Influence of an inter-chain coupling on spiral ground-state correlations in frustrated spin-1/2 J1-J2 Heisenberg chains

TL;DR

This paper studies how inter-chain coupling affects spiral ground-state correlations in a frustrated spin-1/2 J1-J2 Heisenberg model, revealing the transition point and a formula relating pitch angle to frustration.

Contribution

It introduces a detailed analysis of inter-chain coupling effects on spiral correlations and provides an empirical formula linking pitch angle to frustration parameter.

Findings

Identifies the transition point between commensurate and incommensurate states.

Derives a simple empirical formula for the quantum pitch angle.

Analyzes the impact of inter-chain coupling on ground-state properties.

Abstract

We investigate the influence of an inter-chain coupling on the spiral ground state correlations of a spin-1/2 Heisenberg model consisting of a two-dimensional array of coupled chains with nearest (J1) and frustrating next-nearest neighbor (J2) in-chain exchange couplings. Using the coupled-cluster method we calculate the transition point between the commensurate and the incommensurate (spiral) ground state as well as the quantum pitch angle of the spiral ground state. In addition, we provide a simple empirical formula which describes the relation between the quantum pitch angle and the frustration parameter J2/J1.