Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves

Abstract

We construct modified spin-wave thermodynamics for frustrated noncollinear antiferromagnets for the first time. The well-known modified spin-wave theory for collinear antiferromagnets diagonalizes a bosonic Hamiltonian subject to the constraint that the total staggered magnetization be zero. Applying this scheme as it is to frustrated noncollinear antiferromagnets ends in a poor thermodynamics, missing the optimal ground state and breaking the local U(1) rotational symmetry. We find a new double-constraint modification scheme to overcome this difficulty, which is tuned especially to frustrated spiral magnets but spontaneously goes back to the standard single-constraint condition at the onset of a collinear Néel-ordered classical ground state. We apply this new scheme to triangular-based polyhedral and planar antiferromagnets with particular interest in a possible contrast between edge- versus corner-sharing geometries. Under such circumstances that very few methods are available to calculate finite-temperature properties of frustrated noncollinear quantum magnets in the thermodynamic limit, our newly developed modified spin-wave theory predicts that the specific heat of the kagome-lattice Heisenberg antiferromagnet in the corner-sharing geometry remains having both mid-temperature broad maximum and low-temperature narrow peak in the thermodynamic limit, while the specific heat of the triangular-lattice Heisenberg antiferromagnet in the edge-sharing geometry retains a low-temperature sharp peak followed by a mid-temperature weak anormaly in the thermodynamic limit.

New robust modified spin-wave thermodynamics for various frustrated noncollinear Heisenberg antiferromagnets in the triangular-based geometry; 52 pages including 8 figures

References in corpus (42)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• The iTEBD algorithm beyond unitary evolution
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Properties of an algebraic spin liquid on the kagome lattice
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Magnon Decay in Noncollinear Quantum Antiferromagnets
• Flat spin wave dispersion in a triangular antiferromagnet
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Efficient simulation of infinite tree tensor network states on the Bethe lattice
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• Valence-bond crystal in the extended kagome spin-1/2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Dynamics and transport of the Z_2 spin liquid: application to kappa-(ET)2Cu2(CN)3
• Numerical Contractor Renormalization Method for Quantum Spin Models
• Multiple nearest-neighbor exchange model for the frustrated magnetic molecules Mo72Fe30 and Mo72Cr30
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Quantum disorder in the spatially completely anisotropic triangular lattice I: Heisenberg $S=1/2$ antiferromagnet
• Quantum disorder in the spatially completely anisotropic triangular lattice II: frustrated hard-core bosons
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Weak Ferromagnetic Exchange and Anomalous Specific Heat in ZnCu3(OH)6Cl2
• Optimized implementation of the Lanczos method for magnetic systems
• Low temperature properties of the triangular-lattice antiferromagnet: a bosonic spinon theory
• E-band excitations in the magnetic Keplerate molecule Fe30
• Spin Triplet Excitations for a Valence Bond Solid on the Kagome Lattice
• Spin-wave thermodynamics of square-lattice antiferromagnets revisited
• Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice
• Projective symmetry of partons in Kitaev's honeycomb model
• Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls

Cited by in corpus (3)

• Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor
• Breakdown of the conventional spin-wave dynamics and its double-constraint modification in the spin-$\frac{1}{2}$ triangular-prism Heisenberg antiferromagnet
• Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8