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

Abstract

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 $\nu =integer/(2m^{\prime })$.

5 twocolumn pages in RevTex, no figures

References in corpus (1)

• Transport through a 1D Mott-Hubbard insulator of finite length

Cited by in corpus (7)

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• Impurity pinning in transport through 1D Mott-Hubbard and spin gap insulators
• Conductance renormalization and conductivity of a multi-subband Tomonaga-Luttinger model