Confinement of Interchain Hopping by Umklapp Scattering in Two-Coupled Chains

TL;DR

This paper investigates how umklapp scattering influences interchain hopping in a two-chain electron system, revealing that strong umklapp scattering can confine electrons to individual chains by renormalizing interchain hopping to zero.

Contribution

It demonstrates, using renormalization group analysis, that umklapp scattering can induce a confinement transition by suppressing interchain hopping in half-filled electron chains.

Findings

Interchain hopping is suppressed when the umklapp-induced gap exceeds a critical value.

A phase diagram illustrates the confinement transition depending on hopping and gap.

Correlation gaps influence metallic and insulating states in organic conductors.

Abstract

The effect of umklapp scattering on interchain hopping has been investigated for two-coupled chains of interacting electrons with half-filled band. By analyzing in terms of renormalization group method, we have found that interchain hopping is renormalized to zero and is confined when a gap induced by umklapp scattering becomes larger than a critical value. From a phase diagram calculated on a plane of the interchain hopping and the gap, we discuss a role of the correlation gap which has been studied in metallic state at temperatures above spin density wave state in organic conductors.