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

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arxiv cond-mat/9602126 v2 pith:VOLSZ6SO submitted 1996-02-23 cond-mat hep-th

classification cond-mathep-th
keywords spinchaincorrelationscouplingdimerizationincommensuratekondolattice
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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.

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  1. Probing Quantum Spin Systems with Kolmogorov-Arnold Neural Network Quantum States

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    SineKAN, a Kolmogorov-Arnold network with sinusoidal activations, accurately represents ground states of 1D spin chains and outperforms RBM, LSTM, and MLP neural quantum states in the J1-J2 model.

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