Eliashvili, M. და Japaridze, G.I. და Tsitsishvili, G. და Tukhashvili, G. (2014) Edge states in 2D lattices with hopping anisotropy and Chebyshev polynomials. Los-Alamos NL ArXiv . (გაგზავნილია გამოსაქვეყნებლად)
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რეზიუმე
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.
| ობიექტის ტიპი: | სტატია |
|---|---|
| თემატიკა: | Q Science > QC Physics |
| ქვეგანყოფილება: | Faculties/Schools > School of Natural Sciences and Engineering |
| განმათავსებელი მომხმარებელი: | გიორგი ჯაფარიძე |
| განთავსების თარიღი: | 30 იანვარი 2014 20:04 |
| ბოლო ცვლილება: | 03 აპრილი 2015 06:47 |
| URI: | http://eprints.iliauni.edu.ge/id/eprint/843 |
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