# Shot noise in systems with semi-Dirac points

## Abstract

We calculate the ballistic conductance and shot noise of electrons through a two-dimensional stripe system (width W ≫ length L) with semi-Dirac band-touching points. We find that the ratio between zero-temperature noise power and mean current (the Fano factor) is highly anisotropic. When the transport is along the linear-dispersion direction and the Fermi energy is fixed at the semi-Dirac point, the Fano factor has a universal value F = 0.179 while a minimum conductivity exists and scales with L{sup 1∕2}. Along the parabolic dispersion direction, the Fano factor at the semi-Dirac point has a contact-independent limit exceeding 0.9, which varies weakly with L due to the common-path interference of evanescent waves. Our findings suggest a way to discern the type of band-touching points.

- Authors:

- Center of Statistical and Theoretical Condensed Matter Physics and Department of Physics, Zhejiang Normal University, Jinhua 321004 (China)

- Publication Date:

- OSTI Identifier:
- 22314600

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Applied Physics; Journal Volume: 116; Journal Issue: 6; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CURRENTS; DISPERSION RELATIONS; ELECTRONS; FANO FACTOR; INTERFERENCE; LENGTH; QUANTUM STATES; TEMPERATURE NOISE; TEMPERATURE ZERO K

### Citation Formats

```
Zhai, Feng, and Wang, Juan.
```*Shot noise in systems with semi-Dirac points*. United States: N. p., 2014.
Web. doi:10.1063/1.4892843.

```
Zhai, Feng, & Wang, Juan.
```*Shot noise in systems with semi-Dirac points*. United States. doi:10.1063/1.4892843.

```
Zhai, Feng, and Wang, Juan. Thu .
"Shot noise in systems with semi-Dirac points". United States.
doi:10.1063/1.4892843.
```

```
@article{osti_22314600,
```

title = {Shot noise in systems with semi-Dirac points},

author = {Zhai, Feng and Wang, Juan},

abstractNote = {We calculate the ballistic conductance and shot noise of electrons through a two-dimensional stripe system (width W ≫ length L) with semi-Dirac band-touching points. We find that the ratio between zero-temperature noise power and mean current (the Fano factor) is highly anisotropic. When the transport is along the linear-dispersion direction and the Fermi energy is fixed at the semi-Dirac point, the Fano factor has a universal value F = 0.179 while a minimum conductivity exists and scales with L{sup 1∕2}. Along the parabolic dispersion direction, the Fano factor at the semi-Dirac point has a contact-independent limit exceeding 0.9, which varies weakly with L due to the common-path interference of evanescent waves. Our findings suggest a way to discern the type of band-touching points.},

doi = {10.1063/1.4892843},

journal = {Journal of Applied Physics},

number = 6,

volume = 116,

place = {United States},

year = {Thu Aug 14 00:00:00 EDT 2014},

month = {Thu Aug 14 00:00:00 EDT 2014}

}