1-Dimensional behavior and sliding Luttinger liquid phase in a frustrated spin-1/2 crossed chain model: contribution of exact diagonalizations

TL;DR

This study uses exact diagonalizations to confirm the persistence of a sliding Luttinger liquid phase in a frustrated spin-1/2 crossed chain model across various couplings, clarifying phase boundaries and challenging previous coexistence claims.

Contribution

It provides detailed numerical evidence supporting the extended stability of the sliding Luttinger liquid phase and refines the understanding of phase boundaries in the model.

Findings

Sliding Luttinger liquid phase persists over a wide range of couplings.

Extended regions of plaquette valence bond crystal and Néel order are identified.

No evidence found for coexistence of these phases.

Abstract

Exact diagonalizations indicate that the effective 1-dimensional behavior (sliding Luttinger liquid phase) of the frustrated spin-1/2 crossed chain model, predicted by Starykh, Singh and Levine [Phys. Rev. Lett. 88, 167203 (2002)], persists for a wide range of transverse couplings. The extension of the other phases (plaquette valence bond crystal and N\'eel long range order) is precised. No clear indication of a coexistence of these two phases is found, at variance with a suggestion of Sachdev and Park (cond-mat/0108214).