**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32007

##### Influence of Confined Acoustic Phonons on the Shubnikov – de Haas Magnetoresistance Oscillations in a Doped Semiconductor Superlattice

**Authors:**
Pham Ngoc Thang,
Le Thai Hung,
Nguyen Quang Bau

**Abstract:**

The influence of confined acoustic phonons on the Shubnikov – de Haas magnetoresistance oscillations in a doped semiconductor superlattice (DSSL), subjected in a magnetic field, DC electric field, and a laser radiation, has been theoretically studied based on quantum kinetic equation method. The analytical expression for the magnetoresistance in a DSSL has been obtained as a function of external fields, DSSL parameters, and especially the quantum number *m* characterizing the effect of confined acoustic phonons. When *m* goes to zero, the results for bulk phonons in a DSSL could be achieved. Numerical calculations are also achieved for the *GaAs:Si/GaAs:Be *DSSL and compared with other studies. Results show that the Shubnikov – de Haas magnetoresistance oscillations amplitude decrease as the increasing of phonon confinement effect.

**Keywords:**
Shubnikov–de Haas magnetoresistance oscillations,
quantum kinetic equation,
confined acoustic phonons,
laser radiation,
doped semiconductor superlattices.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1340346

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