Cloaking two-dimensional fermions
Abstract
A cloaking theory for a two-dimensional spin-(1/2) fermion is proposed. It is shown that the spinor of the two-dimensional fermion can be cloaked perfectly through controlling the fermion's energy and mass in a specific manner moving in an effective vector potential inside a cloaking shell. Different from the cloaking of three-dimensional fermions, the scaling function that determines the invisible region is uniquely determined by a nonlinear equation. It is also shown that the efficiency of the cloaking shell is unaltered under the Aharonov-Bohm effect.
- Authors:
-
- Department of Physics, National Sun Yat-sen University, Kaohsiung, Taiwan (China)
- Publication Date:
- OSTI Identifier:
- 22068769
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; AHARONOV-BOHM EFFECT; EFFICIENCY; ELECTRONIC STRUCTURE; FERMIONS; MASS; NONLINEAR PROBLEMS; POTENTIALS; SCALING; SPIN; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; VECTORS
Citation Formats
Lin, De-Hone. Cloaking two-dimensional fermions. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.033624.
Lin, De-Hone. Cloaking two-dimensional fermions. United States. https://doi.org/10.1103/PHYSREVA.84.033624
Lin, De-Hone. 2011.
"Cloaking two-dimensional fermions". United States. https://doi.org/10.1103/PHYSREVA.84.033624.
@article{osti_22068769,
title = {Cloaking two-dimensional fermions},
author = {Lin, De-Hone},
abstractNote = {A cloaking theory for a two-dimensional spin-(1/2) fermion is proposed. It is shown that the spinor of the two-dimensional fermion can be cloaked perfectly through controlling the fermion's energy and mass in a specific manner moving in an effective vector potential inside a cloaking shell. Different from the cloaking of three-dimensional fermions, the scaling function that determines the invisible region is uniquely determined by a nonlinear equation. It is also shown that the efficiency of the cloaking shell is unaltered under the Aharonov-Bohm effect.},
doi = {10.1103/PHYSREVA.84.033624},
url = {https://www.osti.gov/biblio/22068769},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2011},
month = {Thu Sep 15 00:00:00 EDT 2011}
}
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