Weakly anisotropic frustrated zigzag spin chain

Abstract

The frustrated spin-1/2 model with weakly anisotropic ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchanges is studied with use of variational mean-field approach, scaling estimates of the infrared divergencies in the perturbation theory and finite-size calculations. The ground state phase diagram of this model contains three phases: the ferromagnetic phase, the commensurate spin-liquid phase and the incommensurate phase. The non-trivial behavior of the boundaries between these phases and the character of the phase transitions in case of weak anisotropy are determined.

13 pages, 4 figures

References in corpus (18)

• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Electronic States and Magnetic Propertis of Edge-sharing Cu-O Chains
• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
• Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain
• Confirmation of a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest-neighbor interactions in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• The ALPS project: open source software for strongly correlated systems
• Anisotropic Exchange in LiCuVO${}_4$ probed by ESR
• Strongly reduced gap in the zigzag spin chain with a ferromagnetic interchain coupling
• Magnetic Properties of Zig-Zag Ladders
• Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study
• Phase Diagram of the One Dimensional $S=1/2$ $XXZ$ model with Ferromagnetic nearest-neighbor and Antiferromagnetic next-nearest neighbor interactions
• Frustrated ferromagnetic spin-1/2 chain in the magnetic field
• A numerical method for detecting incommensurate correlations in the Heisenberg zigzag ladder
• Phase diagram of the XXZ chain with next-nearest-neighbor interactions
• Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Critical Region
• The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields
• Zigzag spin-S chain near ferromagnet-antiferromagnet transition point

Cited by in corpus (34)

• New high magnetic field phase of the frustrated $S=1/2$ chain compound LiCuVO${}_4$
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Thermodynamics of multiferroic spin chains
• Highly Dispersive Spin Excitations in the Chain Cuprate Li2CuO2
• Thermodynamics of a one-dimensional frustrated spin-1/2 Heisenberg ferromagnet
• The J1-J2 Heisenberg model at and close to its z=4 quantum critical point
• NMR study of the high-field magnetic phase of LiCuVO${}_4$
• Numerical study of incommensurate and decoupled phases of spin-1/2 chains with isotropic exchange J1, J2 between first and second neighbors
• Magnetic phase diagram of the frustrated S=1/2 chain magnet LiCu_2O_2
• Quantum phases of frustrated 2-leg spin-1/2 ladders with skewed rungs
• Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Multi-magnon bound states in easy-axis ferromagnetic zigzag spin chain
• The Canted Spiral: An Exact Ground State of XXZ Zigzag Ladders
• Thermodynamics of the frustrated one-dimensional spin-1/2 Heisenberg ferromagnet in a magnetic field
• Multiple phase transitions and high-field quadrupolar order in a model for $\beta$-TeVO${}_4$
• Spin parity and broken symmetry in finite spin-1/2 chains with frustrated exchange: quantum transition from high to low spin
• The phase diagram of the extended anisotropic ferromagnetic-antiferromagnetic Heisenberg chain
• Numerical study of the frustrated ferromagnetic spin-1/2 chain
• Spiral correlations in frustrated one-dimensional spin-1/2 Heisenberg J1-J2-J3 ferromagnets
• Frustrated spin ladder with alternating spin-1 and spin-1/2 rungs
• Exotic phases of frustrated antiferromagnet LiCu2O2
• Magnetization plateaus of spin-$\frac{1}{2}$ system on a 5/7 skewed ladder
• Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba3Cu3In4O12 and Ba3Cu3Sc4O12
• Magnetic excitations in quasi-one dimensional helimagnets: Magnon decays and in uence of the inter-chain interactions
• Anisotropic Exchange in $\mathbf{LiC}{\mathbf{u}}_2{\mathbf{O}}_2$
• Magnetic solitons in frustrated ferromagnetic spin chain
• The spiral spin state in a zigzag spin chain system
• Refined Spin Wave Model and Multi-magnon Bound States in $L{i}_{2}Cu{O}_2$
• 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
• Spin Peierls transition of $J_1-J_2$ and extended models with ferromagnetic $J_1$.Sublattice dimerization and thermodynamics of zigzag chains in $\beta$-TeVO${}_4$
• Scaling Property of the F-AF Spin Chain Near the Exactly Solvable Point
• Quantum Phase Transitions in Skewed Ladder Systems