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Single electron transistors (SETs) are very sensitive electrometers and they can be used in a range of applications. In this paper we give an introduction to the SET and present a full quantum mechanical calculation of how noise is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Johansson , P. Delsing , K. Bladh , D. Gunnarsson , T. Duty , A. Käck , G. Wendin , A. Aassime

We investigate the intrinsic noise of a micro-mechanical displacement detector based on the radio-frequency single-electron transistor (rf-SET). Using the noise analysis of a SET by Korotkov as our starting point, we determine the spectral…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yong Zhang , Miles Blencowe

We analyze the noise properties of two single electron transistors (SETs) coupled via a shared voltage gate consisting of a nanomechanical resonator. Working in the regime where the resonator can be treated as a classical system, we find…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Rodrigues , A. D. Armour

We investigate the tunneling shot noise limits on the sensitivity of a micromechanical displacement detector based on a metal junction, radio-frequency single-electron transistor (rf-SET). In contrast with the charge sensitivity of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Miles P. Blencowe , Martin N. Wybourne

A single-electron transistor (SET) can be used as an extremely sensitive charge detector. Mechanical displacements can be converted into charge, and hence, SETs can become sensitive detectors of mechanical oscillations. For studying…

Mesoscale and Nanoscale Physics · Physics 2018-06-21 Jian Li , Jorge Santos , Mika Sillanpaa

Zero-frequency spectral densities of current noise, charge noise, and their cross-correlation are calculated for the SET transistor in the co-tunneling regime. The current noise has a form expected for the uncorrelated co-tunneling events.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Averin

We analyze the response of a nanomechanical resonator to an external drive when it is also coupled to a single-electron transistor (SET). The interaction between the SET electrons and the mechanical resonator depends on the amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2013-04-11 P. G. Kirton , A. D. Armour

The current noise spectrum of a single-electron transistor (SET) coupled to a nano-mechanical resonator is calculated in the classical regime. Correlations between the charge on the SET island and the position of the resonator give rise to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. D. Armour

The quantum conductance of the single-electron tunneling (SET) transistor is investigated in this paper by the functional integral approach. The formalism is valid for arbitrary tunnel resistance of the junctions forming the SET transistor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Xiaohui Wang

Electron transport in nano-scale structures is strongly influenced by the Coulomb interaction which gives rise to correlations in the stream of charges and leaves clear fingerprints in the fluctuations of the electrical current. A complete…

Mesoscale and Nanoscale Physics · Physics 2012-01-11 Niels Ubbelohde , Christian Fricke , Christian Flindt , Frank Hohls , Rolf J. Haug

By using the Schwinger-Keldysh approach, we evaluate the current noise and the charge noise of the single-electron transistor (SET) in the regime of large charge fluctuations caused by large tunneling conductance. Our result interpolates…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Yasuhiro Utsumi , Hiroshi Imamura , Masahiko Hayashi , Hiromichi Ebisawa

We analyze the dynamics of a nano-mechanical resonator coupled to a single-electron transistor (SET) in the regime where the resonator behaves classically. A master equation is derived describing the dynamics of the coupled system which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. D. Armour , M. P. Blencowe , Y. Zhang

We report an experimental observation of the backaction of a Single Electron Transistor (SET) measuring the Coulomb staircase of a single electron box. As current flows through the SET, the charge state of the SET island fluctuates. These…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. A. Turek , K. W. Lehnert , A. Clerk , D. Gunnarsson , K. Bladh , P. Delsing , R. J. Schoelkopf

We have directly measured the quantum noise of a superconducting single-electron transistor (S-SET) embedded in a microwave resonator consisting of a superconducting LC tank circuit. Using an effective bath description, we find that the…

Mesoscale and Nanoscale Physics · Physics 2008-05-08 W. W. Xue , Z. Ji , Feng Pan , Joel Stettenheim , A. J. Rimberg

We calculate the full frequency spectral density of voltage fluctuations in a Single Electron Transistor (SET), used as an electrometer biased above the Coulomb threshold so that the current through the SET is carried by sequential tunnel…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Andreas Kack , Goran Johansson , Goran Wendin

Using a classical equation of motion, dynamics of the phase is analyzed in the Inductive Single-Electron Transistor (L-SET) which is a promising new system suitable for quantum measurement with ultimate sensitivity and low back-action. In a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mika A. Sillanpää , Leif Roschier , Pertti J. Hakonen

We study the quantum charge noise and measurement properties of the double Cooper pair resonance point in a superconducting single-electron transistor (SSET) coupled to a Josephson charge qubit. Using a density matrix approach for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. A. Clerk , S. M. Girvin , A. K. Nguyen , A. D. Stone

We calculate the spectral density of voltage fluctuations in a Single Electron Transistor (SET), biased to operate in a transport mode where tunneling events are correlated due to Coulomb interaction. The whole spectrum from low frequency…

Condensed Matter · Physics 2009-11-07 Goran Johansson , Andreas Kack , Goran Wendin

Quantum mechanics demands that the act of measurement must affect the measured object. When a linear amplifier is used to continuously monitor the position of an object, the Heisenberg uncertainty relationship requires that the object be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Naik , O. Buu , M. D. LaHaye , A. D. Armour , A. A. Clerk , M. P. Blencowe , K. C. Schwab

The shot noise of the current through a single electron transistor (SET), coupled capacitively with an electronic box, is calculated, using the master equation approach. We show that the noise may be sub-Poissonian or strongly…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 V. Hung Nguyen , V. Lien Nguyen
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