Induced Luttinger Liquid Behavior in an Exactly Solvable Model of Stripes

We study an exactly solvable model describing a stripe consisting of a Toda array of $N$ anharmonic elastic chains sandwiched between two conducting chains. It is shown that the presence of a charge on one chain generates a gapless excitation branch (Luttinger liquid) on the other and leads to increase in the phonon frequencies.

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