Search of Stop, Sbottom, and Stau at an $e^+e^-$ Linear Collider with $\sqrt{s}$ = 0.5 - 2 TeV

We discuss pair production and decays of stops, sbottoms, and staus in $e^+e^-$ annihilation in the energy range $\sqrt{s}$ = 500 GeV to 2 TeV. We present numerical predictions within the Minimal Supersymmetric Standard Model for cross sections and decay rates. We study the stop discovery potential for $\sqrt{s}$ = 500 GeV and $10~\fb^{-1}$ integrated luminosity with full statistics background simulation.