Relativistic energy-dispersion relations of 2D rectangular lattices
| Autor: | Doğan Demirhan, Fevzi Büyükkiliç, Engin Ata |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Valence (chemistry) Spin states Diagonal Conductance Statistical and Nonlinear Physics 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Transfer matrix Lattice (order) Quantum mechanics Dispersion relation 0103 physical sciences Commutation 010306 general physics 0210 nano-technology |
| Zdroj: | International Journal of Modern Physics B. 31:1750061 |
| ISSN: | 1793-6578 0217-9792 |
| DOI: | 10.1142/s0217979217500618 |
| Popis: | An exactly solvable relativistic approach based on inseparable periodic well potentials is developed to obtain energy-dispersion relations of spin states of a single-electron in two-dimensional (2D) rectangular lattices. Commutation of axes transfer matrices is exploited to find energy dependencies of the wave vector components. From the trace of the lattice transfer matrix, energy-dispersion relations of conductance and valence states are obtained in transcendental form. Graphical solutions of relativistic and nonrelativistic transcendental energy-dispersion relations are plotted to compare how lattice parameters [Formula: see text], core and interstitial size of the rectangular lattice affects to the energy-band structures in a situation core and interstitial diagonals are of equal slope. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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