Search for quantum dimer phases and transitions in a frustrated spin ladder

TL;DR

This study uses numerical methods to investigate the existence of a columnar dimer phase in a frustrated spin ladder, finding no evidence for such a phase despite theoretical predictions.

Contribution

The paper provides a comprehensive numerical analysis that challenges previous theoretical predictions of a columnar dimer phase in the frustrated spin ladder.

Findings

No support for columnar dimer phase in the studied spin ladder.

Numerical results contradict recent bosonization theory predictions.

Finite-size scaling techniques were crucial in reaching conclusions.

Abstract

A two-leg spin-1/2 ladder with diagonal interactions is investigated numerically. We focus our attention on the possibility of columnar dimer phase, which was recently predicted based on a reformulated bosonization theory. By using density matrix renormalization group technique and exact diagonalization method, we calculate columnar dimer order parameter, spin correlation on a rung, string order parameters, and scaled excitation gaps. Carefully using various finite-size scaling techniques, our results show no support for the existence of columnar dimer phase in the spin ladder under consideration.