scholarly journals Localization and the Mobility Edge in One-Dimensional Potentials with Correlated Disorder

1999 ◽  
Vol 82 (20) ◽  
pp. 4062-4065 ◽  
Author(s):  
F. M. Izrailev ◽  
A. A. Krokhin
Keyword(s):  
Mobility Edge ◽  
One Dimensional

scholarly journals GAP PROBABILITY OF A ONE-DIMENSIONAL GAS MODEL

1996 ◽  
Vol 10 (16) ◽  
pp. 1989-1997
Author(s):  
Y. CHEN ◽  
S.M. MANNING
Keyword(s):  
Energy Level ◽  
Thermodynamic Limit ◽  
Gap Formation ◽  
Mobility Edge ◽  
One Dimensional ◽  
Disordered Solids ◽  
Formation Probability ◽  
Level Statistics ◽  
Correct Form ◽  
Gap Probability

We investigate the gap formation probability of the effective one-dimensional gas model recently proposed for the energy level statistics for disordered solids at the mobility edge. It is found that in order to get the correct form for the gap probability of this model, the thermodynamic limit must be taken very carefully.

scholarly journals Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice

2018 ◽  
Vol 120 (16) ◽  
Author(s):  
Henrik P. Lüschen ◽  
Sebastian Scherg ◽  
Thomas Kohlert ◽  
Michael Schreiber ◽  
Pranjal Bordia ◽  
...  
Keyword(s):  
Single Particle ◽  
Optical Lattice ◽  
Mobility Edge ◽  
One Dimensional ◽  
Particle Mobility

scholarly journals Observation of Many-Body Localization in a One-Dimensional System with a Single-Particle Mobility Edge

2019 ◽  
Vol 122 (17) ◽  
Author(s):  
Thomas Kohlert ◽  
Sebastian Scherg ◽  
Xiao Li ◽  
Henrik P. Lüschen ◽  
Sankar Das Sarma ◽  
...  
Keyword(s):  
Single Particle ◽  
Dimensional System ◽  
Many Body ◽  
Mobility Edge ◽  
One Dimensional ◽  
Particle Mobility

scholarly journals Localization Properties of a Quasiperiodic Ladder under Physical Gain and Loss: Tuning of Critical Points, Mixed-Phase Zone and Mobility Edge

Materials ◽  
2022 ◽  
Vol 15 (2) ◽  
pp. 597
Author(s):  
Souvik Roy ◽  
Santanu K. Maiti ◽  
Laura M. Pérez ◽  
Judith Helena Ojeda Silva ◽  
David Laroze
Keyword(s):  
Critical Points ◽  
Tight Binding ◽  
Mixed Phase ◽  
Present Communication ◽  
Phase Zone ◽  
Mobility Edge ◽  
One Dimensional ◽  
System A ◽  
Different Types ◽  
Insight Into

We explore the localization properties of a double-stranded ladder within a tight-binding framework where the site energies of different lattice sites are distributed in the cosine form following the Aubry–André–Harper (AAH) model. An imaginary site energy, which can be positive or negative, referred to as physical gain or loss, is included in each of these lattice sites which makes the system a non-Hermitian (NH) one. Depending on the distribution of imaginary site energies, we obtain balanced and imbalanced NH ladders of different types, and for all these cases, we critically investigate localization phenomena. Each ladder can be decoupled into two effective one-dimensional (1D) chains which exhibit two distinct critical points of transition from metallic to insulating (MI) phase. Because of the existence of two distinct critical points, a mixed-phase (MP) zone emerges which yields the possibility of getting a mobility edge (ME). The conducting behaviors of different energy eigenstates are investigated in terms of inverse participation ratio (IPR). The critical points and thus the MP window can be selectively controlled by tuning the strength of the imaginary site energies which brings a new insight into the localization aspect. A brief discussion on phase transition considering a multi-stranded ladder was also given as a general case, to make the present communication a self-contained one. Our theoretical analysis can be utilized to investigate the localization phenomena in different kinds of simple and complex quasicrystals in the presence of physical gain and/or loss.

scholarly journals MOBILITY EDGE IN THE AUBRY MODEL OF ONE-DIMENSIONAL INCOMMENSURATE SYSTEMS

1993 ◽  
Vol 42 (1) ◽  
pp. 95
Author(s):  
WANG CHUAN-KUI ◽  
SUN JIN-ZUO ◽  
WANG JI-SUO ◽  
WANG WEN-ZHENG
Keyword(s):  
Mobility Edge ◽  
One Dimensional
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