Anderson localization in different one-dimensional systems with off-diagonal disorder and spin-dependence |
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Authors: | U Krey |
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Institution: | (1) Institut für Physik III der Universität Regensburg, Universitätsstrasse 31, D-8400 Regensburg, Germany |
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Abstract: | The localization properties of certain spin-dependent, one-dimensional electronic systems with only off-diagonal disorder are studied. In higher dimensions (d=2,3) the models considered would correspond to different universality classes, whereas ford=1 no qualitative difference is found: ForE=0, all eigenstates are exponentially localized, whereas forE 0 the localization length diverges logarithmically, such that exactly atE=0 the geometric average of the transmission coefficient would decay with increasing chain lengthL as exp (-const. ·L
1/2), instead of the usual, exponential decay.ForE=0, in the interior of the band, the localization lengthr
0 diverges W
2
–2 in the limit of weak disorder (W
2 0), whereas just at the band edge one has roughlyr
0 W
2
–2/3. A universal recursion relation, depending only on the energy and on certain randomly distributed determinants, determines the localization length and the density of states for all systems considered. |
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Keywords: | |
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