Quantum chiral phases in frustrated easy-plane spin chains

Abstract

The phase diagram of antiferromagnetic spin-S chain with XY-type anisotropy and frustrating next-nearest-neighbor interaction is studied in the limit of large integer S with the help of a field-theoretical approach. It is shown that the existence of gapless and gapped chiral phases found in recent numerical studies [M.Kaburagi et al., J. Phys. Soc. Jpn. vol.68, 3185 (1999), T.Hikihara et al., J. Phys. Soc. Jpn. vol.69, 259 (2000)] is not specific for S=1, but is rather a generic large-S feature. Estimates for the corresponding transition boundaries are obtained, and a sketch of the typical phase diagram is presented. It is also shown that frustration stabilizes the Haldane phase against the variation of the anisotropy.

4 revtex pages, 3 ps figures

References in corpus (2)

• Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases
• A numerical method for detecting incommensurate correlations in the Heisenberg zigzag ladder

Cited by in corpus (31)

• One-Dimensional Magnetism
• New high magnetic field phase of the frustrated $S=1/2$ chain compound LiCuVO${}_4$
• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets
• Ground State Phase Diagrams of Frustrated Spin-S XXZ Chains: Chiral Ordered Phases
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Field-induced chiral phase in isotropic frustrated spin chains
• Ultra-cold bosons in zig-zag optical lattices
• Vector chiral order in frustrated spin chains
• Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
• Phase transitions in the one-dimensional spin-S $J_1-J_2$ XY model
• Single Crystal Growth, Crystallography, Magnetic Susceptibility, Heat Capacity, and Thermal Expansion of the Antiferromagnetic S = 1 Chain Compound CaV2O4
• NMR study of the high-field magnetic phase of LiCuVO${}_4$
• Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field
• Magnetic phase diagram of the frustrated S=1/2 chain magnet LiCu_2O_2
• Polar molecules in frustrated triangular ladders
• The Canted Spiral: An Exact Ground State of XXZ Zigzag Ladders
• Chiral Spin Liquid in two-dimensional XY Helimagnets
• Ground-State Phase Diagram of Frustrated Antiferromagnetic S=1 Chain with Uniaxial Single-Ion-Type Anisotropy
• Exotic phases of frustrated antiferromagnet LiCu2O2
• Vector Chiral Phases in the Frustrated 2D XY Model and Quantum Spin Chains
• Density-induced geometric frustration of ultra-cold bosons in optical lattices
• Magnetization process for a quasi-one-dimensional S=1 antiferromagnet
• Anisotropic Exchange in $\mathbf{LiC}{\mathbf{u}}_2{\mathbf{O}}_2$
• Exact degenerate ground states for the F-AF spin chain with bond alternation
• Ordered phases of XXZ-symmetric spin-1/2 zigzag ladder
• Interacting bosons in generalized zig-zag and railroad-trestle models
• Scaling Property of the F-AF Spin Chain Near the Exactly Solvable Point
• Chiral spin liquid in a two-dimensional two-component helical magnet
• Competition between dimerization and vector chirality in the spin-$3/2$ $J_1$-$J_2$ Heisenberg chain with uniaxial single-ion anisotropy
• Topological defects and critical phenomena in two-dimensional frustrated helimagnets
• Spontaneous finite momentum pairing in superconductors without inversion symmetry