Geodesic
Charge transfer on a~two-dimensional lattice with Tamm states
Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 433-450

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We consider the quantum dynamics of charge propagation over a two-dimensional lattice with impurity sites at the lattice edges. These sites simulate boundary $($Tamm$)$ states. We solve the nonstationary problem of the evolution of a quantum excitation over impurity sites at the lattice perimeter in the tight-binding approximation. We obtain the solution as an expansion in eigenfunctions of the unperturbed system Hamiltonian. We obtain analytically accurate results for the propagation of the wave function over impurity sites.
Keywords: Tamm state, charge transfer, quantum dynamics. 
@article{TMF_2019_198_3_a3,
     author = {V. N. Likhachev and G. A. Vinogradov},
     title = {Charge transfer on a~two-dimensional lattice with {Tamm} states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {433--450},
     publisher = {mathdoc},
     volume = {198},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a3/}
}
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V. N. Likhachev; G. A. Vinogradov. Charge transfer on a~two-dimensional lattice with Tamm states. Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 433-450. http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a3/