation, which can be used in the realistic case of low temperatures and small environment resistances, the mean dc Cooperpair current, the noise power spectrum, and the charge resolution are calculated as functions of the driving voltage and the external charge on the island.') Max-Wien-Platz 1, D-07743 Jena, Federal Republic of Germany. 33*

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Electrometric Sensitivity of the Single Electron Transistor

Cited by 17 publications

References 0 publications

Shot noise in mesoscopic conductors

Shot noise in mesoscopic conductors

Noise of a quantum dot system in the cotunneling regime

Fluctuation properties and charge resolution of the superconducting SET electrometer in the regime of cooper‐pair tunneling

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