We investigate the spin relaxation due to the random Rashba spin-orbit coupling in symmetric GaAs (110) quantum wells from the fully microscopic kinetic spin Bloch equation approach. All relevant scatterings, such as the electron-impurity, electron-longitudinal-optical-phonon, electronacoustic-phonon, as well as electron-electron Coulomb scatterings are explicitly included. It is shown that our calculation reproduces the experimental data by Müller et al. [Phys. Rev. Lett. 101, 206601 (2008)] for a reasonable choice of parameter values. We also predict that the temperature dependence of spin relaxation time presents a peak in the case with low impurity density, which originates from the electron-electron Coulomb scattering.PACS numbers: 72.25. Rb, 71.70.Ej, 73.21.Fg Semiconductor spintronics has been an active field of research lately due to the potential application of spinbased devices.1-3 Recent experiments show that the spin relaxation time (SRT) in (110)-oriented GaAs quantum wells (QWs) is extremely long, and thus the spin dynamics in this system has attracted much attention both experimentally and theoretically.4-18 The physics underlying this effect is the absence of the D'yakonov-Perel' (DP) mechanism, 19 which is the leading spin relaxation mechanism in n-type zinc-blende semiconductors. The DP mechanism is from the joint effects of the momentum scattering and the momentum-dependent effective magnetic field (inhomogenous broadening 20 ) induced by the Dresselhaus 21 and the Rashba 22 spin-orbit coupling (SOC). In symmetric GaAs (110) QWs with only the lowest subband occupied, the in-plane component of the spin-orbit field vanishes.23 Therefore the DP mechanism cannot affect electrons with spin polarization along the growth direction and the SRT in this system is considerably larger than that in (100) QWs. In most of the previous works, the main reason limiting the SRT is attributed to the Bir-Aronov-Pikus mechanism, 24 which is from the exchange interaction between the electrons and the photo-generated holes. One of the exceptions is the spin noise spectroscopy measurement by Müller et al.,15 where the excitation of semiconductor is negligible and hence the Bir-Aronov-Pikus mechanism is avoided. They reported the longest SRT in this system which is about 24 ns. Since the DP and Bir-Aronov-Pikus mechanisms are both absent, and the virtual intersubband spin-flip SOC induced spin relaxation is also ruled out due to the relatively high mobility of the samples, 16 the possible reason limiting the SRT is the DP mechanism due to the random Rashba SOC caused by the fluctuations of the donor density.
25,26As shown by Sherman et al., 25,26 even in symmetric QWs, the unavoidable fluctuations of the concentration of the dopant ions still lead to a random electric field along the growth direction, and hence a random Rashba SOC at each point of a QW. This random SOC provides an inhomogeneous broadening and induces the DP spin relaxation. The previous investigations 25,26 on the spin relaxation due to this mechan...