Magnetization process and ordering of the pyrochlore magnet in a field
arXiv:2106.09722 · doi:10.1103/PhysRevB.106.L060411
Abstract
We study the pyrochlore Heisenberg antiferromagnet in a magnetic field. Using large scale density-matrix renormalization group (DMRG) calculations for clusters up to spins, we find indications for a finite triplet gap, causing a threshold field to nonzero magnetization in the magnetization curve. We obtain a robust saturation field consistent with a magnon crystal, although the corresponding magnetization plateau is very slim and possibly unstable. Most remarkably, there is a pronounced and apparently robust magnetization plateau where the groundstate breaks (real-space) rotational symmetry, exhibiting oppositely polarised spins on alternating kagome and triangular planes. Reminiscent of the kagome ice plateau of the pyrochlore Ising magnet known as spin ice, it arises via a much more subtle `quantum order by disorder' mechanism.
arXiv comment9 pages, 6 figures
References in corpus (49)
- The density-matrix renormalization group in the age of matrix product states
- Spin Ice State in Frustrated Magnetic Pyrochlore Materials
- Magnetic Monopoles in Spin Ice
- Stripe order in the underdoped region of the two-dimensional Hubbard model
- Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
- From density-matrix renormalization group to matrix product states
- The "Coulomb phase" in frustrated systems
- Studying Two Dimensional Systems With the Density Matrix Renormalization Group
- Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
- Spin Ice, Fractionalization and Topological Order
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- New Trends in Density Matrix Renormalization
- Dipolar spin correlations in classical pyrochlore magnets
- Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
- Power-law spin correlations in pyrochlore antiferromagnets
- Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
- Magnetization plateaus in frustrated antiferromagnetic quantum spin models
- A Strictly Single-Site DMRG Algorithm with Subspace Expansion
- A new macroscopically degenerate ground state in the spin ice compound Dy2Ti2O7 under a magnetic field
- Theory of the [111] magnetization plateau in spin ice
- Generic Construction of Efficient Matrix Product Operators
- Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
- Singlet Excitations in Pyrochlore: A Study of Quantum Frustration
- Field induced ordering in highly frustrated antiferromagnets
- Magnetism of the N=42 kagome lattice antiferromagnet
- Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
- Continuum of quantum fluctuations in a three-dimensional Heisenberg magnet
- Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
- Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
- Universal properties of highly frustrated quantum magnets in strong magnetic fields
- The case for a U(1) Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore CeZrO
- The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
- Error estimates for extrapolations with matrix-product states
- Quantum effects in a half-polarized pyrochlore antiferromagnet
- Residual entropies for three-dimensional frustrated spin systems with tensor networks
- Possible inversion symmetry breaking in the pyrochlore Heisenberg magnet
- Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram
- Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field
- Monopole Flux State on the Pyrochlore Lattice
- Quantum stabilization of classically unstable plateau structures
- Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
- Chiral spin states in the pyrochlore Heisenberg magnet: Fermionic mean-field theory and variational Monte Carlo calculations
- Large-scale numerical investigations of the antiferromagnetic Heisenberg icosidodecahedron
- Kinetic frustration induced supersolid in the kagome lattice antiferromagnet in a magnetic field
- Exact eigenstates of highly frustrated spin lattices probed in high fields
- Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
- Magnetisation plateaux of the quantum pyrochlore Heisenberg antiferromagnet
- Unconventional magnets in external magnetic fields
- Ground state and low-lying excitations of the spin-1/2 XXZ model on the kagome lattice at magnetization 1/3