Zero-energy states in graphene quantum dots and rings

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.84.155437· OSTI ID:21596903

Downing, C A; Stone, D A ^[1]; Portnoi, M E ^[1]

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1. School of Physics, University of Exeter, Stocker Road, Exeter EX4 4QL (United Kingdom)

We present exact analytical zero-energy solutions for a class of smooth-decaying potentials, showing that the full confinement of charge carriers in electrostatic potentials in graphene quantum dots and rings is indeed possible without recourse to magnetic fields. These exact solutions allow us to draw conclusions on the general requirements for the potential to support fully confined states, including a critical value of the potential strength and spatial extent.

• OSTI ID: 21596903
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 84, Issue 15; Other Information: DOI: 10.1103/PhysRevB.84.155437; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
CARBON
CHARGE CARRIERS
CONFINEMENT
EXACT SOLUTIONS
HONEYCOMB STRUCTURES
MAGNETIC FIELDS
QUANTUM DOTS
RINGS
ELEMENTS
MATHEMATICAL SOLUTIONS
MECHANICAL STRUCTURES
NANOSTRUCTURES
NONMETALS