Flexible quantum dots interacting with phonons: A quantum capacitive approach

Through a capacitive model, the properties of flexible quantum dots interacting with phonons are studied. Usual quantum dots properties like charging energy and bias window become deeply modified. In the phononic emission–absorption process, we show the existence of forbidden regions where neither absorption nor emission of phonons can happen. The forbidden regions are related to the regime where the phononic-band-size is smaller than the charging energy. Finally, we derive the conditions for electrical current existence through flexible quantum dots.