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https://niigata-u.repo.nii.ac.jp/oai
oai:niigata-u.repo.nii.ac.jp:00002560
2022-12-15T03:35:44Z
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Localization of Eigenstates in One-Dimensional Disordered Systems
Goda, Masaki
Exact results are obtained on the localization of eigenstates in one-dimensional infinite disordered systems with diagonal and off-diagonal randomness. A Furstenberg-type theorem is established for the product of matrices associated with a multi-Markov-chain. As a result, Matsuda and Ishii's theory is generalized to examine the systems with both randomnesses. Harmonic chains, tightly binding electronic systems and Heisenberg-Mattis model are considered as typical examples.
Progress of Theoretical Physics
1982
eng
journal article
VoR
http://hdl.handle.net/10191/4904
https://niigata-u.repo.nii.ac.jp/records/2560
http://doi.org/10.1143/ptp.72.232
AA00791466
0375-9687
Progress of Theoretical Physics Supplement
72
232
246
https://niigata-u.repo.nii.ac.jp/record/2560/files/PTP Suppl 72(1982).pdf
application/pdf
1.2 MB
2019-07-29