Spectrum, correlations and dimensional crossover in triple 2D quantum crossbars

Triple 2D crossbars behaves as sliding Luttinger liquid in the infrared limit. Its high frequency characteristics demonstrate 1D→2D dimensional crossover in special regions of reciprocal space. Crossover manifests itself in appearance of additional peaks of optical absorption, non-zero transverse space correlators, and possible periodic energy transfer between all three arrays. Keywords