Level correlations driven by weak localization in 2d systems
VE Kravtsov, IV Lerner - Physical review letters, 1995 - APS
Physical review letters, 1995•APS
We consider the two-level correlation function in two-dimensional disordered systems. In the
nonergodic diffusive regime, at energy ε> E c (E c is the Thouless energy), it is shown to be
completely determined by the weak localization effects, thus being extremely sensitive to
time reversal and spin symmetry breaking: It decreases drastically in the presence of
magnetic field or magnetic impurities and changes its sign in the presence of a spin-orbit
interaction. In contrast to this, the variance of the levels number fluctuations is shown to be …
nonergodic diffusive regime, at energy ε> E c (E c is the Thouless energy), it is shown to be
completely determined by the weak localization effects, thus being extremely sensitive to
time reversal and spin symmetry breaking: It decreases drastically in the presence of
magnetic field or magnetic impurities and changes its sign in the presence of a spin-orbit
interaction. In contrast to this, the variance of the levels number fluctuations is shown to be …
Abstract
We consider the two-level correlation function in two-dimensional disordered systems. In the nonergodic diffusive regime, at energy ε> E c (E c is the Thouless energy), it is shown to be completely determined by the weak localization effects, thus being extremely sensitive to time reversal and spin symmetry breaking: It decreases drastically in the presence of magnetic field or magnetic impurities and changes its sign in the presence of a spin-orbit interaction. In contrast to this, the variance of the levels number fluctuations is shown to be almost unaffected by the weak localization effects.
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