Resumo

MAMANI C, Evaristo; CALCINA-NOGALES, Marcelo  e  SANJINES CASTEDO, Diego. Effective Hamiltonian for a tight-binding square lattice and its relation to a two-mesh LC circuit with discrete charge. Revista Boliviana de Física [online]. 2021, vol.38, n.38, pp.15-26. ISSN 1562-3823.

Abstract We consider an extended tight-binding Hamiltonian function comprising nearest and next-to-nearest neighbor interactions for a charged particle hopping in a square lattice in the presence of a static arbitrary field and a rapidly oscillating uniform field with frequency ω. The application of the semiclassical method and the Kapitza's method for time-averaging up to O(ω^-2) yields an effective (time independent) Hamiltonian function with long range hopping elements that depend on the parameters of the external fields. By controlling these parameters we can engineer the interactions in such a way as to emulate a different physical system, namely, a two-mesh LC circuit with discrete charge

Palavras-chave : Tight-binding method; semiclassical model; mesoscopic systems.

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