1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction

Abstract

The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classical and quantum effects of adding a Dzyaloshinskii-Moriya (DM) interaction on the ground state of the system is studied using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state magnetic phase diagram consists of only one single phase: "chiral". The quantum corrections are determined by means of the Lanczos method and a rich quantum phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is obtained. Moreover, next nearest neighbors will be entangled by increasing DM interaction and for open chains, end-spins are entangled which shows the long distance entanglement (LDE) feature that can be controlled by DM interaction.

arXiv comment8 pages, 9 figures

References in corpus (44)

• Quantum Cryptography
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Scaling of Entanglement close to a Quantum Phase Transitions
• Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Entangled Rings
• Theory of the field-induced gap in $S=1/2$ antiferromagnetic chains
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Electronic States and Magnetic Propertis of Edge-sharing Cu-O Chains
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• 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
• Long-distance entanglement in spin systems
• 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${}_{12}$
• Ferroelectric Transition Induced by the Incommensurate Magnetic Ordering in LiCuVO4
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Multi-magnon bound states in the frustrated ferromagnetic 1D chain
• Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
• Chiral order and electromagnetic dynamics in one-dimensional multiferroic cuprates
• Strongly reduced gap in the zigzag spin chain with a ferromagnetic interchain coupling
• Ground State Phase Diagrams of Frustrated Spin-S XXZ Chains: Chiral Ordered Phases
• Non-Abelian bosonization of the frustrated antiferromagnetic spin-1/2 chain
• Magnetic Properties of Zig-Zag Ladders
• Elementary Excitations in Dimerized and Frustrated Heisenberg Chains
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Spin chirality induced by the Dzyaloshinskii-Moriya interaction and the polarized neutron scattering
• Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases
• Interplay between Symmetric Exchange Anisotropy, Uniform Dzyaloshinskii-Moriya Interaction and Magnetic Fields in the Phase Diagram of Quantum Magnets and Superconductors
• Weakly anisotropic frustrated zigzag spin chain
• Frustrated classical Heisenberg model in 1 dimension with added nearest-neighbor biquadratic exchange interactions
• Spin and chiral orderings of frustrated quantum spin chains
• Modified DMRG algorithm for the zigzag spin-1/2 chain with frustrated antiferromagnetic exchange: Comparison with field theory at large $J_2/J_1$
• Bond-order wave phase, spin solitons and thermodynamics of a frustrated linear spin-1/2 Heisenberg antiferromagnet
• Zigzag spin-S chain near ferromagnet-antiferromagnet transition point
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy
• Competing phases in spin-1/2 J1-J2 chain with easy-plane anisotropy
• Exact ground states for a class of one-dimensional frustrated quantum spin models
• Phase diagram of the 3D Axial-Next-Nearest-Neighbor Ising model
• Multi-magnon bound states in easy-axis ferromagnetic zigzag spin chain
• Metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya model
• Numerical study of the frustrated ferromagnetic spin-1/2 chain
• Magnetic solitons in frustrated ferromagnetic spin chain
• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field

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