Possible Relationship between Arctic Oscillation and the 11-years cycles of solar irradiance

Is the decadal variability associated with the Arctic Oscillation related with the 11-years cycles of solar radiation?
Lean, J. and Rind, D. (Science, 2001) mentioned many mechanisms through which the solar cycles could affect the earth climate. Is it possible that some positive or negative feedbacks could amplify the small variability exerted by solar with a period around 11 years.
Reference: [1]        J. Lean and D. Rind. Earth’s response to a variable sun. Science, 292(5515):234–236, 2001.

Energy source of climate system

It is said that the sun is the ultimate source of energy for the climate system. It is true for the current state when the tectonic seems pretty quiet, but how about other period when the geosphere was more active? Any such period exists? If so, could the geothermal play some roles in the climate system? Is the energy exported by human itself large enough to affect the climate system? Seems not.