Spin dynamics of SrCu${}_2$O${}_3$ and the Heisenberg ladder

Abstract

The $S=1/2$ Heisenberg antiferromagnet in the ladder geometry is studied as a model for the spin degrees of freedom of SrCu${}_2$O${}_3$. The susceptibility and the spin echo decay rate are calculated using a quantum Monte Carlo technique, and the spin-lattice relaxation rate is obtained by maximum entropy analytic continuation of imaginary time correlation functions. All calculated quantities are in reasonable agreement with experimental results for SrCu${}_2$O${}_3$ if the exchange coupling $J\approx 850$K, i.e. significantly smaller than in high-T${}_c$ cuprates.

11 pages (Revtex) + 3 uuencoded ps files. To appear in Phys. Rev. B, Rapid Comm

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• Resonating Valence Bond Theory of Coupled Heisenberg Chains
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• Thermodynamics and spin gap of the Heisenberg ladder calculated by the look-ahead Lanczos algorithm
• The susceptibility and excitation spectrum of (VO)${}_2$P${}_2$O${}_7$ in ladder and dimer chain models
• NMR relaxation rates for the spin-1/2 Heisenberg chain
• Spin Dynamics of La_2CuO_4 and the Two-Dimensional Heisenberg Model

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