# Study of ultrasonic attenuation in f-electron systems in the paramagnetic limit of Coulomb interaction

## Abstract

We report here a microscopic model study of ultrasonic attenuation in f-electron systems based on Periodic Anderson Model in which Coulomb interaction is considered within a mean-field approximation for a weak interaction. The Phonon is coupled to the conduction band and f-electrons. The phonon Green's function is calculated by Zubarev's technique of the Green's function method. The temperature dependent ultrasonic attenuation co-efficient is calculated from the imaginary part of the phonon self-energy in the dynamic and long wave length limit. The f-electron occupation number is calculated self-consistently in paramagnetic limit of Coulomb interaction. The effect of the Coulomb interaction on ultrasonic attenuation is studied by varying the phonon coupling parameters to the conduction and f-electrons, hybridization strength, the position of f-level and the Coulomb interaction Strength. Results are discussed on the basis of experimental results.

- Authors:

- RamajeeMahavidyalaya, Bhismagiri-761055, Odisha,India (India)
- School of Applied Sciences (Physics), KIIT University, Bbhubaneswar-751024, Odisha (India)

- Publication Date:

- OSTI Identifier:
- 22391773

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1661; Journal Issue: 1; Conference: ICCMP 2014: International Conference on Condensed Matter Physics 2014, Shimla (India), 4-6 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; ATTENUATION; BAND THEORY; COULOMB FIELD; COUPLING; ELECTRIC CONDUCTIVITY; ELECTRONS; GREEN FUNCTION; MEAN-FIELD THEORY; OCCUPATION NUMBER; PARAMAGNETISM; PERIODICITY; PHONONS; SELF-ENERGY; TEMPERATURE DEPENDENCE; ULTRASONIC WAVES

### Citation Formats

```
Shadangi, Asit Ku., E-mail: asitshad@iopb.res.in, and Rout, G. C., E-mail: gcr@iopb.res.in.
```*Study of ultrasonic attenuation in f-electron systems in the paramagnetic limit of Coulomb interaction*. United States: N. p., 2015.
Web. doi:10.1063/1.4915463.

```
Shadangi, Asit Ku., E-mail: asitshad@iopb.res.in, & Rout, G. C., E-mail: gcr@iopb.res.in.
```*Study of ultrasonic attenuation in f-electron systems in the paramagnetic limit of Coulomb interaction*. United States. doi:10.1063/1.4915463.

```
Shadangi, Asit Ku., E-mail: asitshad@iopb.res.in, and Rout, G. C., E-mail: gcr@iopb.res.in. Fri .
"Study of ultrasonic attenuation in f-electron systems in the paramagnetic limit of Coulomb interaction". United States. doi:10.1063/1.4915463.
```

```
@article{osti_22391773,
```

title = {Study of ultrasonic attenuation in f-electron systems in the paramagnetic limit of Coulomb interaction},

author = {Shadangi, Asit Ku., E-mail: asitshad@iopb.res.in and Rout, G. C., E-mail: gcr@iopb.res.in},

abstractNote = {We report here a microscopic model study of ultrasonic attenuation in f-electron systems based on Periodic Anderson Model in which Coulomb interaction is considered within a mean-field approximation for a weak interaction. The Phonon is coupled to the conduction band and f-electrons. The phonon Green's function is calculated by Zubarev's technique of the Green's function method. The temperature dependent ultrasonic attenuation co-efficient is calculated from the imaginary part of the phonon self-energy in the dynamic and long wave length limit. The f-electron occupation number is calculated self-consistently in paramagnetic limit of Coulomb interaction. The effect of the Coulomb interaction on ultrasonic attenuation is studied by varying the phonon coupling parameters to the conduction and f-electrons, hybridization strength, the position of f-level and the Coulomb interaction Strength. Results are discussed on the basis of experimental results.},

doi = {10.1063/1.4915463},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1661,

place = {United States},

year = {2015},

month = {5}

}