The ground state structure of electron's ensemble on onedimension disordered lattice
Abstract
The ground state of interacting particles on a disordered onedimensional hostlattice is studied by a direct numerical method. It is shown that if the concentration of particles is small, then even a weak disorder of the hostlattice breaks the longrange order of Generalized Wigner Crystal, replacing it by the sequence of blocks (domains) of particles with random lengths. The mean domains length as a function of the hostlattice 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2013
 DOI:
 10.48550/arXiv.1401.0121
 arXiv:
 arXiv:1401.0121
 Bibcode:
 2014arXiv1401.0121P
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 16 pages, 4 figures