NUMERICAL STUDIES OF ONE-DIMENSIONAL GENERALIZED WIGNER CRYSTAL ON DISORDERED HOST-LATTICE

Victor Slavin ()
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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

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 07, 955-965

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.

Keywords: One-dimensional system; Wigner glass; ground state; partial sum (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006406

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