Projective studies of spin nematics in a quantum frustrated ferromagnet

Abstract

We study the ground state properties of the spin-1/2 frustrated ferromagnetic J1-J2 Heisenberg model on the square lattice, employing projected BCS wavefunctions with spin-triplet pairings of the spinon fields as trial wavefunctions. Based on the variational Monte Carlo analysis, we argue that, in the competing coupling regime, a certain type of the projected BCS wavefunction, dubbed the projected Z2 planar state, achieves the best optimal energy among the other competing states such as the ferromagnetic state and collinear antiferromagnetic state. Like in quantum spin liquids, the projected Z2 planar state preserves the translational symmetry of the square lattice. However, it is also accompanied by a d-wave ordering of the quadrupole moments, breaking the spin rotational symmetry. The state thus describes a quantum spin analogue of the nematic liquid crystals. The calculated static correlation functions also reveal that the projected Z2 planar state has a strong collinear antiferromagnetic fluctuation.

17 pages, 10 figures: text and figures are improved, references added

References in corpus (7)

• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Octupolar order in the multiple spin exchange model on a triangular lattice
• Quantum-number projection in the path-integral renormalization group method
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Gaussian-Basis Monte Carlo Method for Numerical Study on Ground States of Itinerant and Strongly Correlated Electron Systems
• Nematic order in the multiple-spin exchange model on the triangular lattice

Cited by in corpus (28)

• Projective symmetry group classification of chiral spin liquids
• Frustrated two dimensional quantum magnets
• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• Gapless chiral spin liquid in a kagome Heisenberg model
• Intertwined nematic orders in a frustrated ferromagnet
• Nematic phase and phase separation near saturation field in frustrated ferromagnets
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Degenerate manifolds, helimagnets, and multi-$\mathbf{Q}$ chiral phases in the classical Heisenberg antiferromagnet on the face-centered-cubic lattice
• Thermodynamics of a frustrated quantum magnet on a square lattice
• Interplay of non-symmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na${}_4$Ir${}_3$O${}_8$
• Ground-state phases of the frustrated spin-1/2 $J_1$--$J_2$--$J_3$ Heisenberg ferromagnet ($J_1<0$) on the honeycomb lattice with $J_3=J_2>0$
• Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• Dynamical spin structure factors of quantum spin nematic states
• Putative spin-nematic phase in BaCdVO(PO${}_4$)${}_2$
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• The Phase Transition of Square Lattice Antiferromagnets at Finite Temperature
• High-temperature expansion for frustrated magnets: Application to the J1-J2 model on the BCC lattice
• Thermodynamics of the frustrated $J_1$-$J_2$ Heisenberg ferromagnet on the body-centered cubic lattice with arbitrary spin
• Electron spin resonance for the detection of long-range spin nematic order
• Ground-state phase diagram of the spin-1/2 square-lattice J1-J2 model with plaquette structure
• Magnetic phase diagram slightly below the saturation field in the stacked $J_1$-$J_2$ model in the square lattice with the $J_{\text{C}}$ interlayer coupling
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Control of superexchange interactions with DC electric fields
• Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model