Journal
PHYSICAL REVIEW B
Volume 79, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.214408
Keywords
fermion systems; ground states; Heisenberg model; Ising model; magnetic anisotropy; magnetic domain walls; magnetic structure; perturbation theory
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We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-type anisotropy Delta. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent domain walls between the two degenerate ground states. We develop a perturbative expansion in 1/Delta for the transverse dynamical spin structure factor at finite temperatures and in an applied transverse magnetic field. We present a unified description for both the low-energy temperature-activated response and the temperature evolution of the T=0 two-spinon continuum. We find that the two-spinon continuum narrows in energy with increasing temperature. At the same time spectral weight is transferred from the two-spinon continuum to the low-energy intraband scattering continuum, which is strongly peaked around the position of the (single) spinon dispersion (Villain mode).
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