Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study

Abstract

We study here different regions in phase diagrams of the spin-1/2, spin-1 and spin-3/2 one dimensional antiferromagnetic Heisenberg systems with frustration (next-nearest-neighbor interaction $J_2$) and dimerization ($\delta$). In particular, we analyze the behaviors of the bipartite entanglement entropy and fidelity at the gapless to gapped phase transitions and across the lines separating different phases in the $J_2-\delta$ plane. All the calculations in this work are based on numerical exact diagonalizations of finite systems.

12 pages, 15 figures; provided some finite size analysis results, some changes in text accordingly; to appear in J. Phys.: Condens. Matter

References in corpus (18)

• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Quantum critical scaling of the geometric tensors
• Quantum magnetism and criticality
• Scaling of entanglement support for Matrix Product States
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Fidelity susceptibility, scaling, and universality in quantum critical phenomena
• Ground state fidelity from tensor network representations
• Long-distance entanglement in spin systems
• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Finite temperature fidelity susceptibility for one-dimensional quantum systems
• Entanglement in the Majumdar-Ghosh model
• Reduced fidelity susceptibility and its finite-size scaling behaviors
• Oscillating fidelity susceptibility near a quantum multicritical point
• Reduced fidelity in topological quantum phase transitions
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Valence bond entanglement entropy of frustrated spin chains

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