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

VICTOR SLAVIN

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

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https://doi.org/10.1142/S0129183104006406Cited by:1 (Source: Crossref)

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 the exact results. Another attractive feature of the proposed methods is their speed: it is possible to study the systems with length about 10⁴–10⁵ nodes 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.

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