Abstract:
General analytical expressions for densities of states of a lateral heterostructure, formed by the contact of two square semi-infinite lattices with single-band and two-band spectra, were obtained in the tight-binding approximation by the Green's function method. The semi-elliptical density of states was used for numerical estimates, and the model of two interacting dimers was proposed to estimate the charge transfer. Application of this approach to description of lateral epitaxial and graphene-like heterostructures is discussed.
\Bibitem{Dav18}
\by S.~Yu.~Davydov
\paper Simple models of lateral heterostructures
\jour Fizika Tverdogo Tela
\yr 2018
\vol 60
\issue 7
\pages 1389--1396
\mathnet{http://mi.mathnet.ru/ftt9141}
\crossref{https://doi.org/10.21883/FTT.2018.07.46129.015}
\elib{https://elibrary.ru/item.asp?id=35269480}
\transl
\jour Phys. Solid State
\yr 2018
\vol 60
\issue 7
\pages 1405--1412
\crossref{https://doi.org/10.1134/S1063783418070089}
Linking options:
https://www.mathnet.ru/eng/ftt9141
https://www.mathnet.ru/eng/ftt/v60/i7/p1389
This publication is cited in the following 6 articles:
Mamode Malik, “Lattice Green/Neumann function for the 2D Laplacian operator defined on square lattice on cylinders, tori and other geometries with some applications”, J. Phys. A: Math. Theor., 56:21 (2023), 215202
S. Yu. Davydov, “A chainlike model of the zigzag edge decoration of graphene”, Semiconductors, 53:1 (2019), 78–84
S. Yu. Davydov, “On decoration of a zigzag edge of epitaxial graphene”, Phys. Solid State, 61:1 (2019), 48–55
S. Yu. Davydov, “On the decoration of zigzag edges of an epitaxial graphene nanoribbon”, Phys. Solid State, 61:3 (2019), 480–487
S. Yu. Davydov, “Cluster model of lateral graphene-like heterostructure: estimates of charge transfer”, Phys. Solid State, 60:9 (2018), 1865–1873
S. Yu. Davydov, “A chain model of a zigzag contact of lateral graphene-like heterostructures”, Tech. Phys. Lett., 44:11 (2018), 976–979