Lifshitz Transition Induced by Magnetic Field in Frustrated Two-Leg Spin-Ladder Systems

TL;DR

This paper investigates a Lifshitz transition in a frustrated two-leg spin-ladder system, revealing cusp singularities in magnetization curves caused by magnetic field-induced changes in Fermi points, using analytical and numerical methods.

Contribution

It demonstrates the occurrence of Lifshitz transition-like behavior in a frustrated spin-ladder system through combined analytical and numerical analysis.

Findings

Cusp singularities appear in magnetization curves due to frustration.

The transition is linked to changes in Fermi points in the bosonic dispersion.

Results help explain magnetization behavior in BiCu2PO6.

Abstract

The magnetization curve in a frustrated two-leg spin-ladder system is theoretically studied using both analytical and numerical methods. This spin system is mapped onto a hard-core boson system, which is composed of bond-operators describing the triplon excitation. By the analytical method using the mean-field theory on the bond-operators, we show that cusp singularities emerge in the magnetization curve as a function of a magnetic field due to the strong frustration. This originates from a change of number of Fermi points in the bosonic dispersion relation with the applied field. It is analogous to Lifshitz transition. This singularity is clarified by numerical calculation with the density-matrix renormalization-group method. Our results will be useful to understand the magnetization process observed in the frustrated two-leg spin-ladder compound BiCu2PO6.