843 12 3645 2 10040 document 3645 1401.6770.pdf application/pdf 7b36128d085bfbad224a79928cf51c57 MD5 595834 2014-01-30 15:58:39 http://eprints.iliauni.edu.ge/843/1/1401.6770.pdf 843 1 1 application/pdf text ge public

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http://eprints.org/relation/isVersionOf http://eprints.iliauni.edu.ge/id/document/3645 http://eprints.org/relation/isVolatileVersionOf http://eprints.iliauni.edu.ge/id/document/3645 http://eprints.org/relation/ispreviewThumbnailVersionOf http://eprints.iliauni.edu.ge/id/document/3645 3649 2 10050 document 3649 medium.jpg image/png 01b8182d7bcc5a0b2585ee2a148a5c64 MD5 7341 2014-01-30 16:08:55 http://eprints.iliauni.edu.ge/843/5/medium.jpg 843 5 5 image/png other Thumbnails conversion from text to thumbnail_medium ge public

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http://eprints.org/relation/isVersionOf http://eprints.iliauni.edu.ge/id/document/3645 http://eprints.org/relation/isVolatileVersionOf http://eprints.iliauni.edu.ge/id/document/3645 http://eprints.org/relation/ismediumThumbnailVersionOf http://eprints.iliauni.edu.ge/id/document/3645 3650 2 10051 document 3650 small.jpg image/png 0e4e8c8cdc7360331653d184673a521d MD5 1775 2014-01-30 16:08:57 http://eprints.iliauni.edu.ge/843/6/small.jpg 843 6 6 image/png other Thumbnails conversion from text to thumbnail_small ge public

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http://eprints.org/relation/isVersionOf http://eprints.iliauni.edu.ge/id/document/3645 http://eprints.org/relation/isVolatileVersionOf http://eprints.iliauni.edu.ge/id/document/3645 http://eprints.org/relation/issmallThumbnailVersionOf http://eprints.iliauni.edu.ge/id/document/3645 archive 34 disk0/00/00/08/43 2014-01-30 20:04:15 2015-04-03 06:47:12 2014-01-30 20:04:15 article show Eliashvili M. Japaridze G.I. gia_japaridze@iliauni.edu.ge Tsitsishvili G. Tukhashvili G. submitted QC fac_eng public Analytic technique based on Chebyshev polynomials is developed for studying two-dimensional lattice ribbons with hopping anisotropy. In particular, the tight-binding models on square and triangle lattice ribbons are investigated with anisotropic nearest neighbouring hoppings. For special values of hopping parameters the square lattice becomes topologically equivalent to a honeycomb one either with zigzag or armchair edges. In those cases as well as for triangle lattices we perform the exact analytic diagonalization of tight-binding Hamiltonians in terms of Chebyshev polynomials. Deep inside the edge state subband the wave functions exhibit exponential spatial damping which turns into power-law damping at edge-bulk transition point. The common observation is that edge states occur only along zigzag type boundaries. It is shown that strong hopping anisotropy crashes down edge states, and the corresponding critical conditions are found. 2014 Los-Alamos NL ArXiv FALSE