Scaling Properties of the Two-Chain Model

TL;DR

This paper investigates the scaling behavior of a self-dual field-theoretical model of two coupled Luttinger chains, revealing a crossover to a massive phase with strong interchain correlations influenced by Luttinger liquid effects.

Contribution

It introduces a detailed analysis of the crossover to a sine-Gordon massive phase in a two-chain Luttinger model, emphasizing the role of Luttinger liquid effects in interchain hopping renormalization.

Findings

Identification of a crossover to a sine-Gordon massive phase

Interchain correlations become strongly developed in the massive phase

Renormalization of interchain hopping is governed by Luttinger liquid effects

Abstract

Scaling properties of a self-dual field-theoretical model, describing two weakl$spinless Luttinger chains, are studied. A crossover to a sine-Gordon massive phase, with strongly developed two-particleinterchain correlations, is described. It is argued that, in a wide range of the in-chain interaction, renormalization of the interchain hopping amplitude is determined by the Luttinger liquid effects.