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Volumn 70, Issue 23, 2004, Pages 1-9

Structural properties of electrons in quantum dots in high magnetic fields: Crystalline character of cusp states and excitation spectra

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CRYSTAL STRUCTURE; ELECTRON TRANSPORT; MAGNETIC FIELD; PROBABILITY; QUANTUM DOT; STRUCTURE ANALYSIS; THERMODYNAMICS;

EID: 13944258768     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.235319     Document Type: Article
Times cited : (49)

References (42)
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    • edited by R. E. Prange and S. M. Girvin (Springer, New York)
    • R. B. Laughlin, in The Quantum Hall Effect, edited by R. E. Prange and S. M. Girvin (Springer, New York, 1987), p. 233.
    • (1987) The Quantum Hall Effect , pp. 233
    • Laughlin, R.B.1
  • 13
    • 13944257435 scopus 로고    scopus 로고
    • note
    • In previous publications the RWM wave functions were also referred to as rotating-electron-molecule (REM) wave functions.
  • 14
    • 13944283033 scopus 로고    scopus 로고
    • note
    • The results in Figs. 1-5 were obtained without consideration of a confinement, and they are not influenced (high B) by inclusion of a parabolic confinement [Refs. 3, 6, and 17], For the influence of the confinement on the energies, see Refs. 3, 6, and 17.
  • 15
    • 13944255517 scopus 로고    scopus 로고
    • cond-mat/0401610 (unpublished)
    • C. Yannouleas and U. Landman, cond-mat/0401610 (unpublished).
    • Yannouleas, C.1    Landman, U.2
  • 17
    • 11444249983 scopus 로고    scopus 로고
    • C. Yannouleas and U. Landman, J. Phys.: Condens. Matter 14, L591 (2002); Phys. Rev. B 68, 035325 (2003).
    • (2003) Phys. Rev. B , vol.68 , pp. 035325
  • 20
    • 42749100671 scopus 로고    scopus 로고
    • G. S. Jeon, C.-C. Chang, and J. K. Jain, J. Phys.: Condens. Matter 16, L271 (2004); Phys. Rev. B 69, 241304 (2004).
    • (2004) Phys. Rev. B , vol.69 , pp. 241304
  • 29
    • 0000679805 scopus 로고    scopus 로고
    • C. Yannouleas and U. Landman, Phys. Rev. Lett. 82, 5325 (1999); Phys. Rev. B 61, 15895 (2000).
    • (2000) Phys. Rev. B , vol.61 , pp. 15895
  • 32
    • 85088488706 scopus 로고    scopus 로고
    • note
    • 1 corresponds to the (1, N-1) arrangement of the N-electron Wigner molecule. The (0, N) arrangement is found to be the global ground state for a limited range of values of the fractional filling factor v near v = 1.
  • 34
    • 85088492719 scopus 로고    scopus 로고
    • note
    • 0= 1/11.
  • 35
    • 13944269608 scopus 로고    scopus 로고
    • note
    • We remark that, at present, computational difficulties prohibit a straightforward extrapolation of energy to the thermodynamic limit as a function of N and v. This is the case especially for the disk geometry used here, which is advantageous for studies of crystalline structures, compared to the computationally easier spherical geometry.
  • 37
    • 13944254802 scopus 로고    scopus 로고
    • See p. 44 of Ref. 33
    • See p. 44 of Ref. 33.
  • 39
    • 1542448666 scopus 로고
    • For the subtleties of calculating in the presence of confinement the edge current from wave functions restricted in the lowest Landau level, see R. Rajaraman and S. L. Sondhi, Mod. Phys. Lett. B 8, 1065 (1994).
    • (1994) Mod. Phys. Lett. B , vol.8 , pp. 1065
    • Rajaraman, R.1    Sondhi, S.L.2
  • 42
    • 13944265313 scopus 로고    scopus 로고
    • note
    • We remark, however, that the stabilization energy and the gap Δ diminish as the magnetic field increases (see Figs. 6 and 8), and as a result the impurities become more efficient in influencing the WM for the lower fractional fillings (i.e., higher angular momenta).


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