Abstract

Supercrystals made of periodically arranged semiconductor quantum dots (QDs) are promising structures for nanophotonics applications due to almost unlimited degrees of freedom enabling fine tuning of their optical responses. Here we demonstrate broad engineering opportunities associated with the possibility of tailoring the energy bands of excitons in two-dimensional quantum-dot supercrystals through the alteration in the QD arrangement. These opportunities offer an unprecedented control over the optical properties of the supercrystals, which may be used as a versatile material base for advanced photonics devices on the nanoscale.

© 2013 Optical Society of America

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  1. H. Lan and Y. Ding, Nano Today 7(2), 94 (2012).
    [CrossRef]
  2. C. R. Kagan, C. B. Murray, M. Nirmal, and M. G. Bawendi, Phys. Rev. Lett. 76, 1517 (1996).
    [CrossRef]
  3. M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
    [CrossRef]
  4. R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
    [CrossRef]
  5. R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
    [CrossRef]
  6. C. B. Murray, C. R. Kagan, and M. G. Bawendi, Science 270, 1335 (1995).
    [CrossRef]
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    [CrossRef]
  8. A. S. Baimuratov, V. K. Turkov, I. D. Rukhlenko, and A. V. Fedorov, Opt. Lett. 37, 4645 (2012).
    [CrossRef]
  9. M. P. Moloney, Yu. K. Gun’ko, and M. J. Kelly, Chem. Commun. 2007, 3900 (2007).
    [CrossRef]
  10. S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2012 (2)

2011 (2)

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

2007 (1)

M. P. Moloney, Yu. K. Gun’ko, and M. J. Kelly, Chem. Commun. 2007, 3900 (2007).
[CrossRef]

2005 (1)

D. V. Talapin and C. B. Murray, Science 310, 86 (2005).
[CrossRef]

2001 (3)

I. Vurgaftman, J. R. Meyer, and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).
[CrossRef]

A. D. Yoffe, Adv. Phys. 50, 1 (2001).
[CrossRef]

R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
[CrossRef]

1996 (2)

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

C. R. Kagan, C. B. Murray, M. Nirmal, and M. G. Bawendi, Phys. Rev. Lett. 76, 1517 (1996).
[CrossRef]

1995 (1)

C. B. Murray, C. R. Kagan, and M. G. Bawendi, Science 270, 1335 (1995).
[CrossRef]

Baimuratov, A. S.

Bandyopadhyay, S.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Banerjee, G.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Baugher, E.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Bawendi, M. G.

C. R. Kagan, C. B. Murray, M. Nirmal, and M. G. Bawendi, Phys. Rev. Lett. 76, 1517 (1996).
[CrossRef]

C. B. Murray, C. R. Kagan, and M. G. Bawendi, Science 270, 1335 (1995).
[CrossRef]

Bernstorff, S.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Bimberg, D.

R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
[CrossRef]

Bogdanovic-Radovic, I.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Buljan, M.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Chandrasekhar, M.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Chang, H. C.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Davydov, A. S.

A. S. Davydov, Theory of Molecular Excitons (McGraw-Hill, 1962).

Desnica, U. V.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Ding, Y.

H. Lan and Y. Ding, Nano Today 7(2), 94 (2012).
[CrossRef]

Drazic, G.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Eastman, J. A.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Fedorov, A. V.

Grundmann, M.

R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
[CrossRef]

Gun’ko, Yu. K.

M. P. Moloney, Yu. K. Gun’ko, and M. J. Kelly, Chem. Commun. 2007, 3900 (2007).
[CrossRef]

Harris, N.

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

Holy, V.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Jaksic, M.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Jones, M. R.

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

Jones, S.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Kagan, C. R.

C. R. Kagan, C. B. Murray, M. Nirmal, and M. G. Bawendi, Phys. Rev. Lett. 76, 1517 (1996).
[CrossRef]

C. B. Murray, C. R. Kagan, and M. G. Bawendi, Science 270, 1335 (1995).
[CrossRef]

Karlusic, M.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Kelly, M. J.

M. P. Moloney, Yu. K. Gun’ko, and M. J. Kelly, Chem. Commun. 2007, 3900 (2007).
[CrossRef]

Lan, H.

H. Lan and Y. Ding, Nano Today 7(2), 94 (2012).
[CrossRef]

Ledentsov, N. N.

R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
[CrossRef]

Lee, B.

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

Macfarlane, R. J.

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

Meyer, J. R.

I. Vurgaftman, J. R. Meyer, and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).
[CrossRef]

Miller, A. E.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Mirkin, C. A.

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

Moloney, M. P.

M. P. Moloney, Yu. K. Gun’ko, and M. J. Kelly, Chem. Commun. 2007, 3900 (2007).
[CrossRef]

Murray, C. B.

D. V. Talapin and C. B. Murray, Science 310, 86 (2005).
[CrossRef]

C. R. Kagan, C. B. Murray, M. Nirmal, and M. G. Bawendi, Phys. Rev. Lett. 76, 1517 (1996).
[CrossRef]

C. B. Murray, C. R. Kagan, and M. G. Bawendi, Science 270, 1335 (1995).
[CrossRef]

Nirmal, M.

C. R. Kagan, C. B. Murray, M. Nirmal, and M. G. Bawendi, Phys. Rev. Lett. 76, 1517 (1996).
[CrossRef]

Radic, N.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Ram-Mohan, L. R.

I. Vurgaftman, J. R. Meyer, and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).
[CrossRef]

Ribbat, Ch.

R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
[CrossRef]

Ricker, R. E.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Rukhlenko, I. D.

Salamon, K.

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Schatz, G. C.

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

Sellin, R.

R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
[CrossRef]

Talapin, D. V.

D. V. Talapin and C. B. Murray, Science 310, 86 (2005).
[CrossRef]

Turkov, V. K.

Vurgaftman, I.

I. Vurgaftman, J. R. Meyer, and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).
[CrossRef]

Yoffe, A. D.

A. D. Yoffe, Adv. Phys. 50, 1 (2001).
[CrossRef]

Yue, D.-F.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Yuzhakov, V.

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Adv. Phys. (1)

A. D. Yoffe, Adv. Phys. 50, 1 (2001).
[CrossRef]

Appl. Phys. Lett. (1)

R. Sellin, Ch. Ribbat, M. Grundmann, N. N. Ledentsov, and D. Bimberg, Appl. Phys. Lett. 78, 1207 (2001).
[CrossRef]

Chem. Commun. (1)

M. P. Moloney, Yu. K. Gun’ko, and M. J. Kelly, Chem. Commun. 2007, 3900 (2007).
[CrossRef]

J. Appl. Phys. (1)

I. Vurgaftman, J. R. Meyer, and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).
[CrossRef]

Nano Today (1)

H. Lan and Y. Ding, Nano Today 7(2), 94 (2012).
[CrossRef]

Nanotechnology (1)

S. Bandyopadhyay, A. E. Miller, H. C. Chang, G. Banerjee, V. Yuzhakov, D.-F. Yue, R. E. Ricker, S. Jones, J. A. Eastman, E. Baugher, and M. Chandrasekhar, Nanotechnology 7, 360 (1996).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. B (1)

M. Buljan, I. Bogdanovic-Radovic, M. Karlusic, U. V. Desnica, N. Radic, M. Jaksic, K. Salamon, G. Drazic, S. Bernstorff, and V. Holy, Phys. Rev. B 84, 155312 (2011).
[CrossRef]

Phys. Rev. Lett. (1)

C. R. Kagan, C. B. Murray, M. Nirmal, and M. G. Bawendi, Phys. Rev. Lett. 76, 1517 (1996).
[CrossRef]

Science (3)

R. J. Macfarlane, B. Lee, M. R. Jones, N. Harris, G. C. Schatz, and C. A. Mirkin, Science 334, 204 (2011).
[CrossRef]

D. V. Talapin and C. B. Murray, Science 310, 86 (2005).
[CrossRef]

C. B. Murray, C. R. Kagan, and M. G. Bawendi, Science 270, 1335 (1995).
[CrossRef]

Other (1)

A. S. Davydov, Theory of Molecular Excitons (McGraw-Hill, 1962).

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Figures (3)

Fig. 1.
Fig. 1.

Two-dimensional supercrystal made of spherical QDs arranged in an oblique lattice. The lattice is characterized by primitive vectors a and b.

Fig. 2.
Fig. 2.

Characteristic functions (a) fz(0,0), (b) f+(0,0), and (c) f(0,0) at point Γ of exciton energy spectrum in two-dimensional QD supercrystals with different parameters α and φ. (d) Diagram of two-dimensional lattice types in the αφ domain. Characteristic functions corresponding to points A, B, and C are plotted in Fig. 3. See text for details.

Fig. 3.
Fig. 3.

Density plots of characteristic functions (a), (d), (g) fz(kx,ky), (b), (e), (h) f+(kx,ky), and (c), (f), (i) f(kx,ky) in the first Brillouin zone of a two-dimensional QD supercrystal with oblique Bravais lattice for parameter sets (α,φ) corresponding to points A, B, and C in Fig. 2(d). Filled circles , diamonds , and asterisks show, respectively, maxima, minima, and saddle points in the exciton energy spectrum.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Eν(kx,ky)=ΔE+E0fν(kx,ky),
fz(kx,ky)=(a/r)3cos(kr),
f±(kx,ky)=fz/2±δ,
δ2=[3a3(x2y2)2r5cos(kr)]2+[3a3xyr5cos(kr)]2.

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