Plasmon excitations and 1D - 2D dimensional crossover in quantum crossbars

Abstract

Spectrum of boson fields and two-point correlators are analyzed in quantum crossbars (QCBs, a superlattice formed by m crossed interacting arrays of quantum wires), with short range inter-wire capacitive interaction. Spectral and correlation properties of double (m=2) and triple (m-3) QCBs are studied. It is shown that the standard bosonization procedure is valid, and the system behaves as a sliding Luttinger liquid in the infrared limit, but the high frequency spectral and correlation characteristics have either 1D or 2D nature depending on the direction of the wave vector in the 2D elementary cell of reciprocal lattice. As a result, the crossover from 1D to 2D regime may be experimentally observed. It manifests itself as appearance of additional peaks of optical absorption, non-zero transverse space correlators and periodic energy transfer between arrays ("Rabi oscillations").

References in corpus (4)

• The Fractional Quantum Hall effect in an array of quantum wires
• Coherence-Incoherence and Dimensional Crossover in Layered Strongly Correlated Metals
• Sliding Luttinger liquid phases
• Charge Screening Effect in Metallic Carbon Nanotubes

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• Possible evidence of non-Fermi liquid behavior from quasi-one-dimensional indium nanowires
• Infrared Spectroscopy of Quantum Crossbars
• Ultraviolet Probing of Quantum Crossbars
• Landau Damping in a 2D Electron Gas with Imposed Quantum Grid
• Coupled quantum wires
• Electronic Properties of Quantum Wire Networks