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It is shown, that the monotonic part of interlayer electronic conductivitystrongly decreases in high magnetic field perpendicular to the conductinglayers. We consider only the coherent interlayer tunnelling, and the obtainedresult strongly contradicts the standard theory. This effect appears in veryanisotropic layered quasi-two-dimensional metals, when the interlayer transferintegral is less than the Landau level separation.

Monotonic growth of interlayer magnetoresistance in strong magnetic field in very anisotropic layered metals