Classical Diffusion in One-Dimensional Disordered Lattice

1978 ◽  
Vol 41 (3) ◽  
pp. 185-187 ◽  
Author(s):  
J. Bernasconi ◽  
S. Alexander ◽  
R. Orbach
Keyword(s):  
One Dimensional ◽  
Classical Diffusion ◽  
Disordered Lattice

Ground state of one-dimension repulsing particles on disordered lattice

2014 ◽  
Vol 25 (08) ◽  
pp. 1450028 ◽  
Author(s):  
L. A. Pastur ◽  
V. V. Slavin ◽  
A. A. Krivchikov
Keyword(s):  
Ground State ◽  
Domain Walls ◽  
Host Lattice ◽  
One Dimension ◽  
Weak Disorder ◽  
Interacting Particles ◽  
One Dimensional ◽  
Lattice Disorder ◽  
Disordered Lattice ◽  
The Mean

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.

ac conductivity of a one-dimensional site-disordered lattice

1978 ◽  
Vol 17 (12) ◽  
pp. 4487-4494 ◽  
Author(s):  
R. C. Albers ◽  
J. E. Gubernatis
Keyword(s):  
Ac Conductivity ◽  
One Dimensional ◽  
Disordered Lattice

Localization theory in a one-dimensional disordered lattice

1975 ◽  
Vol 25 (1) ◽  
pp. 1-12 ◽  
Author(s):  
J. Chahoud ◽  
L. Ferrari ◽  
G. Russo
Keyword(s):  
One Dimensional ◽  
Disordered Lattice ◽  
Localization Theory
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