Edge singularities in high-energy spectra of gapped one-dimensional magnets in strong magnetic fields

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dc.creatorFriedrich, A.
dc.creatorKolezhuk, A. K.
dc.creatorMcCulloch, I. P.
dc.creatorSchollwock, U.
dc.date2006-11-30
dc.date2007-02-12
dc.date.accessioned2026-07-07T09:33:49Z
dc.date.available2026-07-07T09:33:49Z
dc.descriptionWe use the dynamical density matrix renormalization group technique to show that the high-energy part of the spectrum of a S=1 Haldane chain, placed in a strong external magnetic field $H$ exceeding the Haldane gap $Δ$, contains edge singularities, similar to those known to exist in the low-energy spectral response. It is demonstrated that in the frequency range $ω\gtrsim Δ$ the longitudinal (with respect to the applied field) dynamical structure factor is dominated by the power-law singularity $S^{\parallel}(q=π,ω)\propto(ω-ω_{0})^{-α'}$. We study the behavior of the high-energy edge exponent $α'$ and the edge $ω_{0}$ as functions of the magnetic field. The existence of edge singularities at high energies is directly related to the Tomonaga-Luttinger liquid character of the ground state at $H>Δ$ and is expected to be a general feature of one-dimensional gapped spin systems in high magnetic fields.
dc.description(v2) error in Eq.(11) corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0611772
dc.identifierhttp://arxiv.org/abs/cond-mat/0611772
dc.identifierPhys. Rev. B 75, 094414 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.094414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159271
dc.subjectStrongly Correlated Electrons
dc.titleEdge singularities in high-energy spectra of gapped one-dimensional magnets in strong magnetic fields
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