The one dimensional anderson model with off diagonal disorder: band centre anomaly |
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| Authors: | P Markoš |
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| Institution: | (1) Institute of Measurement and Measuring Technique, Electro-Physical Research Center, Slovak Academy of Sciences, Dúbravska cesta 9, CS-842 19 Bratislava, Czechoslovakia |
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| Abstract: | We study theE-dependence of the Lyapounov exponent < (E)> of an electron with energyE in the one dimensional Anderson model with off diagonal disorder. In the neighbourhood of the band centre we find for nonzero disorder (E)> log–1
E 0 forE0, but all even moments of Re(E) diverge logarithmically. As the probability of Re (E)=0 decreases to zero forE0 we conclude that the electron is always exponentially localised. |
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