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

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.

6 pages, 5 figures

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Cited by in corpus (10)

• Multipolar phase in frustrated spin-1/2 and 1 chains
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Spin parity and broken symmetry in finite spin-1/2 chains with frustrated exchange: quantum transition from high to low spin
• Entanglement and level crossings in frustrated ferromagnetic rings
• Magnetization plateaus of spin-$\frac{1}{2}$ system on a 5/7 skewed ladder
• Roles of easy-plane and easy-axis XXZ anisotropy and bond alternation on a frustrated ferromagnetic spin-$1/2$ chain
• Topological Phase Transition in the Extended Cluster Compass Ladder
• Quantum phases of spin-1 system on 3/4 and 3/5 skewed ladders
• Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder
• Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study