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Recently, a high-energy superconducting $e^+e^-$ linear collider with energyrecovery (ERLC) has been proposed, using twin RF structures to avoid parasiticcollisions in linacs. Such a collider could operate in DC (duty cycle) or CW(continuous) mode, if sufficient power is available, with a luminosity of${\cal O}(10^{36})$ cm$^{-2}$s$^{-1}$ at $2E_0=$250-500 GeV. In this paper, wefind that the luminosity of the ERLC operating in DC mode does not depend onthe accelerating gradient (for the same total power), allowing the ERLC tooperate at the maximum available accelerating gradients. We also consider forthe first time an $e^-e^-$ twin collider with energy recovery and estimate itsachievable luminosity. Such an $e^-e^-$ collider is simpler than an $e^+e^-$one. It does not require beam recycling, since electrons can be produced aneweach time. Travelling-wave RF structures allow higher gradients and reducedthermal loading. It is shown that an ERLC with an acceleration gradient of$G=40$ MeV/m can be operated in CW mode with $L_{e^+e^-} =$ (1-2.5)$10^{36}$and $L_{e^-e^-} =$ (3-7)$10^{36}$ cm$^{-2}$s$^{-1}$ for reasonable powers of150 and 300 MW at $2E_0=250$ and 500 GeV, respectively. Such a machine is apromising candidate for a Higgs factory.

Energy recovery twin linear $e^+e^-$, $e^-e^-$ colliders (ERLC ) with high luminosities and acceleration gradients