Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-11-30
Phys. Rev. B 75, 094414 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
(v2) error in Eq.(11) corrected
Scientific paper
10.1103/PhysRevB.75.094414
We 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 $\Delta$, contains edge singularities, similar to those known to exist in the low-energy spectral response. It is demonstrated that in the frequency range $\omega\gtrsim \Delta$ the longitudinal (with respect to the applied field) dynamical structure factor is dominated by the power-law singularity $S^{\parallel}(q=\pi,\omega)\propto(\omega-\omega_{0})^{-\alpha'}$. We study the behavior of the high-energy edge exponent $\alpha'$ and the edge $\omega_{0}$ 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 $H>\Delta$ and is expected to be a general feature of one-dimensional gapped spin systems in high magnetic fields.
Friedrich Alexander
Kolezhuk Alexei K.
McCulloch Ian P.
Schollwöck Ulrich
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