Quantum open-systems approach to current noise in resonant tunneling junctions

Sun, He-Bi; Milburn, G. J.

doi:10.1103/physrevb.59.10748

Cited by 63 publications

(36 citation statements)

References 22 publications

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“…The details of how the quantum stochastic processes in the readout dot determine the average current though the readout dot are given in Ref. 12. The link with the stochastic formalism of Sec.…”

Section: Average Steady-state Propertiesmentioning

confidence: 99%

Quantum measurement of coherent tunneling between quantum dots

Wiseman

Utami²,

Sun³

et al. 2001

Phys. Rev. B

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We describe the conditional and unconditional dynamics of two coupled quantum dots when one dot is subjected to a measurement of its occupation number by coupling it to a third readout dot via the Coulomb interaction. The readout dot is coupled to source and drain leads under weak bias, and a tunnel current flows through a single bound state when energetically allowed. The occupation of the quantum dot near the readout dot shifts the bound state of the readout dot from a low conducting state to a high conducting state. The measurement is made by continuously monitoring the tunnel current through the readout dot. We show that there is a difference between the time scale for the measurement-induced decoherence between the localized states of the dots, and the time scale on which the system becomes localized due to the measurement.

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Section: Average Steady-state Propertiesmentioning

confidence: 99%

Quantum measurement of coherent tunneling between quantum dots

Wiseman

Utami²,

Sun³

et al. 2001

Phys. Rev. B

Self Cite

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“…The second part represents the coupling to the leads, which can be derived fromĤ lead−dot using either Greens functions 9,22 or second order perturbation theory on the density operator 25 ,…”

Section: Modelmentioning

confidence: 99%

“…Our approach is based on a master equation for the transport through the dots combined with the quantum regression theorem 23 to calculate the shot noise in the manner originally developed in Refs. 24,25 .…”

mentioning

confidence: 99%

Analysis of current and shot noise correlations in a double quantum dot interferometer with interdot spin interactions

et al. 2011

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We examine an electron Aharonov-Bohm (AB) interferometer with individual quantum dots connected in parallel to macroscopic leads. Here, we focus on the effect that both inter-dot spin-spin exchange interactions and intra-dot spin flips have on the current and frequency dependent current shot noise. By appropriate control of AB magnetic flux, inter-dot Coulomb repulsion, intra-dot spin flips, and inter-dot spin-spin coupling, the probability amplitudes for the different paths of the interferometer can be controlled leading to broad tunability of both the shape and contrast of interference fringes in the current. We also show that in the shot noise at finite frequencies corresponding to the spin-spin interaction energies the noise shows pronounced super-Poissonian and sub-Poissonian structure. AB flux, which is not an integer multiple of 2π, dramatically suppresses the correlations in the shot noise.

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“…9 Given the barrier thickness of our samples, it is appropriate to see the tunneling process as sequential, a regime in which quantum and semi-classical models give the same answer. 10 The results of our calculations are summarized in Fig.4, where in a simulated three-dimensional plot we represent the Fano factor as a function of the ratios T 2 /T 1 and T 3 /T 1 (T i is the transmission probability through the i-th barrier, considered individually). If the tunneling probability through the emitter and collector barriers is the same, that is, T 3 = T 1 , and the central barrier is not thicker than either of the two end barriers (T 2 ≥ T 1 ) then, according to Fig.4, the minimum Fano factor should range between 0.41 (when T 2 =T 1 ) and 0.5 (when T 2 ≫ T 1 , that is, in the DBRT limit).…”

mentioning

confidence: 99%

“…10,11,12 A Triple Barrier Resonant Tunneling Diode (TBRTD) is in principle more suitable than a DBRTD to study the effect of coherence on noise since in the TBRTD the coupling between its two wells can be varied by adjusting the thickness of the middle barrier, while maintaining the low current necessary for noise measurements with thick end barriers.…”

mentioning

confidence: 99%

Shot-noise characteristics of triple-barrier resonant-tunneling diodes

et al. 2005

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We have found experimentally that the shot noise in InAlAs-InGaAs-InAlAs Triple-Barrier Resonant-Tunneling Diodes (TBRTD) is reduced over the 2eI Poissonian value whenever their differential conductance is positive, and is enhanced over 2eI when the differential conductance is negative. This behavior, although qualitatively similar to that found in double-barrier diodes, differs from it in important details. In TBRTDs the noise reduction is considerably larger than predicted by a semi-classical model, and the enhancement does not correlate with the strength of the negative differential conductance. These results suggest an incomplete understanding of the noise properties of multiple-barrier heterostructures.

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Quantum open-systems approach to current noise in resonant tunneling junctions

Cited by 63 publications

References 22 publications

Quantum measurement of coherent tunneling between quantum dots

Quantum measurement of coherent tunneling between quantum dots

Analysis of current and shot noise correlations in a double quantum dot interferometer with interdot spin interactions

Shot-noise characteristics of triple-barrier resonant-tunneling diodes

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