2015/02/27 by M. A. Novotny, Novotny, M. A.
Computer Science · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Quantum-Dot Cellular Automata #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.1502.07814
14 pages, 4 figures
arxiv created 2015/02/27 · openalex publication_date 2015/02/27 · arxiv updated 2015/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum dragon segments are nanodevices that have energy-independent total transmission of electrons. At the level of the single-band tight-binding model a nanodevice is viewed as a weighted undirected graph, with a vertex weight given by the on-site energy and the edge weight given by the tight-binding hopping parameter. A quantum dragon is a weighted undirected graph which when connected to idealized semi-infinite input and output leads, has the electron transmission probability \cal T(E)=1 for all electron energies E. The probability \cal T(E) is obtained from the solution of the time-independent Schrödinger equation. A graph must have finely tuned tight-binding parameters in order to have \cal T(E)=1. This paper addresses classes of weighted graphs which can be tuned, by adjusting a small fraction of the total weights, to be a quantum dragon. We prove that with proper tuning any nanodevice can be a quantum dragon. Three prescriptions are presented to tune a weighted graph into a quantum dragon nanodevice. The implications of the prescriptions for physical nanodevices is discussed.