Magnetophonon oscillations in quasi-two-dimensional quantum wells

The transverse dc electrical conductivity of a quasi-two-dimensional quantum well, in the presence of a magnetic field normal to the barriers of the well, is evaluated for electron-phonon interaction. For optical and polar optical phonons the conductivity oscillates as a function of the magnetic field with resonances occurring when P${\omega }_0$=${\omega }_L$, where ${\omega }_0$,${\omega }_L$ are the cyclotron and phonon frequencies, respectively, and where P is an integer. For elastic scattering with acoustical and piezoelectrical phonons, at low temperatures, resonances are expected when Pħ${\omega }_0$=${\varepsilon }_F$-${\varepsilon }_0$, where ${\varepsilon }_F$ is the Fermi level and ${\varepsilon }_0$ the lowest subband energy in the direction of the magnetic field. The dependence of the evaluated conductivities, inverse scattering rates, and Landau-level widths on the magnetic field, the thickness of the well, and the temperature is shown explicitly. The results obtained here are in accordance with those available in the literature.