Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field

Abstract

We consider the anisotropic Heisenberg spin-1/2 chain in a transverse magnetic field at zero temperature. We first determine all components of the dynamical structure factor by combining exact results with a mean-field approximation recently proposed by Dmitriev et al. ͓JETP 95, 538 ͑2002͔͒. We then turn to the small anisotropy limit, in which we use field theory methods to obtain exact results. We discuss the relevance of our results to neutron scattering experiments on the one-dimensional Heisenberg chain compound Cs 2 CoCl 4 .

Field-Induced Magnonic Liquid in the 3D Spin-Dimerized AntiferromagnetSr3Cr2O8Wang1, Quintero-Castro2, Жерлицын3 et al. 2016Phys. Rev. Lett.182801View full textAdd to dashboardCite

“…Moreover, a clear split of the dispersion relation occurs between q = 0 and q = π and becomes more significant with the increasing transverse fields. These features of the dispersion relation characterize emergent fermions of the transverse-field Ising-like chain 40,41 .…”

Gapped anisotropic spin chains in a field

“…[1,2]), or zero field and general anisotropy 3 . Recently, however, there has been renewed interest in the study of spin chains in the more general case of transverse field and anisotropy [4,5,6,7], where all symmetries are broken and exact solutions are out of reach. Most notably, the main motivation for the present study originates from extensive work done on the field-dependent ground-state properties and excitation dynamics of quasi-one-dimensional anisotropic antiferromagnets like Cs 2 CoCl 4 8 .…”

“…This was initiated in [4] for the XXZ chain in a transverse field, where the phase diagram and various scaling results were obtained. Correlation functions were afterwards studied in [5] using the equivalence to the XY model in a field, and through the use of perturbative RG shemes based on sine-Gordon form factors. Some of these results are in fact immediately generalizable to the XYZ chain in a field that we purport to study.…”

Decoherence of one-dimensional flying qubits due to their cross-talk and imperfections

“…In contrast, χ zz displays a cusp (β zz = 3/2) and remains incoherent for all values of the transverse field [9]. The unfying framework of the spin-fermion model (2) also allows one to investigate the effects of such qubits' imperfections as inhomogeneous local field or exchange couplings that vary from one site to another.…”