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arxiv: 0804.4108 · v2 · pith:Y2E6JDS3new · submitted 2008-04-25 · ❄️ cond-mat.str-el

Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires

classification ❄️ cond-mat.str-el
keywords temperatureliquidluttingerpower-lawcloserconductanceend-coupledleads
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We study electronic transport through a one-dimensional, finite-length quantum wire of correlated electrons (Luttinger liquid) coupled at arbitrary position via tunnel barriers to two semi-infinite, one-dimensional as well as stripe-like (two-dimensional) leads, thereby bringing theory closer towards systems closer to setups realized in experiments. In particular, we compute the temperature dependence of the linear conductance $G$ of a system without bulk impurities. The appearance of new temperature scales introduced by the lengths of overhanging parts of the leads and the wire implies a $G(T)$ which is much more complex than the power-law behavior described so far for end-coupled wires. Depending on the precise setup the wide temperature regime of power-law scaling found in the end-coupled case is broken up in up to five fairly narrow regimes interrupted by extended crossover regions. Our results can be used to optimize the experimental setups designed for a verification of Luttinger liquid power-law scaling.

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