Back to Search
Start Over
Extended Hubbard model for mesoscopic transport in donor arrays in silicon
- Source :
- Physical Review B. 96
- Publication Year :
- 2017
- Publisher :
- American Physical Society (APS), 2017.
-
Abstract
- Arrays of dopants in silicon are promising platforms for the quantum simulation of the Fermi-Hubbard model. We show that the simplest model with only on-site interaction is insufficient to describe the physics of an array of phosphorous donors in silicon due to the strong intersite interaction in the system. We also study the resonant tunneling transport in the array at low temperature as a mean of probing the features of the Hubbard physics, such as the Hubbard bands and the Mott gap. Two mechanisms of localization which suppresses transport in the array are investigated: The first arises from the electron-ion core attraction and is significant at low filling; the second is due to the sharp oscillation in the tunnel coupling caused by the intervalley interference of the donor electron's wave function. This disorder in the tunnel coupling leads to a steep exponential decay of conductance with channel length in one-dimensional arrays, but its effect is less prominent in two-dimensional ones. Hence, it is possible to observe resonant tunneling transport in a relatively large array in two dimensions.
- Subjects :
- Physics
Mesoscopic physics
Condensed Matter - Mesoscale and Nanoscale Physics
Hubbard model
Condensed matter physics
Silicon
FOS: Physical sciences
Quantum simulator
chemistry.chemical_element
02 engineering and technology
Electron
021001 nanoscience & nanotechnology
01 natural sciences
chemistry
Quantum dot
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
Condensed Matter::Strongly Correlated Electrons
Exponential decay
010306 general physics
0210 nano-technology
Quantum tunnelling
Subjects
Details
- ISSN :
- 24699969 and 24699950
- Volume :
- 96
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi.dedup.....cdb573555478a11f6091dbe879cc328a