Influence of Rashba spin-orbit interaction and Zeeman splitting on the ground state energy of polaron in an asymmetric quantum dot

On the basis of Lee-Low-Pines unitary transformation, the influence of Rashba spin-orbit (RSO) interaction and Zeeman splitting on the ground state energy of polaron in an asymmetric quantum dot (AQD) is studied by using the variational method of Pekar type. The variations of the absolute ratios of the Zeeman splitting energy and the RSO coupling energy to the ground state energy of polaron with the transverse confinement length (TCL) and the longitudinal confinement length (LCL) of AQD and the magnetic field adjusting length (MFAL) are derived when the RSO interaction and the Zeeman splitting are taken into account. We find the influences of the Zeeman splitting energy and the RSO coupling energy on the ground state energy of a polaron are more dominant when the values of the TCL and the LCL are small. The absolute ratio of the Zeeman splitting energy to the ground state energy rapidly decreases with increasing the MFAL and the absolute ratio of the RSO coupling energy to the ground state energy slowly decreases with increase in MFAL when R-C > 3r(0), whereas the absolute ratio of the RSO coupling energy to the ground state energy rapidly increases with increase in MFAL when R-C < 3r(0). The above results can be attributed to the interesting quantum size confining and spin effects.