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- W3158389385 abstract "This work is based on the Su-Schrieffer-Heeger model, which describes a system of non-interacting polarized fermions, i.e. without spin, moving in a one-dimensional optical superlattice with fixed boundary conditions. Starting from the Hamiltonian of the system in second quantization, in which the optical lattice has discretized the space, and taking into account that the basis that diagonalizes the kinetic energy is the one of momentum, we perform the discrete sine transform type-I, which respects the hard-wall boundary conditions of the system and allows us to expressour Hamiltonian in the momentum basis, in such a way that we can think that it is possible to extend the study to an arbitrary number of sites. Finally we apply the Bogoliubov-de Gennes formalism getting the dispersion relation and the bare vertex function where together they form the couplings matrix. By diagonalizing this matrix, we visualize the parameter set where the system hosts zero energy modes." @default.
- W3158389385 created "2021-05-10" @default.
- W3158389385 creator A5004264406 @default.
- W3158389385 creator A5015675131 @default.
- W3158389385 date "2020-08-22" @default.
- W3158389385 modified "2023-09-23" @default.
- W3158389385 title "Study of finite fermionic chains with edge modes using an appropriate momentum representation" @default.
- W3158389385 doi "https://doi.org/10.31349/suplrevmexfis.1.3.36" @default.
- W3158389385 hasPublicationYear "2020" @default.
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