Abstract
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.
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References
J. Voit, Rep. Prog. Phys., 58, 977 (1994).
P.W. Anderson, Science, 235, 1196 (1987).
T. Rueckes, K. Kim, E. Joselevich, G.Y. Tseng, C.-L. Cheung, C.M. Lieber, Science 289, 94 (2000).
J. von Delft, and H. Schoeller, Ann. der Physik 7, 225 (1998).
X.G. Wen, Phys. Rev. B42, 6623 (1990); H.J. Schultz, Int. J. Mod. Phys. 1-2. 57 (1991).
V. Emery, E. Fradkin, S.A. Kivelson, and T.C. Lubensky, Phys. Rev. Lett. 85, 2160 (2000).
A. Vishwanath and D. Carpentier, Phys. Rev. Lett. 86, 676 (2001).
R. Mukhopadhyay, C.L. Kane, and T.C. Lubensky, Phys. Rev. B 63, 081103(R) (2001); Phys. Rev. B 64, 045120 (2001); cond-mat/0102163.
C.S. Hern, T.C. Lubensky, and J. Toner, Phys. Rev. Lett. 83, 2745 (1999).
S.L. Sondhi and K. Yang, Phys. Rev. B 63 054430 (2001)
C.L. Kane, R. Mukhopadhyay, and T.C. Lubensky, Phys. Rev. Lett. 88, 036401 (2002).
J.E. Avron, A. Raveh, and B. Zur, Rev. Mod.Phys. 60, 873 (1988).
Y. Avishai, and J.M. Luck, Phys. Rev. B 45, 1074 (1992).
F. Guinea, and G. Zimanyi, Phys. Rev. B 47, 501 (1993).
A.H. Castro Neto, and F. Guinea, Phys. Rev. Lett. 80, 4040 (1998).
I. Kuzmenko, S. Gredeskul, K. Kikoin and Y. Avishai, Low Temp. Phys. 28, 752 (2002).
K. Sasaki, cond-mat/0112178.
S.G. Louie in Carbon Nanotubes, M.S. Dresselhaus, G. Dresselhaus, Ph. Avouris (Eds.), Topics Appl. Phys. 80, 113 (2001), Springer, Berlin 2001.
R. Egger, A. Bachtold, M.S. Fuhrer, M. Bockrath, D.H. Cobden, and P.L. McEuen, condmat/0008008.
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Kikoin, K., Kuzmenko, I., Gredeskul, S., Avishai, Y. (2003). Dimensional Crossover in 2D Crossbars. In: Vagner, I.D., Wyder, P., Maniv, T. (eds) Recent Trends in Theory of Physical Phenomena in High Magnetic Fields. NATO Science Series, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0221-9_8
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DOI: https://doi.org/10.1007/978-94-010-0221-9_8
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