Interplay of off-diagonal random disorder and quasiperiodic potential in a one-dimensional Aubry-André model

2020 ◽  
Vol 128 (4) ◽  
pp. 47005
Author(s):  
Shilpi Roy ◽  
Saurabh Basu
Keyword(s):  
One Dimensional ◽  
Quasiperiodic Potential ◽  
Random Disorder

scholarly journals Interaction instability of localization in quasiperiodic systems

2018 ◽  
Vol 115 (18) ◽  
pp. 4595-4600 ◽  
Author(s):  
Marko Žnidarič ◽  
Marko Ljubotina
Keyword(s):  
Transport Properties ◽  
Quantum Systems ◽  
Theoretical Physics ◽  
Solvable Models ◽  
Many Body ◽  
Small Perturbations ◽  
One Dimensional ◽  
Quasiperiodic Potential ◽  
Quasiperiodic Systems ◽  
Small Interactions

Integrable models form pillars of theoretical physics because they allow for full analytical understanding. Despite being rare, many realistic systems can be described by models that are close to integrable. Therefore, an important question is how small perturbations influence the behavior of solvable models. This is particularly true for many-body interacting quantum systems where no general theorems about their stability are known. Here, we show that no such theorem can exist by providing an explicit example of a one-dimensional many-body system in a quasiperiodic potential whose transport properties discontinuously change from localization to diffusion upon switching on interaction. This demonstrates an inherent instability of a possible many-body localization in a quasiperiodic potential at small interactions. We also show how the transport properties can be strongly modified by engineering potential at only a few lattice sites.

Effects of weak random disorder in the one-dimensional Hubbard model

1993 ◽  
Vol 47 (16) ◽  
pp. 10090-10098 ◽  
Author(s):  
A. W. Sandvik ◽  
D. J. Scalapino
Keyword(s):  
Hubbard Model ◽  
One Dimensional ◽  
Random Disorder ◽  
The One

scholarly journals Correlated Fermions in a One-Dimensional Quasiperiodic Potential

1999 ◽  
Vol 83 (19) ◽  
pp. 3908-3911 ◽  
Author(s):  
Julien Vidal ◽  
Dominique Mouhanna ◽  
Thierry Giamarchi
Keyword(s):  
One Dimensional ◽  
Quasiperiodic Potential ◽  
Correlated Fermions
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