Fractional charge in transport through a 1D correlated insulator of finite length

Details Fractional charge in transport through a 1D correlated insulator of finite length Fractional charge in transport through a 1D correlated insulator of finite length

1998-06-10

arxiv.org/abs/cond-mat/9806136v1

Physics

Condensed Matter

5 twocolumn pages in RevTex, no figures

Scientific paper

10.1103/PhysRevLett.83.1822

Transport through a one channel wire of length $L$ confined between two leads is examined when the 1D electron system has an energy gap $2M$: $M > T_L \equiv v_c/L$ induced by the interaction in charge mode ($v_c$: charge velocity in the wire). In spinless case the transformation of the leads electrons into the charge density wave solitons of fractional charge $q$ entails a non-trivial low energy crossover from the Fermi liquid behavior below the crossover energy $T_x \propto \sqrt{T_L M} e^{-M /[T_L(1-q^2)]}$ to the insulator one with the fractional charge in current vs. voltage, conductance vs. temperature, and in shot noise. Similar behavior is predicted for the Mott insulator of filling factor $\nu = integer/(2 m')$.

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