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On the relationship between the noise-induced persistent current and dephasing rate | V.E.Kravtsov
; B.L.Altshuler
; | Date: |
9 Oct 1999 | Journal: | Phys. Rev. Lett., 84 (2000) 3394 | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | Abstract: | AC noise in disordered conductors causes both dephasing of the electron wave functions and a DC current around a mesoscopic ring. We demonstrate that the dephasing rate tau_{phi}^{-1} in long wires and the DC current, induced by the same noise and averaged over an ensemble of small rings are connected. The ensemble-averaged h/2e flux harmonic of the current and the dephasing rate caused by the same uniform in space high frequency AC field are related in a remarkably simple way: tau_{phi}=C e. Here e is an electron charge, and the constant C depends on the Dyson symmetry class. For a pure potential disorder the current is diamagnetic C = -(4/pi) and in the presence of strong spin-orbit scattering it is paramagnetic C =(2/pi). The relationship seems to agree reasonably with experiments. This suggests that the two puzzles: anomalously large persistent current [L.P.Levy et al., Phys.Rev.Lett., v.64, 2074 (1990)] and the low-temperature saturation of the dephasing [P.Mohanty et al., Phys.Rev.Lett., v.78, 3366 (1997)] may have a common solution. | Source: | arXiv, cond-mat/9910144 | Services: | Forum | Review | PDF | Favorites |
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