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arXiv:cond-mat/9810143 · Physical review. B, Condensed matter

Thermodynamic properties of spin- 12 transverse XY chains with Dzyaloshinskii-Moriya interaction: Exact solution for correlated Lorentzian disorder

Oleg Derzhko, Johannes Richter

Published Jan 1, 1999• 23 citations
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Abstract

We extend the consideration of the spin-$\frac{1}{2}$ transverse $\mathrm{XY}$ chain with correlated Lorentzian disorder [Phys. Rev. B 55, 14 298 (1997)] for the case of additional Dzyaloshinskii-Moriya interspin interaction. It is shown how the averaged density of states can be calculated exactly. Results are presented for the density of states and the transverse magnetization.

DOI
10.1103/physrevb.59.100

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The effects of the Dzyaloshinski—Moriya (DM) interaction on the ground-state properties of the anisotropic XY chain in a transverse field have been studied by means of correlation functions and entanglement. Different from the case without the DM interaction, the excitation spectra ∊ k of this model are not symmetrical in the momentum space and are not always positive. As a result, besides the ferromagnetic (FM) and the paramagnetic (PM) phases, a gapless chiral phase is induced. In the chiral phase, the von Neumann entropy is proportional to log 2 L ( L is the length of a subchain) with the coefficient A ≈ 1/3, which is the same as that of the XY chain in a transverse field without the DM interaction for γ = 0 and 0 < h ≤ 1. And in the vicinity of the critical point between the chiral phase and the FM (or PM) phase, the behaviors of the nearest-neighbor concurrence and its derivative are like those for the anisotropy transition.