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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 analyze the current and zero-frequency current noise properties of a superconducting single electron resonator (SSET) coupled to a resonator, focusing on the regime where the SSET is operated in the vicinity of the Josephson…

Mesoscale and Nanoscale Physics · Physics 2008-07-21 T. J. Harvey , D. A. Rodrigues , A. D. Armour

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

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

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 noise properties of a superconducting single electron transistor (SSET) coupled to an harmonically driven resonator. Using a Langevin equation approach, we calculate the frequency spectrum of the SSET charge and calculate…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Rodrigues , G. J. Milburn

We consider a model of a quantum-mechanical resonator capacitively coupled to a single electron transistor (SET). The tunnel current in the SET is modulated by the vibrations of the resonator, and thus the system operates as a displacement…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. Mozyrsky , I. Martin , M. B. Hastings

The operation of resistively-coupled single-electron transistor (R-SET) is studied quantitatively. Due to the Nyquist noise of the coupling resistance, degradation of the R-SET performance is considerable at temperatures $T$ as small as…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. N. Korotkov

We consider a single-electron transistor (SET) whose central island is a nanomechanical oscillator. The gate capacitance of the SET depends on the mechanical displacement, thus, the vibrations of the island vibrations may strongly influence…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 N. M. Chtchelkatchev , W. Belzig , C. Bruder

We consider a nanomechanical resonator coupled to a double quantum dot. We demonstrate how the finite-frequency current noise spectrum through the double quantum dot can be used to distinguish classical and quantum behaviour in the nearby…

Quantum Physics · Physics 2009-11-13 Neill Lambert , Franco Nori

We analyze the charge dynamics of a superconducting single-electron transistor (SSET) in the regime where charge transport occurs via Cooper-pair resonances. Using an approximate description of the system Hamiltonian, in terms of a series…

Mesoscale and Nanoscale Physics · Physics 2010-08-26 P. G. Kirton , M. Houzet , F. Pistolesi , A. D. Armour

A nanomechanical resonator coupled to a tunnel junction is studied. The oscillator modulates the transmission of the junction, changing the current and the noise spectrum. The influence of the oscillator on the noise spectrum of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Wabnig , J. Rammer , A. L. Shelankov

We analyse the quantum dynamics of a nanomechanical resonator coupled to a normal-state single-electron transistor (SET). Starting from a microscopic description of the system, we derive a master equation for the SET island charge and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Denzil Rodrigues , Andrew Armour

We present a method for calculating the full current noise spectrum for the class of nano-electromechanical systems (NEMS) that can be described by a Markovian generalized master equation. As a specific example we apply the method to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

Single-electron tunneling processes through a double quantum dot can induce a lasing state in an electromagnetic resonator which is coupled coherently to the dot system. Here we study the noise properties of the transport current in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jinshuang Jin , Michael Marthaler , Pei-Qing Jin , Dmitry Golubev , Gerd Schön

We have systematically measured the shot noise in a single electron transistor (SET) as a function of bias and gate voltages. By embedding a SET in a resonance circuit we have been able to measure its shot noise at the resonance frequency…

Mesoscale and Nanoscale Physics · Physics 2011-03-11 Sergey Kafanov , Per Delsing

We have suspended an Al based single-electron transistor whose island can resonate freely between the source and drain leads forming the clamps. In addition to the regular side gate, a bottom gate with a larger capacitance to the SET island…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Yu. A. Pashkin , T. F. Li , J. P. Pekola , O. Astafiev , D. A. Knyazev , F. Hoehne , H. Im , Y. Nakamura , J. S. Tsai

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

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

Measurements of the temperature and bias dependence of Single Electron Transistors (SETs) in a dilution refrigerator show that charge noise increases linearly with refrigerator temperature above a voltage-dependent threshold temperature,…

Mesoscale and Nanoscale Physics · Physics 2014-06-10 Martin V. Gustafsson , Arsalan Pourkabirian , Göran Johansson , John Clarke , Per Delsing
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