# Full counting statistics of transport electrons through a two-level quantum dot with spin–orbit coupling

## Abstract

We study the full counting statistics of transport electrons through a semiconductor two-level quantum dot with Rashba spin–orbit (SO) coupling, which acts as a nonabelian gauge field and thus induces the electron transition between two levels along with the spin flip. By means of the quantum master equation approach, shot noise and skewness are obtained at finite temperature with two-body Coulomb interaction. We particularly demonstrate the crucial effect of SO coupling on the super-Poissonian fluctuation of transport electrons, in terms of which the SO coupling can be probed by the zero-frequency cumulants. While the charge currents are not sensitive to the SO coupling.

- Authors:

- Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006 (China)
- College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024 (China)

- Publication Date:

- OSTI Identifier:
- 22447587

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 353; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMMETRY; ELECTRONS; L-S COUPLING; QUANTUM DOTS; SEMICONDUCTOR MATERIALS; SPIN FLIP; STATISTICS

### Citation Formats

```
Wang, Z.M., Xue, H.B., Xue, N.T., and Liang, J.-Q., E-mail: jqliang@sxu.edu.cn.
```*Full counting statistics of transport electrons through a two-level quantum dot with spin–orbit coupling*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2014.10.015.

```
Wang, Z.M., Xue, H.B., Xue, N.T., & Liang, J.-Q., E-mail: jqliang@sxu.edu.cn.
```*Full counting statistics of transport electrons through a two-level quantum dot with spin–orbit coupling*. United States. doi:10.1016/J.AOP.2014.10.015.

```
Wang, Z.M., Xue, H.B., Xue, N.T., and Liang, J.-Q., E-mail: jqliang@sxu.edu.cn. Sun .
"Full counting statistics of transport electrons through a two-level quantum dot with spin–orbit coupling". United States.
doi:10.1016/J.AOP.2014.10.015.
```

```
@article{osti_22447587,
```

title = {Full counting statistics of transport electrons through a two-level quantum dot with spin–orbit coupling},

author = {Wang, Z.M. and Xue, H.B. and Xue, N.T. and Liang, J.-Q., E-mail: jqliang@sxu.edu.cn},

abstractNote = {We study the full counting statistics of transport electrons through a semiconductor two-level quantum dot with Rashba spin–orbit (SO) coupling, which acts as a nonabelian gauge field and thus induces the electron transition between two levels along with the spin flip. By means of the quantum master equation approach, shot noise and skewness are obtained at finite temperature with two-body Coulomb interaction. We particularly demonstrate the crucial effect of SO coupling on the super-Poissonian fluctuation of transport electrons, in terms of which the SO coupling can be probed by the zero-frequency cumulants. While the charge currents are not sensitive to the SO coupling.},

doi = {10.1016/J.AOP.2014.10.015},

journal = {Annals of Physics},

number = ,

volume = 353,

place = {United States},

year = {Sun Feb 15 00:00:00 EST 2015},

month = {Sun Feb 15 00:00:00 EST 2015}

}

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