The energy spectrum of the one-dimensional quasi-periodic periodic-doubling lattice

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dc.contributor.advisor Joe, Yong S. en_US Qin, Mingguang en_US 2011-06-03T19:39:15Z 2011-06-03T19:39:15Z 2001 en_US 2001
dc.identifier LD2489.Z9 2001 .Q26 en_US
dc.description.abstract In this paper we investigated the electronic energy spectrum of the one-dimensional quasi-periodic Periodic-Doubling lattice under the tight-binding approximation by means of a renormalization-group procedure. We calculated the high-degenerated energy levels and the integrated density if state (DOS). We also undertook numerical calculations based on Dean's negative eigenvalue theory, which shows that the integrated DOS of the Period-Doubling lattice changes abruptly at certain energy levels, while in the periodic case it changes smoothly with energy. The analytical and the numerical results were compared. It was found that the two kinds of results agree very well. en_US
dc.description.sponsorship Department of Physics and Astronomy
dc.format.extent vi, 45 leaves : ill. (some col.) ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Lattice dynamics. en_US
dc.subject.lcsh Renormalization group. en_US
dc.title The energy spectrum of the one-dimensional quasi-periodic periodic-doubling lattice en_US
dc.type Research paper (M.A.), 3 hrs. en_US Thesis (M.A.) en_US
dc.identifier.cardcat-url en_US

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  • Research Papers [5068]
    Research papers submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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