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Localization transitions and mobility edges in quasiperiodic ladder.
1School of Physics, Nankai University, Tianjin 300071, People's Republic of China.
Summary
We studied quasiperiodic chains and found mobility edges, which are transition points between localized and extended states. These edges can be detected using a dynamical method in engineered Moiré superlattices.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Disordered systems
Background:
- Localization phenomena in disordered systems are crucial for understanding wave transport.
- Quasiperiodic potentials offer a unique route to explore transitions between ordered and disordered states.
- Ladder systems provide a tunable platform for investigating complex localization behaviors.
Purpose of the Study:
- To investigate the localization properties of two-coupled uniform chains with quasiperiodic modulation.
- To explore the existence and detection of mobility edges in such systems.
- To propose and analyze an experimentally feasible quasiperiodic Moiré superlattice ladder.
Main Methods:
- Analytical and numerical methods were employed to study the system's properties.
- Equivalence to Aubry-André chains was established for symmetric ladder systems.
- Numerical simulations were used to confirm the presence of mobility edges in asymmetric systems.
- A dynamical method involving survival probability measurement was proposed for detecting mobility edges.
Main Results:
- The studied ladder system exhibits localization properties.
- Symmetric ladder systems are equivalent to two Aubry-André chains.
- Asymmetric ladder systems display mobility edges.
- The proposed Moiré superlattice ladder supports mobility edges.
- Mobility edges can be detected via a dynamical method using an imaginary negative potential.
Conclusions:
- The research provides insights into localization transitions and the emergence of mobility edges in quasiperiodic systems.
- The proposed Moiré superlattice ladder offers a practical platform for experimental investigations.
- The dynamical detection method offers a new avenue for probing localization phenomena.
Keywords:
Moiré ladderdynamical detectionlocalization transitionmobility edgequasiperiodic laddersurvival probabilityMore Related Videos
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