Spin-Charge Separation, Anomalous Scaling and the Coherence of Hopping in exactly solved Two Chain Models

TL;DR

This paper investigates how inter-chain hopping coherence in coupled one-dimensional Fermi liquids is influenced by interactions, revealing that coherence depends on the interplay of hopping and interactions, and can coexist with non-Fermi liquid behavior.

Contribution

It demonstrates that inter-chain hopping coherence is governed by the interplay of hopping and interactions, not just isolated chain spectral properties, in exactly solvable models.

Findings

Inter-chain hopping coherence depends on interaction and hopping interplay.

Interchain interaction enhances level splitting related to hopping.

Coherent hopping coexists with anomalous scaling and non-Fermi liquid behavior.

Abstract

The coherence of transport between two one-dimensional interacting Fermi liquids, coupled by single particle hopping and interchain interaction, is examined in the context of two exactly soluble models. It is found that the coherence of the inter-chain hopping depends on the interplay between inter-chain hopping and inter-chain interaction terms, and not simply on the ground state spectral properties of an isolated chain. Specifically, the splitting of levels in associated with interchain hopping in a $g_4$ soluble model is found to be enhanced by the introduction of interchain interaction. It is also shown that, for an exactly solvable model with both $g_2$ and $g_4$ interactions, coherent interchain hopping coexists with anomalous scaling and non-Fermi liquid behavior in the chain direction.