Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2002-01-02
Phys. Rev. B 68, 035302 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages 4 fig. submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.68.035302
We consider the possibility of measuring non-equilibrium properties of the current correlation functions at high temperatures (and small bias). Through the example of the third cumulant of the current (${\cal{S}}_3$) we demonstrate that odd order correlation functions represent non-equilibrium physics even at small external bias and high temperatures. We calculate ${\cal{S}}_3=y(eV/T) e^2 I$ for a quasi-one-dimensional diffusive constriction. We calculate the scaling function $y$ in two regimes: when the scattering processes are purely elastic and when the inelastic electron-electron scattering is strong. In both cases we find that $y$ interpolates between two constants. In the low (high) temperature limit $y$ is strongly (weakly) enhanced (suppressed) by the electron-electron scattering.
Gefen Yuval
Gutman Dmitri B.
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