Тип публикации: статья из журнала
Год издания: 2008
Идентификатор DOI: 10.1103/PhysRevLett.101.190602
Ключевые слова: Crystal lattices, Semiconductor doping, 2d lattices, Analytical expressions, Anderson, Diffusion Coefficients, Diffusive dynamics, Disorder strengths, Field directions, Numerical simulations, Orthogonal directions, Quantum particles, Random matrixes, Site disorders, Static fields, Universal equations, Weak disorders, Dynamics
Аннотация: This Letter studies the dynamics of a quantum particle in 2D lattices with on-site disorder in the presence of a static field. It is shown that the particle is localized along the field direction, while in the orthogonal direction to the field it shows diffusive dynamics for algebraically large times. For weak disorder an analyticaПоказать полностьюl expression for the diffusion coefficient is obtained by mapping the problem to a band random matrix. This expression is confirmed by numerical simulations of the particle's dynamics, which also indicate the existence of a universal equation for the diffusion coefficient, valid for an arbitrary disorder strength.
Журнал: PHYSICAL REVIEW LETTERS
Выпуск журнала: Vol. 101, Is. 19
ISSN журнала: 00319007
Место издания: COLLEGE PK
Издатель: AMER PHYSICAL SOC