Regular Article

Spectrum and normalized modes of acoustic phonons in multilayer nitride-based nanostructure

¹ Ternopil Ivan Puluj National Technical University, 56 Ruska str, Ternopil 46001, Ukraine
² Sorbonne Universites, ESPCI-LPEM, 10 rue Vauquelin, 75231 Paris, France

^a e-mail: boyko.i.v.theory@gmail.com

Received: 12 December 2019
Published online: 25 March 2020

Abstract

Using the model of an elastic continuum, precise analytical solutions of the equations of motion are established and a theory of the spectrum and components of the displacement field of acoustic phonons is developed for a two-well resonant-tunneling nanostructure with AlN – quantum barriers and GaN∕Al_xGa_1−xN – quantum wells. For the experimentally realised nanostructure – the active zone of a quantum cascade detector – depending on its geometric parameters, the spectrum of acoustic phonons and normalized components of the displacement fields were calculated.