Exceptional enhancement of localization effect in a one-dimensional multilayer system with destructive weak disorder strength

We study numerically the localization properties of the eigenstates of a tight-binding Hamiltonian model for noninteracting electrons moving in a one-dimensional disordered ring pierced by an Aharonov-Bohm flux. By analyzing the dependence of the inverse participation ratio on Aharonov-Bohm flux, energy, disorder strength and system size, we find that all states in the ring are delocalized in the weak disorder limit. The states lying deeply in the band tails will undergo a continuous delocalization-localization transition as the disorder strength in the ring sweeps from the weak to the strong disorder regime.

Download Full-text

LOCALIZED ENTANGLEMENT IN ONE-DIMENSIONAL ANDERSON MODEL

Modern Physics Letters B ◽

10.1142/s0217984905008487 ◽

2005 ◽

Vol 19 (11) ◽

pp. 517-527 ◽

Cited By ~ 10

Author(s):

HAIBIN LI ◽

XIAOGUANG WANG

Keyword(s):

Anderson Model ◽

Localization Length ◽

Direct Relation ◽

Disorder Strength ◽

One Dimensional ◽

Entanglement Distribution ◽

Localization Center

The entanglement in one-dimensional Anderson model is studied. The pairwise entanglement has a direct relation to the localization length and is reduced by disorder. Entanglement distribution displays the entanglement localization. The pairwise entanglements around localization center exhibit a maximum as the disorder strength increases. The dynamics of entanglement are also investigated.

Download Full-text

Ground state of one-dimension repulsing particles on disordered lattice

International Journal of Modern Physics C ◽

10.1142/s0129183114500284 ◽

2014 ◽

Vol 25 (08) ◽

pp. 1450028 ◽

Cited By ~ 2

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.

Download Full-text