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• W2048725145 abstract "The proton spin relaxation rate is calculated in the one-dimensional spin-textonehalf{} Heisenberg antiferromagnet $ensuremath{alpha}$-bis (N-methylsalicylaldiminato)-copper (II), $ensuremath{alpha}$-CuNSal by using a fermion representation for magnons above the critical field where the magnon spectrum develops a gap. The one-magnon process which is dominant below the critical field is shown to be absent in the presence of a gap in contrast to a previous theory. Instead, we find that the three-magnon rate is large enough to explain the data at low fields. The two-magnon off-resonance damping which enters the expression for the three-magnon rate is calculated by solving the two-magnon scattering exactly, leading to a much smaller value of the rate than that predicted by the Born approximation. Also, in an unsuccessful attempt to resolve the discrepancy between the recently calculated two-magnon rate (dominant at high fields) and the data of $ensuremath{alpha}$-CuNSal reported by Azevedo et al., we carry out the vertex correction for the spin-density correlation function by summing the RPA (random-phase approximation) series as well as the exchange ladders for the polarization part. We find that, although the exchange enhancement is significantly large, it is nearly canceled out by the RPA correction, and the net effect of the vertex correction is small. This result agrees with the recent data of the similar spin-textonehalf{} antiferromagnetic Heisenberg chain system CuS${mathrm{O}}_{4}$ifmmodecdotelsetextperiodcenteredfi{}5${mathrm{H}}_{2}$O reported by Groen et al. On the other hand, it disagrees with a recent calculation of the two-magnon rate based on a boson representation of spins. To resolve this discrepancy we examine the effect of the boson self-energy correction on the two-magnon rate. The boson spectral shift is found to be quite large in the region where the cited two-boson rate deviates from the two-fermion rate. As a result the two-boson rate is significantly reduced, leading to reasonable agreement with the two-fermion rate." @default.
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• W2048725145 date "1981-01-01" @default.
• W2048725145 modified "2023-09-25" @default.
• W2048725145 title "Nuclear spin relaxation in a spin-½ antiferromagnetic Heisenberg chain at high fields" @default.
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• W2048725145 doi "https://doi.org/10.1103/physrevb.23.239" @default.
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