Dimensional Crossover in 2D Crossbars

  • K. Kikoin
  • I. Kuzmenko
  • S. Gredeskul
  • Y. Avishai
Part of the NATO Science Series book series (NAII, volume 106)


Spectrum of boson fields and two-point correlation functions are analyzed in quantum crossbars (QCB, a superlattice formed by two crossed interacting arrays of quantum wires), with short range inter-wire interaction. 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 Brillouin zone. As a result, the crossover from 1D to 2D regime may be experimentally observed. Plasmon propagation in arbitrary direction is possible. Periodic energy transfer between arrays (“Rabi oscillations”) is predicted.


Quantum Wire Rabi Oscillation Luttinger Liquid Boson Field Resonant Line 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • K. Kikoin
    • 1
  • I. Kuzmenko
    • 1
  • S. Gredeskul
    • 1
  • Y. Avishai
    • 1
  1. 1.Department of PhysicsBen-Gurion University of the NegevBeer-ShevaIsrael

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