Crossover between High and Low Energy-States in Two-Coupled Chains of Tomonaga Model

TL;DR

This paper investigates how interchain hopping influences the energy crossover in two-coupled chains within the Tomonaga model, revealing the impact of one-dimensional fluctuations on phase behavior and response functions.

Contribution

It applies the renormalization group method to analyze the crossover phenomena and phase diagram in the two-coupled chains of the Tomonaga model, highlighting the role of fluctuations.

Findings

Crossover energy is reduced by one-dimensional fluctuations.

Phase diagram of charge density waves and superconductivity is mapped.

Interchain hopping effects are characterized across energy regimes.

Abstract

By applying the renormalization group method to two-coupled chains in the Tomonaga model, the role of interchain hopping has been studied in the entire energy region. The energy for a crossover from the perturbational regime to the relevant regime becomes smaller than that of the interchain hopping due to one-dimensional fluctuations of the mutual interaction. From the calculation of response functions for charge density waves and superconducting states, the phase diagram of dominant and subdominant states has been obtained in the plane of mutual interactions with fixed energy.