Self-trapping Transition Of Acoustic Polarons In Nanowires

Low-dimensional materials is closely linked with people’s life,therefore it causes a lot attention from by various researchers indifferent fields of attention. Because of its unique properties ofnano-materials, nano-materials that have a vital role in various fieldsof the connection of nano-electronic devices, optical fiber, integratedcircuits, solar cell and so on. The electron self-trapping will enable usto understand more deeply the nanowire electronic, for improving thepeople’s living standard has important significance.In this paper, the interaction between the electronic and acousticphonon and the self-trapping transition of polaron may be leded by theinteraction. We use Huybrechts-like variational method, by means ofelectron-phonon interaction Hamiltonian in nanowires, and apply twounitary transformations, and finally the ground-state energies of theacoustic polaron in cylindrical nanowires is calculated. And then wediscuss the relative questions of self-trapping transition for acousticpolaron in nanowires.The research results show that cylindrical nanowires acousticspolaron self-trapping criterion is larger than one-dimensionalacoustics polaron self-trapping standard, while is smaller than three-dimensional acoustics polaron self-trapping standard. So thedegree of difficulty of self-trapping transition of the acoustic polaronsin nanowires is between those in one-dimensional andthree-dimensional systems. The self-trapping transition of theacoustic polarons occurs easier with decreasing the radius of thenanowires. The results show that the self-trapping of the electron inAlN and GaN is possible to be observed in crystal nanowiresstructure.