Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice

Abstract

Using the density matrix renormalization group and a bosonization approach, we study a spin-1/2 antiferromagnetic Heisenberg chain with near-neighbor coupling $J_1$ and frustrating second-neighbor coupling $J_2$, particularly in the limit $J_2>>J_1$. This system exhibits both dimerization and incommensurate spiral spin correlations. We argue that this system is closely related to a doped, spin-gapped phase of the one-dimensional Kondo lattice.

18 pages, with 13 embedded encapsulated Postscript figures, uses epsf.sty. Corrects a misstatement about the pitch angle, and contains additional references

References in corpus (4)

• Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain
• Exact Results for 1D Kondo Lattice from Bosonization

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• Magnetic plateaus and jumps in a spin-1/2 ladder with alternate Ising-Heisenberg rungs: a field dependent study
• Hyperbolic recurrent neural network as the first type of non-Euclidean neural quantum state ansatz
• Applications of the density matrix renormalisation group to problems in magnetism
• Double-bracket quantum algorithms for high-fidelity ground state preparation
• Shared purity and concurrence of a mixture of ground and low-lying excited states as indicators of quantum phase transitions
• Excitations of a low-dimensional dimerized spin ladder under a magnetic field
• Brute-force positivization of $J_1-J_2$ model ground states
• Confinement, deconfinement, and bound states in the spin-$1$ and spin-$3/2$ generalizations of the Majumdar--Ghosh chain
• On the lowest energy excitations of one-dimensional strongly correlated electrons
• Magnetization of electronic ground states in frustrated superstable graphs
• Numerical investigations of the Schwinger model and selected quantum spin models
• Principle of learning sign rules by neural networks in qubit lattice models
• Spin-orbital gap of multiorbital antiferromagnet