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Advances in Condensed Matter Physics
Volume 2015, Article ID 397630, 4 pages
http://dx.doi.org/10.1155/2015/397630
Research Article

Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions

National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, FL 32306, USA

Received 12 October 2014; Revised 11 February 2015; Accepted 12 February 2015

Academic Editor: Jan A. Jung

Copyright © 2015 Mohammad Pouranvari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. Peschel and V. Eisler, “Reduced density matrices and entanglement entropy in free lattice models,” Journal of Physics A. Mathematical and Theoretical, vol. 42, no. 50, Article ID 504003, 30 pages, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  2. D. Gioev and I. Klich, “Entanglement entropy of fermions in any dimension and the widom conjecture,” Physical Review Letters, vol. 96, Article ID 100503, 2006. View at Publisher · View at Google Scholar
  3. M. M. Wolf, “Violation of the entropic area law for fermions,” Physical Review Letters, vol. 96, Article ID 010404, 2006. View at Publisher · View at Google Scholar
  4. B. Swingle, “Entanglement entropy and the Fermi surface,” Physical Review Letters, vol. 105, no. 5, Article ID 050502, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  5. W. Ding, A. Seidel, and K. Yang, “Entanglement entropy of fermi liquids via multidimensional bosonization,” Physical Review X, vol. 2, no. 1, Article ID 011012, 18 pages, 2012. View at Publisher · View at Google Scholar
  6. H.-H. Lai, K. Yang, and N. E. Bonesteel, “Violation of the entanglement area law in bosonic systems with Bose surfaces: possible application to Bose metals,” Physical Review Letters, vol. 111, no. 21, Article ID 210402, 2013. View at Publisher · View at Google Scholar · View at Scopus
  7. M. Pouranvari and K. Yang, “Maximally entangled mode, metal-insulator transition, and violation of entanglement area law in noninteracting fermion ground states,” Physical Review B, vol. 89, Article ID 115104, 2014. View at Publisher · View at Google Scholar
  8. P. W. Anderson, “Absence of diffusion in certain random lattices,” Physical Review, vol. 109, no. 5, pp. 1492–1505, 1958. View at Publisher · View at Google Scholar
  9. N. Laorencie, “Scaling of entanglement entropy in the random singlet phase,” Physical Review B, vol. 72, no. 14, Article ID 140408(R), 4 pages, 2005. View at Publisher · View at Google Scholar
  10. I. Peschel, “Calculation of reduced density matrices from correlation functions,” Journal of Physics A: Mathematical and General, vol. 36, no. 14, pp. L205–L208, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  11. A. MacKinnon and B. Kramer, “One-Parameter scaling of localization length and conductance in disordered systems,” Physical Review Letters, vol. 47, article 1546, 1981. View at Publisher · View at Google Scholar · View at Scopus
  12. A. MacKinnon and B. Kramer, “The scaling theory of electrons in disordered solids: additional numerical results,” Zeitschrift für Physik B: Condensed Matter, vol. 53, no. 1, pp. 1–13, 1983. View at Publisher · View at Google Scholar · View at Scopus
  13. D. H. Dunlap, H.-L. Wu, and P. W. Phillips, “Absence of localization in a random-dimer model,” Physical Review Letters, vol. 65, no. 1, pp. 88–91, 1990. View at Publisher · View at Google Scholar
  14. A. D. Mirlin, Y. V. Fyodorov, F.-M. Dittes, J. Quezada, and T. H. Seligman, “Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices,” Physical Review E—Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 54, no. 4, pp. 3221–3234, 1996. View at Google Scholar · View at Scopus
  15. R. Berkovits, “Entanglement entropy in a one-dimensional disordered interacting system: the role of localization,” Physical Review Letters, vol. 108, no. 17, Article ID 176803, 5 pages, 2012. View at Publisher · View at Google Scholar
  16. L. Pastur and V. Slavin, “Area law scaling for the entropy of disordered quasifree fermions,” Physical Review Letters, vol. 113, Article ID 150404, 2014. View at Publisher · View at Google Scholar
  17. A. C. Potter, “Boundary-law scaling of entanglement entropy in diffusive metals,” http://arxiv.org/abs/1408.1094.