A Theoretical Approach to Tunneling Processes in Quantum Structures

A theoretical framework to build a concrete analysis method for tunneling processes through quantum structures (QSs) is proposed based on Keldysh Green's function. As a result of three steps of transformations, we deduce the general expression for the current flowing through QSs which corresponds to the nonequilibrium and the nonlinear version of the Kubo formula. It is revealed how we can achieve the general formula successfully. It is shown that, in tunneling processes through QSs, both the elastic scattering and the inelastic scattering play an essential role. Our framework is expected to be applicable to various QSs fabricated by metals, semiconductors, superconductors and magnetic materials, since our procedure is not sensitive to details of the Hamiltonian.

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“…3) The Dyson equation for KG defined by the time ordering operator T C along the Keldysh contour C is given by…”

Section: Methods Of Analysis For Tunneling Processesmentioning

confidence: 99%

“…We have already proposed the theoretical framework 3) for electrical transport in QSs in the nonequilibrium state based on Keldysh Green's function.…”

Section: Introductionmentioning

confidence: 99%

Theory of Tunneling Processes in Quantum Structures

Isawa

Horii

2001

Jpn. J. Appl. Phys.

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Microscopic theory of electron cotunneling through quantum dots

Cheng

Sheng

2010

Journal of Applied Physics

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A microscopic theory is presented for electron cotunneling through quantum dots in the Coulomb blockade regime. Beyond the semiclassic framework of phenomenological models, a fully quantum mechanical solution for cotunneling of electrons through a one-dimensional quantum dot is obtained by using a quantum transmitting boundary method without any fitting parameters. Elastic and inelastic cotunneling conductance is calculated as a function of the energy of the incident electron. It is revealed that the cotunneling current contains a significant term proportional to V2 (V being the bias voltage) in additional to the well-known V3 term. The result also indicates that the cotunneling conductance exhibits little dependence on the spin configuration of the incident and confined electrons.

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Co-tunneling Current through a Single Quantum Dot

Isawa

Horii

2000

J. Phys. Soc. Jpn.

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A Theoretical Approach to Tunneling Processes in Quantum Structures

Cited by 4 publications

References 6 publications

Theory of Tunneling Processes in Quantum Structures

Theory of Tunneling Processes in Quantum Structures

Microscopic theory of electron cotunneling through quantum dots

Co-tunneling Current through a Single Quantum Dot

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