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Volumn 82, Issue 5, 2010, Pages

Conductivity and tunneling density of states in granular Cr films

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EID: 77957335556     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.054203     Document Type: Article
Times cited : (29)

References (36)
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    • It should be aware that the σ∞-exp (√ T0 /T ) dependence can alternatively and satisfactorily be explained by the conductivity theory of, 10.1103/PhysRevLett.31.44. Further experiments to critically discriminate the microscopic origins of this temperature behavior in the insulating regime would be highly meaningful.
    • It should be aware that the σ ∞ - exp (√ T 0 / T) dependence can alternatively and satisfactorily be explained by the conductivity theory of P. Sheng, B. Abeles, and Y. Arie, Phys. Rev. Lett. 31, 44 (1973) 10.1103/PhysRevLett.31.44
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    • Alternatively, for spherical grains of radius a separated by insulating barriers with average thickness s, the charging energy is predicted to be Ec =2s e2 / εr ε0 a (a/2+s ), where ε0 is the permittivity of vacuum and εr is the dielectric constant of the insulating barrier (Refs.).
    • Alternatively, for spherical grains of radius a separated by insulating barriers with average thickness s, the charging energy is predicted to be E c = 2 s e 2 / ε r ε 0 a (a / 2 + s), where ε 0 is the permittivity of vacuum and ε r is the dielectric constant of the insulating barrier (Refs.)
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    • 0009793546 scopus 로고
    • -.
    • Taking ε r ≈ 13 for Cr 2 O 3 [P. H. Fang and W. S. Brower, Phys. Rev. 129, 1561 (1963)] 10.1103/PhysRev.129.1561
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    • Fang, P.H.1    Brower, W.S.2
  • 34
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    • Using D=1.4 cm2 /s, we obtain the thermal diffusion length LT =√ Dh/ kB T ≈33/√T nm in the sample A. Therefore, in terms of the EEI effect, the Cr electrode should be 3D at temperatures above ≈1 K. If we insisted in plotting resistance versus temperature for the sample B (D), a dependence R∞lnT is observed in essentially the same temperature interval shown in Fig. [Fig. ]. However, the measured resistance rise is more than a factor of 3 as could be expected from the 2D EEI and WL effects, taking the sheet resistance listed in Table into calculation.
    • Using D = 1.4 cm 2 / s, we obtain the thermal diffusion length L T = √ D h/ k B T ≈ 33 / √ T nm in the sample A. Therefore, in terms of the EEI effect, the Cr electrode should be 3D at temperatures above ≈ 1 K. If we insisted in plotting resistance versus temperature for the sample B (D), a dependence R ∞ ln T is observed in essentially the same temperature interval shown in Fig. [Fig.]. However, the measured resistance rise is more than a factor of 3 as could be expected from the 2D EEI and WL effects, taking the sheet resistance listed in Table into calculation.
  • 36
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    • Previously, a G (V) ∞√V dependence had been observed in granular Al films, 10.1103/PhysRevLett.46.137. However, the authors interpreted their results in terms of then available Altshuler-Aronov theory of weakly disordered homogeneous conductors (Ref.).
    • Previously, a G (V) ∞ √ V dependence had been observed in granular Al films, R. C. Dynes and J. P. Garno, Phys. Rev. Lett. 46, 137 (1981) 10.1103/PhysRevLett.46.137
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 137
    • Dynes, R.C.1    Garno, J.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.