| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Density Functional Theory of Composite Fermions |
| ZHANG Yin-Han1, SHI Jun-Ren2,3** |
1Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190
2International Center for Quantum Materials, Peking University, Beijing 100871
3Collaborative Innovation Center of Quantum Matter, Beijing 100871 |
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| Cite this article: |
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ZHANG Yin-Han, SHI Jun-Ren 2015 Chin. Phys. Lett. 32 037101 |
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Abstract We construct a density functional theory for two-dimensional electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the systems form composite fermion liquids. Our theory provides a systematic and rigorous approach to determine the properties of ground states in a fractional quantum Hall regime that is modified by artificial structures. We also propose a practical way to construct an approximated functional.
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Published: 26 February 2015
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| PACS: |
71.10.Pm
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(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
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73.43.-f
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(Quantum Hall effects)
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75.75.Cd
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(Fabrication of magnetic nanostructures)
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71.15.Mb
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(Density functional theory, local density approximation, gradient and other corrections)
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[1] Klitzing K V, Dorda G and Pepper M 1980 Phys. Rev. Lett. 45 494
[2] Tsui D C, Stormer H L and Gossard A C 1982 Phys. Rev. Lett. 48 1559
[3] Polini M, Guinea F, Lewenstein M, Manoharan H C and Pellegrini V 2009 Nat. Nanotechnol. 4 625
[4] Evers W H, Goris B, Bals S, Casavola M, Graaf J D, Roij R V, Dijkstra M and Vanmaekelbergh D 2013 Nano Lett. 13 2317
[5] Zhang Y and Shi J 2014 Phys. Rev. Lett. 113 016801
[6] Vignale G and Rasolt M 1987 Phys. Rev. Lett. 59 2360
Vignale G and Rasolt M 1988 Phys. Rev. B 37 10685
[7] Giuliani G F and Vignale G 2005 Quantum Theory of the Electron Liquid (Cambridge: Cambridge University Press) chap 7 p 390
[8] Heinonen O, Lubin M I and Johnson M J 1995 Phys. Rev. Lett. 75 4110
[9] Jain J K 2007 Composite Fermions (Cambridge: Cambridge University Press) chap 5 p 105
[10] Heinonen O 1998 Composite Fermions (Singapore: World Scientific)
[11] Kalmeyer V and Zhang S C 1992 Phys. Rev. B 46 9889
[12] Willett R L, Ruel R R, West K W and Pfeiffer L N 1993 Phys. Rev. Lett. 71 3846
[13] Halperin B I, Lee P A and Read N 1993 Phys. Rev. B 47 7312
[14] Shi J, Vignale G, Xiao D and Niu Q 2007 Phys. Rev. Lett. 99 197202 |
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