Related Experiment Video
Updated: Jun 1, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
Quantum transport through hierarchical structures
S Boettcher1, C Varghese, M A Novotny
1Department of Physics, Emory University, Atlanta, Georgia 30322, USA. sboettc@emory.edu
Abstract:
The transport of quantum electrons through hierarchical lattices is of interest because such lattices have some properties of both regular lattices and random systems. We calculate the electron transmission as a function of energy in the tight-binding approximation for two related Hanoi networks. HN3 is a Hanoi network with every site having three bonds. HN5 has additional bonds added to HN3 to make the average number of bonds per site equal to five. We present a renormalization group approach to solve the matrix equation involved in this quantum transport calculation. We observe band gaps in HN3, while no such band gaps are observed in linear networks or in HN5. We provide a detailed scaling analysis near the edges of these band gaps.
Related Concept Videos
Reynolds Transport Theorem
Short-distance Transport of Resources
Directionality of Nuclear Transport
The Quantum-Mechanical Model of an Atom
Energy to Drive Translocation
Generally, polypeptides are unfolded by two distinct...
Secondary Active Transport
