NMR Response in quasi one-dimensional Spin-1/2 Antiferromagnets

Abstract

Non-magnetic impurities break a quantum spin chain into finite segments and induce Friedel-like oscillations in the local susceptibility near the edges. The signature of these oscillations has been observed in Knight shift experiments on the high-temperature superconductor YBa${}_2$Cu${}_3$O${}_{6.5}$ and on the spin-chain compound Sr${}_2$CuO${}_3$. Here we analytically calculate NMR spectra, compare with the available experimental data for Sr${}_2$CuO${}_3$, and show that the interchain coupling is responsible for the complicated and so far unexplained lineshape. Our results are based on a parameter-free formula for the local susceptibility of a finite spin chain obtained by bosonization which is checked by comparing with quantum Monte Carlo and density-matrix renormalization group calculations.

final version

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Cited by in corpus (13)

• Thermodynamics of multiferroic spin chains
• The Luttinger liquid and integrable models
• Impurity effects in coupled-ladder BiCu2PO6 studied by NMR and quantum Monte Carlo simulations
• Vacancy-induced spin texture in a one dimensional $S=1/2$ Heisenberg antiferromagnet
• Transport and scattering in inhomogeneous quantum wires
• Finite-size effects in the quasi-one-dimensional quantum magnets Sr${}_2$CuO${}_3$, Sr${}_2$Cu${}_{0.99}$M${}_{0.01}$O${}_3$ (M = Ni, Zn), and SrCuO${}_2$
• Electron scattering from domain walls in ferromagnetic Luttinger liquids
• The effect of different in-chain impurities on the magnetic properties of the spin chain compound SrCuO${}_2$ probed by NMR
• The dynamic structure factor in impurity-doped spin chains
• Suppression of the impurity-induced local magnetism by the opening of a spin pseudogap in Ni-doped Sr${}_2$CuO${}_3$
• Quantum Monte Carlo Simulations for Stacked Spin Ladder Systems Containing Low Concentrations of Non-Magnetic Impurities; Application to the Low Temperature Broadening of NMR-Spectra in SrCu2O3
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains
• Consequences of lattice imperfections and interchain couplings for the critical properties of spin-1/2 chain compounds