von Neumann entropy spectra and entangled excitations in spin-orbital models

Wen-Long You, Andrzej M. Oleś, and Peter Horsch
Phys. Rev. B 86, 094412 – Published 10 September 2012

Abstract

We consider the low-energy excitations of one-dimensional spin-orbital models which consist of spin waves, orbital waves, and joint spin-orbital excitations. Among the latter we identify strongly entangled spin-orbital bound states and spin-orbital quasiparticle states which appear as peaks in the von Neumann entropy spectral function introduced in this work. We present the scaling of the von Neumann entropy with system size and find a qualitatively different behavior for the bound state and the quasiparticle—the strong entanglement of these states is manifested by a universal logarithmic scaling of the von Neumann entropy with system size, while the entropy saturates for other spin-orbital excitations. We suggest that spin-orbital entanglement can be experimentally explored by the measurement of the dynamical spin-orbital correlations using resonant inelastic x-ray scattering, where strong spin-orbit coupling associated with the core hole plays a role.

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  • Received 30 March 2012

DOI:https://doi.org/10.1103/PhysRevB.86.094412

©2012 American Physical Society

Authors & Affiliations

Wen-Long You1,2, Andrzej M. Oleś1,3, and Peter Horsch1

  • 1Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
  • 2School of Physical Science and Technology, Soochow University, Suzhou, Jiangsu 215006, People's Republic of China
  • 3Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, PL-30059 Kraków, Poland

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Vol. 86, Iss. 9 — 1 September 2012

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