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arXiv · 1606.03294

Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field

Benedikt Bruognolo·Andreas Weichselbaum·Jan von Delft·Markus Garst
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Abstract

The spin-$\frac{1}{2}$ XXZ chain with easy-plane anisotropy in a transverse field describes well the thermodynamic properties of the material ${\rm Cs_2CoCl_4}$ in a wide range of temperatures and fields including the region close to the spin-flop Ising quantum phase transition. For a comparison with prospective inelastic neutron scattering experiments on this compound, we present results of an extensive numerical study of its dynamic structure factor $\mathcal{S}^{αβ}(k,ω)$ using matrix-product-state (MPS) techniques. Close to criticality, the dynamic part of the correlator $\mathcal{S}^{xx}$ longitudinal to the applied field is incoherent and possesses a small total weight as the ground state is already close to saturation. The transverse correlator $\mathcal{S}^{zz}$, on the other hand, is dominated by a coherent single-particle excitation with additional spectral weight at higher energies that we tentatively attribute to a repulsively bound pair of particles. With increasing temperature, the latter quickly fades and spectral weight instead accumulates close to zero wavevector just above the single-particle energy. On a technical level, we compare the numerical efficiency of real-time evolution to an MPS-based Chebyshev expansion in the present context, finding that both methods yield results of similar quality at comparable numerical costs.

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Benedikt Bruognolo, Andreas Weichselbaum, Jan von Delft, Markus Garst. 2016-08-22. Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field. https://doi.org/10.1103/physrevb.94.085136

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