Electronic states in a one-dimensional system with incommensurate lattice potentials

K. S. Dy, T. C. Ma

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


The authors present some new and interesting results on the localisation of electronic states in a one-dimensional lattice with an incommensurate lattice potential. The system studied is represented by a tight-binding Hamiltonian with diagonal elements given by V0 cos(qn). V0 is the modulation strength and q is the wavenumber. They introduce the concept of quasilocalisation to clarify inconsistencies in previous work on the existence of mobility edges. Their technique allows very precise calculation of the resolvent operator without the problem of numerical instability. Thus they are able to present accurate results for the density of states even when the widths of the energy bands are extremely small.

Original languageEnglish
Article number010
Pages (from-to)6971-6980
Number of pages10
JournalJournal of Physics C: Solid State Physics
Issue number34
StatePublished - 1982


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