Numerical study of the frustrated ferromagnetic spin-1/2 chain

TL;DR

This paper uses exact diagonalization to explore the phase diagram of a frustrated ferromagnetic spin-1/2 chain, revealing a phase transition characterized by a magnetization jump and dimer order formation.

Contribution

It provides a detailed numerical analysis of the quantum phase transition and critical behavior in the frustrated ferromagnetic spin-1/2 chain using finite-size scaling.

Findings

Identified a phase transition from ferromagnetic to dimer-ordered phase.

Calculated the critical exponent of the ground state energy.

Confirmed numerical results align with other theoretical approaches.

Abstract

The ground state phase diagram of the frustrated ferromagnetic spin-1/2 chain is investigated using the exact diagonalization technique. It is shown that there is a jump in the spontaneous magnetization and the ground state of the system undergos to a phase transition from a ferromagnetic phase to a phase with dimer ordering between next-nearest-neighbor spins. Near the quantum transition point, the critical behavior of the ground state energy is analyzed numerically. Using a practical finite-size scaling approach, the critical exponent of the ground state energy is computed. Our numerical results are in good agreement with the results obtained by other theoretical approaches.