Quantum spin spiral ground state of the ferrimagnetic sawtooth chain
arXiv:2207.08273 · doi:10.21468/SciPostPhys.14.3.052
Abstract
The ferrimagnetic phase of the sawtooth chain with mixed ferromagnetic nearest-neighbour interactions and antiferromagnetic next-nearest-neighbour interactions (within the isotropic Heisenberg model) was previously characterized as a phase with commensurate order. In this paper, we demonstrate that the system in fact exhibits an incommensurate quantum spin spiral. Even though the ground state is translationally invariant in terms of the local spin expectations $\avg{\vec{S}_i}$, the spiral can be detected via the connected spin-spin correlations $\avg{\vec{S}_i\cdot\vec{S}_j}-\avg{\vec{S}_i}\cdot\avg{\vec{S}_j}$ between the apical spins. It has a long wavelength that grows with and that soon exceeds finite-system sizes typically employed in numerical simulations. A faithful treatment thus requires the use of state-of-the-art simulations for large, periodic systems. In this work, we are able to accurately treat up to sites (200 unit cells) with periodic boundary conditions using the density-matrix renormaliztion group (DMRG). Exploiting the SU(2) symmetry allows us to directly compute the lowest-energy state for a given total spin. Our results are corroborated by variational uniform matrix product state (VUMPS) calculations, which work directly in the thermodynamic limit at the cost of a lower accuracy.
References in corpus (34)
- The density-matrix renormalization group in the age of matrix product states
- Area laws for the entanglement entropy - a review
- From density-matrix renormalization group to matrix product states
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- Variational optimization algorithms for uniform matrix product states
- Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
- Tangent-space methods for uniform matrix product states
- A Strictly Single-Site DMRG Algorithm with Subspace Expansion
- Ferroelectric Transition Induced by the Incommensurate Magnetic Ordering in LiCuVO4
- Magnetocaloric effect in one-dimensional antiferromagnets
- Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
- Spin waves and magnetic interactions in LiCu2O2
- Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
- Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
- Elementary excitations in the -chain
- On Quantum Solitons in the Sawtooth Lattice
- Spin-adapted Matrix Product States and Operators
- Fast and accurate evaluation of Wigner 3j, 6j, and 9j symbols using prime factorisation and multi-word integer arithmetic
- Quantum Topological Excitations: from the Sawtooth Lattice to the Heisenberg Chain
- Non-collinear spin states in bottom-up fabricated atomic chains
- Delta chain with ferromagnetic and antiferromagnetic interactions at the critical point
- Magnetization process of atacamite: a case of weakly coupled sawtooth chains
- Localized-magnon states in strongly frustrated quantum spin lattices
- A Ferromagnetic Lieb-Mattis Theorem
- General Quantum Fidelity Susceptibilities for the J1-J2 Chain
- Thermodynamics of delta-chain with ferro- and antiferromagnetic interactions
- Coexistence of valence-bond formation and topological order in the Frustrated Ferromagnetic - Chain
- Flat-band physics in the spin-1/2 sawtooth chain
- Variety of order-by-disorder phases in the asymmetric zigzag ladder: From the delta chain to the chain
- Analytical and numerical studies of the one-dimensional sawtooth chain
- Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
- Cumulants and Scaling Functions of Infinite Matrix Product States
- Topological phases arising from attractive interaction and pair hopping in the Extended Hubbard Model
- Frustration induced noncollinear magnetic order phase in one-dimensional Heisenberg chain with alternating antiferromagnetic and ferromagnetic next nearest neighbor interactions
Cited by in corpus (9)
- Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: Rotation-invariant Green's functions and high-temperature series
- Noncollinear phase of the antiferromagnetic sawtooth chain
- Magneto- and barocaloric properties of the ferro-antiferromagnetic sawtooth chain
- Magnetic properties of delta- and kagome-like chains with competing interactions
- Low-spin ground state of the giant single-molecule magnets {Mn} and {Mn}
- Magnetic properties of ferro-antiferromagnetic spin triangle chain
- Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
- On flat bands in the -- XXZ sawtooth chain
- Electric-field driven flat bands in the distorted sawtooth chain via the Katsura-Nagaosa-Balatsky mechanism