Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field

Abstract

We study the one-dimensional spin-1/2 Heisenberg chain with competing ferromagnetic nearest-neighbor J_1 and antiferromagnetic next-nearest-neighbor J_2 exchange couplings in the presence of magnetic field. We use both numerical approaches (the density matrix renormalization group method and exact diagonalization) and effective field-theory approach, and obtain the ground-state phase diagram for wide parameter range of the coupling ratio J_1/J_2. The phase diagram is rich and has a variety of phases, including the vector chiral phase, the nematic phase, and other multipolar phases. In the vector chiral phase, which appears in relatively weak magnetic field, the ground state exhibits long-range order (LRO) of vector chirality which spontaneously breaks a parity symmetry. The nematic phase shows a quasi-LRO of antiferro-nematic spin correlation, and arises as a result of formation of two-magnon bound states in high magnetic fields. Similarly, the higher multipolar phases, such as triatic (p=3) and quartic (p=4) phases, are formed through binding of p magnons near the saturation fields, showing quasi-LRO of antiferro-multipolar spin correlations. The multipolar phases cross over to spin density wave phases as the magnetic field is decreased, before encountering a phase transition to the vector chiral phase at a lower field. The implications of our results to quasi-one-dimensional frustrated magnets (e.g., LiCuVO_4) are discussed.

v1. 20 pages, 18 figures: v2: 21 pages, 19 figures, Title modified slightly. Some references, Fig.16, and a note are added. To appear in Phys. Rev. B

References in corpus (32)

• The density-matrix renormalization group
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• New Trends in Density Matrix Renormalization
• Nematic order in square lattice frustrated ferromagnets
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• Magnetization Plateaux in N-Leg Spin Ladders
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
• 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
• Switching the Ferroelectric Polarization by External Magnetic Fields in the Spin = 1/2 Chain Cuprate LiCuVO4
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Ground State Phase Diagrams of Frustrated Spin-S XXZ Chains: Chiral Ordered Phases
• Spin-modulated quasi-1D antiferromagnet LiCuVO_4
• Magnetic Properties of Zig-Zag Ladders
• Relationship between Magnetic Structure and Ferroelectricity of LiVCuO4
• Octupolar order in the multiple spin exchange model on a triangular lattice
• Spin correlations in the two-leg antiferromagnetic ladder in a magnetic field
• Field-induced chiral phase in isotropic frustrated spin chains
• Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets
• Frustrated ferromagnetic spin-1/2 chain in the magnetic field
• Vector chiral order in frustrated spin chains
• On the Bloch Theorem Concerning Spontaneous Electric Current
• Exact one- and two-particle excitation spectra of acute-angle helimagnets above their saturation magnetic field
• Spin and chiral orderings of frustrated quantum spin chains
• High field magnetisation of the frustrated one dimensional quantum antiferromagnet LiCuVO4
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange

Cited by in corpus (206)

• Unusual ordered phases of highly frustrated magnets: a review
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• Magnon pairing in quantum spin nematic
• Information transfer by vector spin chirality in finite magnetic chains
• New high magnetic field phase of the frustrated $S=1/2$ chain compound LiCuVO${}_4$
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Evidence of a bond-nematic phase in LiCuVO4
• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• Quantum spin liquid in frustrated one dimensional LiCuSbO4
• One-Third Magnetization Plateau with a Preceding Novel Phase in Volborthite
• Search for a spin-nematic phase in the quasi-one-dimensional frustrated magnet LiCuVO${}_4$
• Spin-Nematic and Spin-Density-Wave Orders in Spatially Anisotropic Frustrated Magnets in a Magnetic Field
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Quantum Magnetism in Minerals
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Magnetic properties and revisited exchange integrals of the frustrated chain cuprate PbCuSO${}_4$(OH)${}_2$ - linarite
• Thermodynamics of multiferroic spin chains
• SU(2) slave-boson formulation of spin nematic states in S=1/2 frustrated ferromagnets
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
• Excitation of local magnetic moments by tunnelling electrons
• Magnon BEC and various phases of 3D quantum helimagnets under high magnetic field
• 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
• Spin-stripe phase in a frustrated zigzag spin-1/2 chain
• Anisotropic spin fluctuations in the quasi one-dimensional frustrated magnet LiCuVO_4
• Thermodynamic Properties of the Anisotropic Frustrated Spin-chain Compound Linarite PbCuSO${}_4$(OH)${}_2$
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• Saturation field of frustrated chain cuprates: broad regions of predominant interchain coupling
• Frustrated spin chains in strong magnetic field: dilute two-component Bose gas regime
• Nematic phase and phase separation near saturation field in frustrated ferromagnets
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Spin Density Wave in Insulating Ferromagnetic Frustrated Chain LiCuVO${}_4$
• Complex field-induced states in Linarite PbCuSO${}_4$(OH)${}_2$ with a variety of high-order exotic SDW${}_p$ states
• Spin many-body phases in standard and topological waveguide QED simulators
• A Panoply of Orders from a Quantum Lifshitz Field Theory
• Dynamics and relaxation in spin nematics
• A proof of the Bloch theorem for lattice models
• Quantum phase transitions driven by rhombic-type single-ion anisotropy in the S=1 Haldane chain
• Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$
• Where is the Quantum Spin Nematic?
• High--field NMR of the quasi--1D antiferromagnet LiCuVO${}_4$
• Spin dynamics in the high-field phases of volborthite
• NaCuMoO_4(OH) as a Candidate Frustrated J_1-J_2 Chain Quantum Magnet
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy
• Pulse and quench induced dynamical phase transition in a chiral multiferroic spin chain
• Magnetic anisotropy in the frustrated spin chain compound $\beta$-TeVO${}_4$
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Helical multiferroics for electric field controlled quantum information processing
• Competing phases in spin-1/2 J1-J2 chain with easy-plane anisotropy
• Chirality-driven ferroelectricity in LiCuVO${}_4$
• Magnetic phase diagram of the frustrated S=1/2 chain magnet LiCu_2O_2
• Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsite Cu${}_3$(MoO${}_4$)(OH)${}_4$
• Magnon Pairs and Spin-Nematic Correlation in the Spin-Seebeck Effect
• The magnetic structure of the $zigzag$ chain family Na${}_x$Ca${}_{1-x}$V${}_2$O${}_4$ determined by muon-spin rotation
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Spin-current order in anisotropic triangular antiferromagnets
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• Direct observation of spin-quadrupolar excitations in Sr${}_2$CoGe${}_2$O${}_7$ by high field ESR
• Electronic polymers and soft-matter-like broken symmetries in underdoped cuprates
• Quantum spin nematic phase in a square-lattice iridate
• Quantum phases of frustrated 2-leg spin-1/2 ladders with skewed rungs
• Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin
• Polar molecules in frustrated triangular ladders
• Many-body localization phase in a spin-driven chiral multiferroic chain
• Dynamical spin structure factors of quantum spin nematic states
• Spin Superfluidity in Coplanar Multiferroics
• Anomalous Hall conductivity control in Mn${}_3$NiN antiperovskite by epitaxial strain along the kagome plane
• Dissipationless Spin Current between Two Coupled Ferromagnets
• Multipolar phase in frustrated spin-1/2 and 1 chains
• Putative spin-nematic phase in BaCdVO(PO${}_4$)${}_2$
• Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO_4(OH) (A = Na, K)
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• Spinons and helimagnons in the frustrated Heisenberg chain
• Variety of order-by-disorder phases in the asymmetric $J_1-J_2$ zigzag ladder: From the delta chain to the $J_1-J_2$ chain
• Resonances in a dilute gas of magnons and metamagnetism of isotropic frustrated ferromagnetic spin chains
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• One- and three-dimensional quantum phase transitions and anisotropy in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Magnetic structure of the spin-1/2 frustrated quasi-one-dimensional antiferromagnet Cu3Mo2O9: Appearance of a partial disordered state
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Chiral liquid phase of simple quantum magnets
• Dielectric Anomaly in the Quasi-One-Dimensional Frustrated Spin-1/2 System Rb${}_2$(Cu${}_{1-x}$M${}_x$)${}_2$Mo${}_3$O${}_{12}$ (M=Ni and Zn)
• Spin-Chirality Separation and S_3-Symmetry Breakings in the Magnetization Plateau of the Quantum Spin Tube
• Decoupled phase of frustrated spin-1/2 antiferromagnetic chains with and without long range order in the ground state
• Thermodynamics of the frustrated one-dimensional spin-1/2 Heisenberg ferromagnet in a magnetic field
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Triple-$\mathcal{Q}$ partial magnetic orders induced by quadrupolar interactions: Triforce order scenario for UNi${}_4$B
• Chiral Spin Liquid in two-dimensional XY Helimagnets
• Exact matrix product states at the quantum Lifshitz tricritical point in a spin-1/2 zigzag-chain antiferromagnet with anisotropic $\Gamma$-term
• Valence bond solid and possible deconfined quantum criticality in an extended kagome lattice Heisenberg antiferromagnet
• Dominant ferromagnetism in the spin-1/2 half-twist ladder 334 compounds, Ba3Cu3In4O12 and Ba3Cu3Sc4O12
• Spin parity and broken symmetry in finite spin-1/2 chains with frustrated exchange: quantum transition from high to low spin
• Linarite - a quasi-critical J${}_1$-J${}_2$ chain
• The phase diagram of the extended anisotropic ferromagnetic-antiferromagnetic Heisenberg chain
• Electron spin resonance for the detection of long-range spin nematic order
• Multiple phase transitions and high-field quadrupolar order in a model for $\beta$-TeVO${}_4$
• Magnetoelastic couplings in the deformed Kagomé quantum spin lattice of volborthite
• Spiral correlations in frustrated one-dimensional spin-1/2 Heisenberg J1-J2-J3 ferromagnets
• The magnetic phase diagram of the frustrated spin chain compound linarite, PbCuSO${}_4$(OH)${}_2$, as seen by neutron diffraction and ${}^1$H-NMR
• Rb-NMR study of the quasi-one dimensional competing spin-chain compound Rb2Cu2Mo3O12
• A Note on Bloch theorem
• Thermodynamics of frustrated ferromagnetic spin-$1/2$ Heisenberg chains: The role of inter-chain coupling
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Collinear Spin-density-wave Order and Anisotropic Spin Fluctuations in the Frustrated $J_1$--$J_2$ Chain Magnet NaCuMoO${}_4$(OH)
• Topological phase, supercritical point and emergent phenomena in extended ${\mathbb{Z}}_3$ parafermion chain
• Probing Hidden Orders with Resonant Inelastic X-Ray Scattering
• Magnetization plateaus of spin-$\frac{1}{2}$ system on a 5/7 skewed ladder
• Exotic phases of frustrated antiferromagnet LiCu2O2
• Double zigzag spin chain in strong magnetic field close to saturation
• Pre-saturation phase in the frustrated ferro-antiferromagnet Pb${}_2$VO(PO${}_4$)${}_2$
• Entanglement and level crossings in frustrated ferromagnetic rings
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Low-temperature properties of classical zigzag spin chain at the ferromagnet-helimagnet transition point
• The origin of up-up-down-down magnetic order in Cu${}_2$GeO${}_4$
• Density-induced geometric frustration of ultra-cold bosons in optical lattices
• Magnetic structure of the frustrated S=1/2 chain magnet LiCu2O2 doped with nonmagnetic Zn
• Spiral magnetic structure in spin-5/2 frustrated trimerized chains in SrMn3P4O14
• Magnetic excitations in quasi-one dimensional helimagnets: Magnon decays and in uence of the inter-chain interactions
• Anisotropic Exchange in $\mathbf{LiC}{\mathbf{u}}_2{\mathbf{O}}_2$
• Coexisting spinons and magnons in frustrated zigzag spin-1/2 chain compound $\beta$-TeVO${}_4$
• Vector-spin-chirality order in a dimerized frustrated spin-1/2 chain
• Magnetic solitons in frustrated ferromagnetic spin chain
• Semiclassical analysis of a magnetization plateau in a 2D frustrated ferrimagnet
• Novel quantum phase of the chromium spinel oxide HgCr${}_2$O${}_4$ in high magnetic fields
• Universal low-temperature properties of frustrated classical spin chain near the ferromagnet-helimagnet transition point
• Symmetry breaking in low-dimensional SU(N) antiferromagnets
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Magnetoelastic study on the frustrated quasi-one-dimensional spin-1/2 magnet LiCuVO${}_4$
• Interacting bosons in generalized zig-zag and railroad-trestle models
• Dynamics of Bound Magnon Pairs in the Quasi-One-Dimensional Frustrated Magnet LiCuVO_4
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Elementary excitation in the spin-stripe phase in quantum chains
• Control of superexchange interactions with DC electric fields
• Anyonic Liquids in Nearly Saturated Spin Chains
• Magnetic phase diagram of the linear quantum ferro-antiferromagnet Cs${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Roles of easy-plane and easy-axis XXZ anisotropy and bond alternation on a frustrated ferromagnetic spin-$1/2$ chain
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Quasi-1d quantum helimagnets: The fate of multipolar phases
• Dimerization and effective decoupling in two spin-1 generalizations of the spin-1/2 Majumdar-Ghosh chain
• Abundant quadrupolar or nematic phases driven by the Heisenberg interactions in a spin-1 dimer system forming a bilayer
• Magnetic ground state of the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$ at high magnetic fields
• Competing long-range interactions and spin vector chirality in spin-chains
• Reentrance of Topological Phase in Spin-1 Frustrated Heisenberg Chain
• Thermal effects versus spin nematicity in a frustrated spin-1/2 chain
• Ground-State Phase Diagram of an Anisotropic S=1/2 Ladder with Different Leg Interactions
• Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
• Pressure-induced phase transition in the $J_1$-$J_2$ square lattice antiferromagnet RbMoOPO${}_4$Cl
• Field-Induced Quantum Spin Nematic Liquid Phase in the S=1 Antiferromagnetic Heisenberg Chain with Additional Interactions
• Refined Spin Wave Model and Multi-magnon Bound States in $L{i}_{2}Cu{O}_2$
• Effects of Dzyaloshinskii-Moriya interactions in volborthite: Magnetic orders and thermal Hall effect
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions
• Effects of magnetic anisotropy on spin dynamics of ferromagnetic frustrated chain
• Phase diagram of hard-core bosons on a frustrated zig-zag ladder
• Exact ground states of frustrated quantum spin systems consisting of spin-dimer units
• Quantum phases of spin-1 system on 3/4 and 3/5 skewed ladders
• Low-energy spin excitations of the frustrated ferromagnetic $J_1$-$J_2$ chain material linarite, PbCuSO${}_4$(OH)${}_2$, in applied magnetic fields $\mathbf{H}\parallel b$ axis
• 133Cs-NMR study on aligned powder of competing spin chain compound Cs2Cu2Mo3O12
• Chern-Simons-Matter Theories at Large Baryon Number
• Electron spin resonance in spiral antiferromagnet linarite: theory and experiment
• Existence of two distinct valence bond solid states in the dimerized frustrated ferromagnetic $J_1$-$J_1^{\prime }$-$J_2$ chain
• Topological insulator in a helicoidal magnetization field
• Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder
• Low-temperature thermodynamics of the classical frustrated ferromagnetic chain in magnetic field
• Quantum spin solver near saturation: QS${}_{}^3$
• Gapped Spin Excitation in Magnetic Ordered State on Yb-Based Zigzag Chain Compound YbAgSe2
• Critical dielectric susceptibility at a magnetic BEC quantum critical point
• 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${}_4$
• Effects of Zeeman field on a Spin Bose-Metal phase
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Phase diagram of a frustrated asymmetric ferromagnetic spin ladder
• Density matrix renormalization group approach to the low temperature thermodynamics of correlated 1D fermionic models
• Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Few-magnon excitations in a frustrated spin-$S$ ferromagnetic chain with single-ion anisotropy
• Field-induced quantum phase in a frustrated zigzag-square lattice
• NMR relaxation rate in the field-induced octupolar liquid phase of spin-1/2 J1-J2 frustrated chains
• Dynamical quadrupole structure factor of frustrated ferromagnetic chain
• Magnetic excitations and transport properties in frustrated ferromagnetic chain
• Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure
• Inductance Due to Spin Current
• Incommensurate Matrix Product State for Quantum Spin Systems
• Ground-state phase diagram of an anisotropic S=1/2 ladder with alternating rung interactions
• Realization of a triangular spin necklace in a verdazyl-based Ni complex
• Self-organised magnon condensation in quasi-1D edge-shared cuprates without external fields
• Competing magnetic phases in the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$ probed by NMR
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Field-Induced Spin Nematic Liquid of the $S=1/2$ Bond-Alternating Chain with the Anisotropy
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice
• Chiral phases and dynamics of dipoles in triangular optical ladders
• Nematic Tomonaga-Luttinger Liquid Phase in an $S=1/2$ Ferromagnetic-Antiferromagnetic Bond-Alternating Chain
• Chiral symmetry and magnetism in a 3D Kagome lattice: RPt${}_2$B (R = La and Nd) prototype crystals
• Quantum Phase Transitions in Skewed Ladder Systems
• Quantum phase with spontaneous translational symmetry breaking in an extended diamond chain
• Impurity effects in one dimensional spin nematic liquid
• Magnetic-field-induced reorientation in the SDW and the spin-stripe phases of the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$
• Bond-bond correlations, gap relations and thermodynamics of spin-$1/2$ chains with spin-Peierls transitions and bond-order-wave phases
• Excitation and transport of bound magnon clusters in frustrated ferromagnetic chain
• Inter-chain Interactions, Multi-magnon condensation and Strain effect in chain compound NaVOPO${}_4$
• Exact momentum-space analysis of small spin-1/2 $J_1$-$J_2$ rings
• Emergent SU(3) symmetry in a four leg spin tube
• 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