Dynamics of anS=12, One-Dimensional Heisenberg Antiferromagnet

Abstract

The one-dimensional (ID), nearest-neighbor (nn), S=f Heisenberg antiferromagnet is one of the few nontrivial many-body problems with interesting dynamics for which exact solutions exist. In 1931, Bethe 1 found the ground-state eigenfunction, and he showed that no long-range order exists even at 0 K. Somewhat later, Hulthen 2 derived the ground-state energy E 0 =-\J\N(2 ln2 -£). In 1962, des Cloizeaux and Pearson 3 (dC-P) found that the first excited states obey the simple dispersion relationwhere c is the nn separation, and they identified these excitations as "spin waves." They noted that, quite remarkably, the dispersion relation, Eq.(1), has a double periodicity of TT just as in standard spin-wave theory 4 starting from an assumed Neel ground state. However, the coefficient of J in Eq. (1) is equal to IT, compared with 2 for classical spins. 4 It has not proven possible, 27 J. R. Brookeman and T. A. Scott, Acta Crystallogr., Sect. B 28, 983 (1972). 28 J. R. Brookeman, M. M. McEnnan, and T. A. Scott, Phys. Rev. B 4, 3661 (1971).

Magnetic field effects on the spin dynamics of the linear spin- Heisenberg antiferromagnet

“…This asymmetry is a quantum effect, since a classical spin-wave calculation would result in a delta function at the classical spin-wave frequency. The integrated intensity derived from (6) is in much better agreement with neutron scattering data on CPC [10] than the semiclassical result. For nonzero magnetic field the longitudinal structure factor S zz (q, ω) behaves differently from the transverse counterparts, S xx (q, ω) ≡ S yy (q, ω).…”

Magnetic structure and Dzyaloshinskii-Moriya interaction in theS=12helical-honeycomb antiferromagnetα−Cu2V2Gitgeatpong1, Zhao2, Avdeev3 et al. 2015Phys. Rev. B513210View full textAdd to dashboardCite

“…However, some approximate 1D antiferromagnets exhibit long-range order with a remnant of quantum fluctuations in a form of quantum renormalization of spin waves. 11,12 Hence, in order to apprehend diverse physics of these low-dimensional quantum magnets, it is crucial to identify a spin network and relevant underlying interactions that consequently cause magnetic ordering and govern spin dynamics.…”

One-dimensional spinon spin currents

“…This suggests that the usual TL-liquid theory is not sufficient to explain the LSSE of quantum spin chains. This situation contrasts with the fact that the TL-liquid theory has successfully explained other dynamical phenomena of 1D magnets such as electron spin resonance [38], nuclear magnetic resonance [39][40][41], and neutron scattering spectra [42][43][44].…”