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Two-dimensional electron systems beyond the diffusive regime
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DOI：10.1103/PhysRevB.82.094203.png)
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摘要
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Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, K-11 and gamma were introduced recently which measure the nonhomogeneity of the spatial distribution of the electron inside the sample. For the orthogonal, unitary, and symplectic two-dimensional disordered models, we investigate numerically the system-size dependence of these parameters in the diffusive and localized regimes. Obtained size and disorder dependence of K-11 and gamma is in agreement with single parameter transport theory. In the localized regime, gamma 0 independently of the physical symmetry of the model. In the diffusive regime, gamma equals to the symmetry parameter beta. For the symplectic model we analyze the size dependence of gamma in the critical region of the metal-insulator transition and found the nonuniversal critical value gamma(c).
Keyword:
RANDOM-MATRIX THEORY
DISORDERED CONDUCTORS
2 DIMENSIONS
TRANSMISSION EIGENVALUES
SCALING THEORY
LOCALIZATION
TRANSPORT
FLUCTUATIONS
ABSENCE
WIRE
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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