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Numerical Studies Of One-Dimensional Generalized Wigner Crystal On Disordered Host-Lattice

Author

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  • VICTOR SLAVIN

    (B. I. Verkin Institute for Low Temperature Physics and Engineering, Ukrainian National Academy of Sciences, 47 Lenin Ave, Kharkov, 61103, Ukraine)

Abstract

New numerical methods of the ground state and thermodynamic properties calculations of one-dimensional Generalized Wigner crystal on disordered host-lattice are proposed. Unlike computer simulation methods (for instance, Monte Carlo) these methods bring theexactresults. Another attractive feature of the proposed methods is their speed: it is possible to study the systems with length about104–105nodes even on a personal computer. This is especially important in the case of weakly disordered systems and the long-range correlations. The gapless structure of low-energy excitation and breaking long-range correlations at arbitrary small disordering are established.

Suggested Citation

  • Victor Slavin, 2004. "Numerical Studies Of One-Dimensional Generalized Wigner Crystal On Disordered Host-Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(07), pages 955-965.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:07:n:s0129183104006406
    DOI: 10.1142/S0129183104006406
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