title: All-Phononic Digital Transistor on the Basis of Gap-Soliton Dynamics in an Anharmonic Oscillator Ladder.
abstract: A conceptual mechanism of amplification of phonons by phonons on the basis of a nonlinear band-gap transmission (supratransmission) phenomenon is presented. As an example, a system of weakly coupled chains of anharmonic oscillators is considered. One (source) chain is driven harmonically by a boundary with a frequency located in the upper band close to the band edge of the ladder system. Amplification happens when a second (gate) chain is driven by a small signal in the counterphase and with the same frequency as the first chain. If the total driving of both chains overcomes the band-gap transmission threshold, the large amplitude band-gap soliton emerges and the amplification scenario is realized. The mechanism is interpreted as the nonlinear superposition of evanescent and propagating nonlinear modes manifesting in a single or double soliton generation working in band-gap or bandpass regimes, respectively. The results could be straightforwardly generalized for all-optical or all-magnonic contexts and have all the promise of logic gate operations.
authors.affiliation: Physics Department, Javakhishvili Tbilisi State University, 3 Chavchavadze, 0179 Tbilisi, Georgia.
authors.forename: Merab
authors.initials: M
authors.lastname: Malishava
authors.affiliation: Physics Department, Javakhishvili Tbilisi State University, 3 Chavchavadze, 0179 Tbilisi, Georgia.
authors.forename: Ramaz
authors.initials: R
authors.lastname: Khomeriki
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010507:Periodicity; D060739:Phonons; D011789:Quantum Theory; D014173:Transistors, Electronic