Multipolar phase in frustrated spin-1/2 and 1 chains

Abstract

The $J_1-J_2$ spin chain model with nearest neighbor $J_1$ and next nearest neighbor anti-ferromagnetic $J_2$ interaction is one of the most popular frustrated magnetic models. This model system has been extensively studied theoretically and applied to explain the magnetic properties of the real low-dimensional materials. However, existence of different phases for the $J_1-J_2$ model in an axial magnetic field $h$ is either not understood or has been controversial. In this paper we show the existence of higher order $p>4$ multipolar phase near the critical point $(J_2/J_1{)}_c=-0.25$. The criterion to detect the quadrupolar or spin nematic (SN)/spin density wave of type two (SDW${}_2$) phase using the inelastic neutron scattering (INS) experiment data is also discussed, and INS data of LiCuVO${}_4$ compound is modelled. We discuss the dimerized and degenerate ground state in the quadrupolar phase. The major contribution of binding energy in the spin-1/2 system comes from the longitudinal component of the nearest neighbor bonds. We also study spin nematic/SDW${}_2$ phase in spin-1 system in large $J_2/J_1$ limit.

arXiv comment11 pages, 10 figures

References in corpus (43)

• The density-matrix renormalization group
• Spin current and magneto-electric effect in non-collinear magnets
• Resonant Inelastic X-ray Scattering Studies of Elementary Excitations
• Spin-lattice coupling in frustrated antiferromagnets
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Computational Studies of Quantum Spin Systems
• Dynamical density-matrix renormalization-group method
• New Trends in Density Matrix Renormalization
• 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
• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• 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
• 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
• Evidence of a bond-nematic phase in LiCuVO4
• Strongly reduced gap in the zigzag spin chain with a ferromagnetic interchain coupling
• Quantum spin liquid in frustrated one dimensional LiCuSbO4
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• 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
• Excitations and quasi-one-dimensionality in field-induced nematic and spin density wave states
• Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains
• Frustrated ferromagnetic spin-1/2 chain in the magnetic field
• Frustrated spin chains in strong magnetic field: dilute two-component Bose gas regime
• A Panoply of Orders from a Quantum Lifshitz Field Theory
• 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
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Numerical study of incommensurate and decoupled phases of spin-1/2 chains with isotropic exchange J1, J2 between first and second neighbors
• DMRG study of scaling exponents in spin-1/2 Heisenberg chains with dimerization and frustration
• Comment on "Two-spinon and four-spinon continuum in a frustrated ferromagnetic spin-1/2 chain" by M. Enderle et al
• Spinons and helimagnons in the frustrated Heisenberg chain
• Resonances in a dilute gas of magnons and metamagnetism of isotropic frustrated ferromagnetic spin chains
• Decoupled phase of frustrated spin-1/2 antiferromagnetic chains with and without long range order in the ground state
• An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition
• Orthogonal spin arrangement as possible ground state of three - dimensional Shastry - Sutherland network in Ba3Cu3In4O12
• Spin parity and broken symmetry in finite spin-1/2 chains with frustrated exchange: quantum transition from high to low spin
• Dominant ferromagnetism in the spin-1/2 half-twist ladder 334 compounds, Ba3Cu3In4O12 and Ba3Cu3Sc4O12
• Numerical study of the frustrated ferromagnetic spin-1/2 chain
• Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba3Cu3In4O12 and Ba3Cu3Sc4O12

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