Two-dimensional Mott-Hubbard electrons in an artificial honeycomb lattice

Science

Volumn 332, Issue 6034, 2011, Pages 1176-1179

  Singha, A ^a,g   Gibertini, M ^a   Karmakar, B ^a   Yuan, S ^b   Polini, M ^a,c   Vignale, G ^c,d   Katsnelson, M I ^b   Pinczuk, A ^e   Pfeiffer, L N ^f   West, K W ^f   Pellegrini, V ^a  

^a ISTITUTO NANOSCIENZE CNR   (Italy)

^b RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^c INSTITUTE OF THEORETICAL PHYSICS   (China)

^d UNIVERSITY OF MISSOURI   (United States)

^e Department of Earth and Environmental Sciences   (United States)

^f Princeton University   (United States)

^g BOSE INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

GALLIUM ARSENIDE; NANOMATERIAL;

ARSENIDE GROUP; CRYSTAL STRUCTURE; ELECTRIC FIELD; ELECTRON; GALLIUM; MAGNETIC FIELD; NUMERICAL MODEL; QUANTUM MECHANICS;

ARTICLE; ARTIFICIAL HONEYCOMB LATTICE; CHEMICAL INTERACTION; COULOMB INTERACTION; CRYSTAL STRUCTURE; CYCLOTRON; ELECTRON; ELECTRON TRANSPORT; GEOMETRY; LIGHT SCATTERING; MAGNETIC FIELD; NANOFABRICATION; PRIORITY JOURNAL; QUANTUM CHEMISTRY; SEMICONDUCTOR; SOLID STATE; STRUCTURE ANALYSIS;

EID: 79957932832     PISSN: 00368075     EISSN: 10959203     Source Type: Journal    
DOI: 10.1126/science.1204333     Document Type: Article

References (36)

1. N. W. Ashcroft, N. D. Mermin, Solid State Physics (Saunders College, Philadelphia, PA, 1976).
2. G. Kotliar, D. Vollhardt, Phys. Today 57, 53 (2004).
3. G. Kotliar et al., Rev. Mod. Phys. 78, 865 (2006).
4. D. Vollhardt, A. Avella, F. Mancini, AIP Conf. Proc. 1297, 339 (2010).
5. N. F. Mott, Proc. Phys. Soc. (London) A 62, 416 (1949).
6. J. Hubbard, Proc. Roy. Soc. (London) A 281, 401 (1964).
7. S. Raghu, X.-L. Qi, C. Honerkamp, S.-C. Zhang, Phys. Rev. Lett. 100, 156401 (2008).
8. Z. Y. Meng, T. C. Lang, S. Wessel, F. F. Assaad, A. Muramatsu, Nature 464, 847 (2010).
9. I. Buluta, F. Nori, Science 326, 108 (2009).
10. T. Byrnes, N. Y. Kim, K. Kusudo, Y. Yamamoto, Phys. Rev. B 78, 075320 (2008).
11. M. Gibertini, A. Singha, V. Pellegrini, M. Polini, G. Vignale, A. Pinczuk, L. N. Pfeiffer, K. W. West, Phys. Rev. B 79, 241406(R) (2009).
12. G. De Simoni et al., Appl. Phys. Lett. 97, 132113 (2010).
13. C.-H. Park, S. G. Louie, Nano Lett. 9, 1793 (2009).
14. C. Albrecht et al., Phys. Rev. Lett. 86, 147 (2001).
15. S. Melinte et al., Phys. Rev. Lett. 92, 036802 (2004).
16. Y. Zhang et al., Phys. Rev. Lett. 96, 136806 (2006).
17. J. G. Checkelsky, L. Li, N. P. Ong, Phys. Rev. Lett. 100, 206801 (2008).
18. A. J. M. Giesbers et al., Phys. Rev. B 80, 201403 (2009).
19. C. P. García et al., Phys. Rev. Lett. 95, 266806 (2005).
20. See supporting material on Science Online.
21. A. Pinczuk et al., Phys. Rev. Lett. 68, 3623 (1992).
22. For example, intra-dot excitations probed in arrays of isolated quantum dots display broad (several milli-electron volts) and weak transitions (23).
23. S. Kalliakos et al., Nat. Phys. 4, 467 (2008).
24. HB = U/ℏ.
25. M. I. Katsnelson, A. I. Lichtenstein, J. Phys. Condens. Matter 22, 382201 (2010).
26. K. Nomura, A. H. MacDonald, Phys. Rev. Lett. 96, 256602 (2006).
27. D. A. Abanin, P. A. Lee, L. S. Levitov, Phys. Rev. Lett. 96, 176803 (2006).
28. J. Alicea, M. P. A. Fisher, Phys. Rev. B 74, 075422 (2006).
29. V. P. Gusynin, V. A. Miransky, S. G. Sharapov, I. A. Shovkovy, Phys. Rev. B 74, 195429 (2006).
30. For a recent review, see, for example, (36).
31. D. S. L. Abergel, V. Apalkov, J. Berashevich, K. Ziegler, T. Chakraborty, Adv. Phys. 59, 261 (2010).
32. HB discussed above. This is, however, not consistent with the experimental data in Fig. 4, probably due to the relevance of disorder at low energies.
33. S. Yuan, H. De Raedt, M. I. Katsnelson, Phys. Rev. B 82, 115448 (2010).
34. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, I. Bloch, Nature 415, 39 (2002).
35. M. Lewenstein et al., Adv. Phys. 56, 243 (2007).
36. I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008).