Competing phases in spin-1/2 J1-J2 chain with easy-plane anisotropy

Abstract

We summarize our theoretical findings on the ground-state phase diagram of the spin-1/2 XXZ chain having competing nearest-neighbor (J1) and antiferromagnetic next-nearest-neighbor (J2) couplings. Our study is mainly concerned with the case of ferromagnetic J1, and the case of antiferromagnetic J1 is briefly reviewed for comparison. The phase diagram contains a rich variety of phases in the plane of J1/J2 versus the XXZ anisotropy Delta: vector-chiral phases, Néel phases, several dimer phases, and Tomonaga-Luttinger liquid phases. We discuss the vector-chiral order that appears for a remarkably wide parameter space, successive Néel-dimer phase transitions, and an emergent nonlocal string order in a narrow region of ferromagnetic J1 side.

8 pages (1 column), 3 figures, published version

References in corpus (9)

• Spin current and magneto-electric effect in non-collinear magnets
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Spin-polarization coupling in multiferroic transition-metal oxides
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains
• Quantum Fluctuations of Chirality in One-Dimensional Spin-1/2 Multiferroics: Gapless Dielectric Response from Phasons and Chiral Solitons
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy

Cited by in corpus (25)

• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Magnetic phase diagram of the frustrated S=1/2 chain magnet LiCu_2O_2
• Block-spiral magnetism: An exotic type of frustrated order
• Magnon Pairs and Spin-Nematic Correlation in the Spin-Seebeck Effect
• Frustrated magnets without geometrical frustration in bosonic flux ladders
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Spin-Chirality Separation and S_3-Symmetry Breakings in the Magnetization Plateau of the Quantum Spin Tube
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
• Spin-1/2 XY chain magnetoelectric: effect of zigzag geometry
• Exploring spin-orbital models with dipolar fermions in zig-zag optical lattices
• Antiferromagnetism beyond classical percolation threshold in the site-diluted half-filled one-band Hubbard model in three dimensions
• Roles of easy-plane and easy-axis XXZ anisotropy and bond alternation on a frustrated ferromagnetic spin-$1/2$ chain
• Control of superexchange interactions with DC electric fields
• Inhomogeneous superconducting phases in the frustrated Kondo-Heisenberg chain
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
• Revealing the topological nature of the bond order wave in a strongly correlated quantum system
• Incommensurate Matrix Product State for Quantum Spin Systems
• Topological order-by-disorder in orbitally degenerate dipolar bosons in zig-zag lattice
• Exploring Low-Dimensional Magnetism in Cobalt Vanadates, $A$CoV${}_2$O${}_7$~($A$~=~Ca, Sr) : Crystal Growth and Magnetic Properties of Effective Spin-1/2 Zigzag Chains
• Structurally induced magnetic transitions in layered dichalcogenides MoQ2 (Q = S, Se, Te) and double hydroxides (M2+)6Al3(OH)18[Na(H2O)6](SO4)2 6H2O (M2+ = Mn2+, Fe2+) under mechanical deformation
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light