Bound states in continuum: Quantum dots in a quantum well

Nikola Prodanović; Vitomir Milanović; Zoran Ikonić; Dragan Indjin; Paul Harrison

doi:10.1016/j.physleta.2013.05.051

Bound states in continuum: Quantum dots in a quantum well

Nikola Prodanović, Vitomir Milanović, Zoran Ikonić, Dragan Indjin, Paul Harrison

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We report on the existence of a bound state in the continuum (BIC) of quantum rods (QR). QRs are novel elongated InGaAs quantum dot nanostructures embedded in the shallower InGaAs quantum well. BIC appears as an excited confined dot state and energetically above the bottom of a well subband continuum. We prove that high height-to-diameter QR aspect ratio and the presence of a quantum well are indispensable conditions for accommodating the BIC. QRs are unique semiconductor nanostructures, exhibiting this mathematical curiosity predicted 83 years ago by Wigner and von Neumann.

Original language	English
Pages (from-to)	2177-2181
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	377
Issue number	34-36
Early online date	28 May 2013
DOIs	https://doi.org/10.1016/j.physleta.2013.05.051
Publication status	Published - 1 Nov 2013
Externally published	Yes

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title = "Bound states in continuum: Quantum dots in a quantum well",

abstract = "We report on the existence of a bound state in the continuum (BIC) of quantum rods (QR). QRs are novel elongated InGaAs quantum dot nanostructures embedded in the shallower InGaAs quantum well. BIC appears as an excited confined dot state and energetically above the bottom of a well subband continuum. We prove that high height-to-diameter QR aspect ratio and the presence of a quantum well are indispensable conditions for accommodating the BIC. QRs are unique semiconductor nanostructures, exhibiting this mathematical curiosity predicted 83 years ago by Wigner and von Neumann.",

keywords = "Bound state in continuum, Quantum dot, Quantum well",

author = "Nikola Prodanovi{\'c} and Vitomir Milanovi{\'c} and Zoran Ikoni{\'c} and Dragan Indjin and Paul Harrison",

note = "Funding Information: N.P. acknowledges the support in part by the University of Leeds Fully Funded International Research Scholarships program and in part by the Ministry of Education and Science, Republic of Serbia , Scholarship program for students studying at the worldʼs leading universities. V.M. acknowledges the support by Ministry of Education and Science, Republic of Serbia (Project III45010 ). Authors acknowledge support of NATO Science for Peace and Security project EAP.SFPP 984068 and European Cooperation in Science and Technology (COST) Actions BM1205 and MP1204 . ",

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doi = "10.1016/j.physleta.2013.05.051",

language = "English",

volume = "377",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - Bound states in continuum

T2 - Quantum dots in a quantum well

AU - Prodanović, Nikola

AU - Milanović, Vitomir

AU - Ikonić, Zoran

AU - Indjin, Dragan

AU - Harrison, Paul

N1 - Funding Information: N.P. acknowledges the support in part by the University of Leeds Fully Funded International Research Scholarships program and in part by the Ministry of Education and Science, Republic of Serbia , Scholarship program for students studying at the worldʼs leading universities. V.M. acknowledges the support by Ministry of Education and Science, Republic of Serbia (Project III45010 ). Authors acknowledge support of NATO Science for Peace and Security project EAP.SFPP 984068 and European Cooperation in Science and Technology (COST) Actions BM1205 and MP1204 .

PY - 2013/11/1

Y1 - 2013/11/1

N2 - We report on the existence of a bound state in the continuum (BIC) of quantum rods (QR). QRs are novel elongated InGaAs quantum dot nanostructures embedded in the shallower InGaAs quantum well. BIC appears as an excited confined dot state and energetically above the bottom of a well subband continuum. We prove that high height-to-diameter QR aspect ratio and the presence of a quantum well are indispensable conditions for accommodating the BIC. QRs are unique semiconductor nanostructures, exhibiting this mathematical curiosity predicted 83 years ago by Wigner and von Neumann.

AB - We report on the existence of a bound state in the continuum (BIC) of quantum rods (QR). QRs are novel elongated InGaAs quantum dot nanostructures embedded in the shallower InGaAs quantum well. BIC appears as an excited confined dot state and energetically above the bottom of a well subband continuum. We prove that high height-to-diameter QR aspect ratio and the presence of a quantum well are indispensable conditions for accommodating the BIC. QRs are unique semiconductor nanostructures, exhibiting this mathematical curiosity predicted 83 years ago by Wigner and von Neumann.

KW - Bound state in continuum

KW - Quantum dot

KW - Quantum well

UR - https://www.scopus.com/pages/publications/84880300240

U2 - 10.1016/j.physleta.2013.05.051

DO - 10.1016/j.physleta.2013.05.051

M3 - Article

AN - SCOPUS:84880300240

SN - 0375-9601

VL - 377

SP - 2177

EP - 2181

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 34-36

ER -

Bound states in continuum: Quantum dots in a quantum well

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