Weak-field magnetoconductance (MC) caused by the weak localization (WL) in Al x Ga 1-x As y Sb 1-y /InAs quantum wells (QWs) has been studied by means of tuning the carrier density n via the positive and negative persistent photoconductivity effects in order to explore the origin of spin-orbit interaction (SOI). We have found the weak antilocalization (WAL) in extremely weak magnetic fields developing with increasing n. The MC has been fitted by taking account of the spin-Zeeman effect on the SOI arising from the spin splitting in asymmetric systems. The SO field (B so ) inferred has been found to be almost independent of n, thereby confirming the dominant role of the Rashba field as the cause of SOI in our InAs QWs.