Energy-level statistics and localization of 2d electrons in random magnetic fields

Abstract

Using the method of energy-level statistics, the localization properties of electrons moving in two dimensions in the presence of a perpendicular random magnetic field and additional random disorder potentials are investigated. For this model, extended states have recently been proposed to exist in the middle of the band. In contrast, from our calculations of the large-$s$ behavior of the nearest neighbor level spacing distribution $P(s)$ and from a finite size scaling analysis we find only localized states in the suggested energy and disorder range.

4 pages LaTeX, 4 eps-figures. to appear in Physica B

References in corpus (2)

• Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
• Scaling of level-statistics and critical exponent of disordered two-dimensional symplectic systems

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• Renormalization group approach to energy level statistics at the integer quantum Hall transition
• Antilocalization in a 2D Electron Gas in a Random Magnetic Field
• Quantization of edge currents along magnetic barriers and magnetic guides
• Critical conductance of two-dimensional chiral systems with random magnetic flux
• Metal-insulator transitions in anisotropic 2d systems
• Spin and orbital effects in a 2D electron gas in a random magnetic field
• Ballistic electron motion in a random magnetic field
• Level dynamics and avoided level crossings in driven disordered quantum dots
• Splitting of the Landau levels by magnetic perturbations and Anderson transition in 2D-random magnetic media
• On the role of the symmetry parameter $\beta$ in the strongly localized regime
• Ballistic transport in random magnetic fields with anisotropic long-ranged correlations