The responsivity of a room-temperature GaAs Schottky barrier diode (SBD) mixer for 2.5 THz has been measured by using 14 far infrared laser lines in the frequency range of 1.6-6.3 THz. The SBD mixer has been detectable up to 6.3 THz. We have succeeded in the detection of two-color beat signals of simultaneously oscillated 5.2- and 6.3-THz CH3OD lasers by using the SBD mixer. As the application, it has been verified that the SBD mixer has been usable for beat frequency stabilization of the 5.2- and 6.3-THz CH3OD lasers of a two-color interferometer for fusion plasma diagnostics.