Quantum beating in ring conductance: Observation of spin chiral states and Berry's phase

Europhysics Letters

Volumn 66, Issue 6, 2004, Pages 826-832

  Yang, M J ^a   Yang, C H ^b   Lyanda Geller, Y B ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3542999970     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-10263-3     Document Type: Article

References (26)

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17. Detailed study of transmission of spin chiral states through contacts and its influence on Berry's phase in tunneling conductance experiments will be presented elsewhere, KISELEV A. A. and LYANDA-GELLER Y. B., unpublished.
18. The collimating effect, a classic example of inertia theorem, has been demonstrated in mesoscopic systems, see, e.g., TIMP G. et al., Phys. Rev. Lett., 60 (1988) 2081; FORD C. J. B. et al., Phys. Rev. Lett., 62 (1989) 2724. A classical analogy to the collimating effect is like swinging a bucket of water in circle; the water will not leak out of the bucket if the revolution speed is high (i.e., high momentum modes in our OCC rings do not leak out to the current lead, and do not contribute to interference conductance pattern). The other way to look at the collimating effect is that in our OCC geometry, although all modes are present in both the lead and the ring regions, the smaller the longitudinal momentum of a mode is, the longer it dwells at the contact region and. as a result, the more chances it will have to be scattered into the ring/lead (larger coupling coefficient). Moreover, for the same mode with the smaller longitudinal momentum, its larger transverse momentum (since all modes have the same Fermi energy) further enhances the probability of being reflected into the ring/lead.
19. The collimating effect, a classic example of inertia theorem, has been demonstrated in mesoscopic systems, see, e.g., TIMP G. et al., Phys. Rev. Lett., 60 (1988) 2081; FORD C. J. B. et al., Phys. Rev. Lett., 62 (1989) 2724. A classical analogy to the collimating effect is like swinging a bucket of water in circle; the water will not leak out of the bucket if the revolution speed is high (i.e., high momentum modes in our OCC rings do not leak out to the current lead, and do not contribute to interference conductance pattern). The other way to look at the collimating effect is that in our OCC geometry, although all modes are present in both the lead and the ring regions, the smaller the longitudinal momentum of a mode is, the longer it dwells at the contact region and. as a result, the more chances it will have to be scattered into the ring/lead (larger coupling coefficient). Moreover, for the same mode with the smaller longitudinal momentum, its larger transverse momentum (since all modes have the same Fermi energy) further enhances the probability of being reflected into the ring/lead.
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24. AROVAS D. P. and LYANDA-GELLER Y. B., Phys. Rev. B, 57 (1998) 12302. Generalization for unequal amplitudes is straightforward, and a different assumption of η will not affect our conclusions.
25. -11 eVm and 0.34T, respectively.
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