Effect of Interchain Coupling on Electron-Spin Resonance in Nearly One-Dimensional Systems

作者：Michael J. Hennessy, Carl D. McElwee, Peter M. Richards · 发表于：Physical review. B, Solid state · 年份：1973 · DOI：10.1103/physrevb.7.930 · 被引用次数：231 · 研究领域：Magnetism in coordination complexes、Electron Spin Resonance Studies、Advanced NMR Techniques and Applications

We present a theoretical and experimental study of the electron-spin-resonance (ESR) line shape in Heisenberg linear-chain systems which have small but non-negligible interchain coupling. Weak interchain coupling can drastically alter the characteristic one-dimensional line shape as well as produce three-dimensional ordering below a critical temperature ${T}_{N}$. Since ${T}_{N}$ is observable in a majority of "linear-chain" compounds, the treatment given here has broad application to ESR and structure studies. The rate for off-chain diffusion is proportional to ${J}^{\ensuremath{'}}{(\frac{{J}^{\ensuremath{'}}}{J})}^{\frac{1}{3}}$, where $J$ and ${J}^{\ensuremath{'}}$ are the intra- and interchain couplings, respectively. This dependence comes from the slow rate of diffusion in one dimension. Interchain spin flips then proceed at a rate considerably faster than would be expected on the basis of an anisotropic diffusion equation or transition probabilities. As a consequence, interchain coupling can be very effective in limiting the one-dimensional divergences which produce a non-Lorentzian line. Measurements are reported in Cu${(\mathrm{N}{\mathrm{H}}_{3})}_{4}$S${\mathrm{O}}_{4}$\ifmmode\cdot\else\textperiodcentered\fi{}${\mathrm{H}}_{2}$O (CTS), CsMn${\mathrm{Cl}}_{3}$\ifmmode\cdot\else\textperiodcentered\fi{}2${\mathrm{H}}_{2}$O (CMC), and Cu${\mathrm{Cl}}_{2}$\ifmmode\cdot\else\textperiodcentered\fi{}2N${\mathrm{C}}_{5}$${\mathrm{H}}_{5}$ (CuPC). CTS has a Lorentzian line...