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Volumn 60, Issue 15, 1999, Pages 10668-10671

Nonadiabatic noncyclic geometric phase and persistent current in one-dimensional rings

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EID: 0000566590     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.10668     Document Type: Article
Times cited : (12)

References (30)
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  • 23
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    • The wave function in a ring satisfies the relation (Formula presented) we therefore have (Formula presented) according to the Bloch theorem. As a result, (Formula presented) for (Formula presented) if ever (Formula presented) which is satisfied in the models addressed in the present paper.
    • The wave function in a ring satisfies the relation (Formula presented) we therefore have (Formula presented) according to the Bloch theorem. As a result, (Formula presented) for (Formula presented) if ever (Formula presented) which is satisfied in the models addressed in the present paper.
  • 25
    • 21144467387 scopus 로고
    • The necessary and sufficient condition for the existence of cyclic evolution for an arbitrary state in a closed system is that the spectrum of the system can be represented as (Formula presented) where (Formula presented) is an integer, (Formula presented) and (Formula presented) is real. See A.N. Seleanyova, J. Phys. A 26, 981 (1993).
    • (1993) J. Phys. A , vol.26 , pp. 981
    • Seleanyova, A.N.1
  • 26
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    • Some specific states superposed linearly by no more than two eigenstates may follow a cyclic evolution regardless of the spectrum.
    • Some specific states superposed linearly by no more than two eigenstates may follow a cyclic evolution regardless of the spectrum.
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    • Yi-Chang Zhou, Hua-Zhong Li, and Xun Xue, Phys. Rev. B 49, 14 010 (1994).
    • (1994) Phys. Rev. B , vol.49 , pp. 14 010
  • 29
    • 85037914611 scopus 로고    scopus 로고
    • In the case of (Formula presented) the energy Eq. (14) can be written as (Formula presented)It is clear that (Formula presented) Meanwhile Eq. (15) becomes (Formula presented)Therefore the currents carried by electrons in the completely filled levels (Formula presented) and (Formula presented) should be canceled.
    • In the case of (Formula presented) the energy Eq. (14) can be written as (Formula presented)It is clear that (Formula presented) Meanwhile Eq. (15) becomes (Formula presented)Therefore the currents carried by electrons in the completely filled levels (Formula presented) and (Formula presented) should be canceled.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.