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Volumn 59, Issue 19, 1999, Pages 12573-12578

Enlarged symmetry and coherence in arrays of quantum dots

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Indexed keywords


EID: 4243617712     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.12573     Document Type: Article
Times cited : (37)

References (44)
  • 1
    • 85037889679 scopus 로고    scopus 로고
    • Gordon Baym, Lectures on Quantum Mechanics (Benjamin/Cummings, Reading, MA, 1969), pp. 148–168.
    • Gordon Baym, Lectures on Quantum Mechanics (Benjamin/Cummings, Reading, MA, 1969), pp. 148–168.
  • 2
    • 85037873102 scopus 로고    scopus 로고
    • Claude Itzykson and Jean-Bernard Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980), pp. 513–519.
    • Claude Itzykson and Jean-Bernard Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980), pp. 513–519.
  • 10
    • 0000715254 scopus 로고    scopus 로고
    • The self-conjugate representation of SU(4) differs from the fundamental representation considered recently by Y. Yamashita, N. Shibata, and K. Ueda, Phys. Rev. B 58, 9114 (1998). There is one electron in the fundamental representation, which therefore has dimension 4 and corresponds to quarter filling. At half-filling there are the two electrons, and the representation is self-conjugate.
    • (1998) Phys. Rev. B , vol.58 , pp. 9114
    • Yamashita, Y.1    Shibata, N.2    Ueda, K.3
  • 11
    • 0000818466 scopus 로고    scopus 로고
    • A more precise calculation of the exchange constant (Formula presented) is presented in G. Burkard, D. Loss, and D. P. DiVincenzo, Phys. Rev. B 59, 2070 (1999).
    • (1999) Phys. Rev. B , vol.59 , pp. 2070
    • Burkard, G.1    Loss, D.2    DiVincenzo, D.P.3
  • 12
    • 85037878907 scopus 로고    scopus 로고
    • Spin-orbit splitting of the (Formula presented) states is (Formula presented) to (Formula presented) times smaller than (Formula presented) because the splitting is of order (Formula presented) where (Formula presented) is the fine-structure constant and (Formula presented) is the number of electrons in the dot [G. Baym, Lectures on Quantum Mechanics (Ref. 1), pp. 460–465].
    • Spin-orbit splitting of the (Formula presented) states is (Formula presented) to (Formula presented) times smaller than (Formula presented) because the splitting is of order (Formula presented) where (Formula presented) is the fine-structure constant and (Formula presented) is the number of electrons in the dot [G. Baym, Lectures on Quantum Mechanics (Ref. 1), pp. 460–465].
  • 21
    • 0000311307 scopus 로고
    • Perturbation in powers of (Formula presented) has been worked out for the SU(2) Hubbard model. See D. J. Klein and W. A. Seitz, Phys. Rev. B 8, 2236 (1973);
    • (1973) Phys. Rev. B , vol.8 , pp. 2236
    • Klein, D.J.1    Seitz, W.A.2
  • 27
    • 85037882772 scopus 로고    scopus 로고
    • The double-precision, vectorized, multiprocessor (Formula presented) code for the DMRG is run on a Cray EL-98 and J-916 computers [A. V. Onufriev and J. B. Marston (unpublished)].
    • The double-precision, vectorized, multiprocessor (Formula presented) code for the DMRG is run on a Cray EL-98 and J-916 computers [A. V. Onufriev and J. B. Marston (unpublished)].
  • 28
    • 85037896853 scopus 로고    scopus 로고
    • The completely dimerized state is an exact ground state of (Formula presented) as may be shown by rewriting (Formula presented) as a sum of projection operators.
    • The completely dimerized state is an exact ground state of (Formula presented) as may be shown by rewriting (Formula presented) as a sum of projection operators.
  • 37
    • 0029388979 scopus 로고
    • See, for instance, D. P. DiVincenzo, Science 270, 255 (1995);
    • (1995) Science , vol.270 , pp. 255
    • DiVincenzo, D.P.1
  • 43
    • 85037913989 scopus 로고    scopus 로고
    • See, for instance, Charles Kittel, Introduction to Solid State Physics (Wiley, New York, 1996).
    • See, for instance, Charles Kittel, Introduction to Solid State Physics (Wiley, New York, 1996).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.