期刊
PHYSICA B-CONDENSED MATTER
卷 407, 期 14, 页码 2803-2807出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physb.2012.04.031
关键词
Coulomb self-energy; Quantum Hall effects; Jellium model
资金
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1104795] Funding Source: National Science Foundation
We calculate exactly the Coulomb self-energy of a uniformly charged three-dimensional cylinder. We derive a general analytical formula which, in the limit of zero length, gives also the correct result for the Coulomb self-energy of a uniformly charged two-dimensional disk. The exact analytical expression that we derive can be used in models that incorporate finite thickness effects in studies of two-dimensional electronic systems in the fractional quantum Hall regime as well as models that describe cylindrical beams of charged particles, certain colloidal suspensions of charged rigid rod-like particles and biological systems consisting of macromolecules with cylindrical symmetry. (c) 2012 Elsevier B.V. All rights reserved.
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