Transport through a Metallic Quantum Dot in the Limit of Strong Coulomb Interaction

Isawa, Yoshimasa; Horii, Hideto

doi:10.1143/jpsj.69.655

Cited by 5 publications

(13 citation statements)

References 8 publications

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“…the auxiliary source fields as the values given in the subscripts of Eq. (27), and by using Eqs. (29) and (30), we obtain the charge conservation law for correlation functions, Eq.…”

Section: Discussionmentioning

confidence: 99%

“…It is convenient to rewrite Eq. (27) in the form of the linear combination of the tunneling current at the left junction I L and that at the right junction I R as…”

Section: Formally Exact Expressions For Average and Noise And The mentioning

confidence: 99%

“…Hereafter in this subsection, we put the auxiliary source fields as shown in the subscript of Eq. (27). The solutions of differential equations (19) and (20) imposing anti-periodic boundary condition are [35]…”

Section: A Fourier Transformation Of Free Green Functionsmentioning

confidence: 99%

“…It is the widely adopted procedure, which ensures the time translational invariance to describe a stationary state. In order to utilize Wick's theorem for fermions, we employ the mapping of the effective spin-1/2 operator onto two fermion operatorsĉ andd [27,28,33]: σ + =ĉ †φ ,σ z = 2ĉ †ĉ − 1, whereφ =d † +d is a Majorana fermion operator (φ 2 = 1). This representation is called drone-fermion representation [28], becauseφ is a "drone" whose only job is to make spin-1/2 operators of different spins commute, rather than anti-commute [33].…”

Section: A Brief Introduction Of the Keldysh Formalismmentioning

confidence: 99%

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Noise of a single-electron transistor in the regime of large quantum fluctuations of island charge out of equilibrium

et al. 2003

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By using the drone-fermion representation and the Schwinger-Keldysh approach, we calculate the current noise and the charge noise for a single-electron transistor in the non-equilibrium state in the presence of large quantum fluctuation of island charge. Our result interpolates between those of the "orthodox" theory and the "co-tunneling theory". We find the following effects which are not treated by previous theories: (i) At zero temperature T = 0 and at finite applied bias voltage |eV | ≫ TK, where TK is the "Kondo temperature", we find the Fano factor is suppressed more than the suppression caused by Coulomb correlation both in the Coulomb blockade regime and in the sequential tunneling regime. (ii) For T ≫ |eV |/2 ≫ TK, the current noise in the presence of large charge fluctuation is modified and deviates from the prediction of the orthodox theory. However, the Fano factor coincides with that of the orthodox theory and is proportional to the temperature. (iii) For eV, T TK, the charge noise is suppressed due to the renormalization of system parameters caused by quantum fluctuation of charge. We interpret it in terms of the modification of the "unit" for island charge.

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“…the auxiliary source fields as the values given in the subscripts of Eq. (27), and by using Eqs. (29) and (30), we obtain the charge conservation law for correlation functions, Eq.…”

Section: Discussionmentioning

confidence: 99%

“…It is convenient to rewrite Eq. (27) in the form of the linear combination of the tunneling current at the left junction I L and that at the right junction I R as…”

Section: Formally Exact Expressions For Average and Noise And The mentioning

confidence: 99%

Section: A Fourier Transformation Of Free Green Functionsmentioning

confidence: 99%

Section: A Brief Introduction Of the Keldysh Formalismmentioning

confidence: 99%

See 2 more Smart Citations

Noise of a single-electron transistor in the regime of large quantum fluctuations of island charge out of equilibrium

et al. 2003

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“…We employ a mapping of the spin-1/2 operator onto two fermion operators, c and d, [9] and use the Schwinger-Keldysh approach [8,10]. The approximate generating functional is expressed byW = −i ln Tr[G −1 c ], where trace is performed over the time t defined on the closed time-path C which goes from −∞ to ∞, returns along the real axis and closes at −∞ − i β.…”

mentioning

confidence: 99%

The effect of charge fluctuation on a normal–superconducting–normal single-electron transistor

Utsumi¹,

Imamura²,

Hayashi³

et al. 2002

Physica C: Superconductivity

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We theoretically investigate quantum fluctuation of charge between even and odd states of a normalsuperconducting-normal single-electron tunneling transistor. It is shown that due to the superconducting gap, the charge fluctuation in the Coulomb blockade regime for even state is larger than that for odd state. We show that large energy correction in the former regime caused by charge fluctuation can be explained by considering the charging energy renormalization.

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The effect of large quantum fluctuation on the noise of a single-electron transistor

Utsumi

Imamura

Hayashi

et al. 2003

Physica E: Low-dimensional Systems and Nanostructures

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We theoretically investigate the noise of a single-electron transistor in the regime of large quantum fluctuation of charge out of equilibrium. We show that the charge noise is suppressed due to the charge renormalization caused by the quantum fluctuation. However the fluctuation is not strong enough to wash out the charge quantization. We find that the renormalization effect reduces the performance of a single-electron electrometer.

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Transport through a Metallic Quantum Dot in the Limit of Strong Coulomb Interaction

Cited by 5 publications

References 8 publications

Noise of a single-electron transistor in the regime of large quantum fluctuations of island charge out of equilibrium

Noise of a single-electron transistor in the regime of large quantum fluctuations of island charge out of equilibrium

The effect of charge fluctuation on a normal–superconducting–normal single-electron transistor

The effect of large quantum fluctuation on the noise of a single-electron transistor

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