Ground state of one-dimension repulsing particles on disordered lattice

L. A. Pastur (), V. V. Slavin () and A. A. Krivchikov ()
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L. A. Pastur: B.I Verkin Institute for Low-Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine
V. V. Slavin: B.I Verkin Institute for Low-Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine
A. A. Krivchikov: B.I Verkin Institute for Low-Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 08, 1-17

Abstract: The ground state (GS) of interacting particles on a disordered one-dimensional (1D) host-lattice is studied by a new numerical method. It is shown that if the concentration of particles is small, then even a weak disorder of the host-lattice breaks the long-range order of Generalized Wigner Crystal (GWC), replacing it by the sequence of blocks (domains) of particles with random lengths. The mean domains length as a function of the host-lattice disorder parameter is also found. It is shown that the domain structure can be detected by a weak random field, whose form is similar to that of the ground state but has fluctuating domain walls positions. This is because the generalized magnetization corresponding to the field has a sufficiently sharp peak as a function of the amplitude of fluctuations for small amplitudes.

Keywords: One-dimensional systems; disordered systems; ground state structure; 05.10-a; 05.20.-y; 64.60.Cn (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500284

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