• Corpus ID: 211678258

Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations

@article{Shamailov2020AndersonLI,
  title={Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations},
  author={Sophie S. Shamailov and Dylan J. Brown and Thomas Haase and Maarten D. Hoogerland},
  journal={arXiv: Quantum Gases},
  year={2020}
}
Motivated by experimental progress in cold atomic systems, we use and further develop Localisation Landscape Theory (LLT), which has unparalleled strengths over alternative methods. We focus on two-dimensional systems with point-like random scatterers, but our methods are neither model nor dimension specific. We begin by showing that exact eigenstates cannot be efficiently used to extract the localisation length. We then provide a comprehensive review of known LLT, and show that the effective… 
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