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Title: 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:
 [1]
  1. 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. doi:10.1103/PHYSREVA.84.033624.
Lin, De-Hone. Thu . "Cloaking two-dimensional fermions". United States. doi: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},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}