The J_1-J_2 model revisited : Phenomenology of CuGeO_3
V.N. Muthukumar (Dortmund), Claudius Gros (Dortmund), Roser Valenti, (Dortmund), M. Weiden (Darmstadt), C. Geibel (Darmstadt), F. Steglich, (Darmstadt), P. Lemmens (Aachen), M. Fischer (Aachen), G. G\"untherodt, (Aachen)
TL;DR
This paper develops a mean field approach to analyze the J_1-J_2 antiferromagnetic chain, providing insights into frustration effects, thermodynamic properties, and experimental signatures in CuGeO_3.
Contribution
It introduces a mean field solution for the J_1-J_2 model to estimate frustration effects and interpret experimental data in CuGeO_3.
Findings
Calculated temperature-dependent spin-wave velocity v_s(T).
Compared theoretical susceptibility with experimental data for CuGeO_3.
Analyzed the two-magnon Raman continuum above the spin-Peierls transition.
Abstract
We present a mean field solution of the antiferromagnetic Heisenberg chain with nearest (J_1) and next to nearest neighbor (J_2) interactions. This solution provides a way to estimate the effects of frustration. We calculate the temperature-dependent spin-wave velocity, v_s(T) and discuss the possibility to determine the magnitude of frustration J_2/J_1 present in quasi 1D compounds from measurements of v_s(T). We compute the thermodynamic susceptibility at finite temperatures and compare it with the observed susceptibility of the spin-Peierls compound CuGeO_3. We also use the method to study the two-magnon Raman continuum observed in CuGeO_3 above the spin-Peierls transition.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.