Bound states in the continuum in graphene quantum dot structures

Abstract

The existence of bound states in the continuum was predicted at the dawn of quantum mechanics by von Neumann and Wigner. In this work we discuss the mechanism of formation of these exotic states and the feasibility to observe them experimentally in symmetrical heterostructures composed by segments of graphene ribbons with different widths forming a graphene quantum dot. We identify the existence of bound states in the continuum in these graphene quantum dot systems by means of local density of states and electronic conductance calculations.

4 pages, 5 figures. To appear in EPL

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Cited by in corpus (32)

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• Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots
• Bound states in the continuum poisoned by Majorana fermions
• Electron Confinement Induced by Diluted Hydrogen-like Ad-atoms in Graphene Ribbons
• Klein Bound States in Single-Layer Graphene
• Bound states in and out of the continuum in nanoribbons with wider sections: A novel recursive S-matrix method
• Bound states in the continuum in a fluxonium qutrit
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• Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
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• Robust Topological Bound States in the Continuum in a Quantum Hall Bar with an Anti-dot
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