Skip to main content
Log in

Localization in disordered systems with interactions

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

We present an improved numerical approach to the study of disorder and interactions in quasi-1D systems which combines aspects of the transfer matrix method and the density matrix renormalization group which have been successfully applied to disorder and interacting problems respectively. The method is applied to spinless fermions in 1D and a generalization to finite cross-sections is outlined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K Slevin and T Ohtsuki, Phys. Rev. Lett. 82(2), 382 (1999)

    Article  ADS  Google Scholar 

  2. S V Kravchenko, G V Kravchenko, J E Furneaux, V M Pudalov and M d’Iorio, Phys. Rev. B50(11), 8039 (1994)

    ADS  Google Scholar 

  3. D L Shepelyansky, Phys. Rev. Lett. 73(19), 2607 (1994)

    Article  ADS  Google Scholar 

  4. M Ortuño and E Cuevas, Europhys. Lett. 46, 224 (1999)

    Article  ADS  Google Scholar 

  5. S R White, Phys. Rev. Lett. 69(19), 2863 (1992)

    Article  ADS  Google Scholar 

  6. S R White, Phys. Rev. B48, 10345 (1993)

    Google Scholar 

  7. P Schmitteckert, R A Jalabert, D Weinmann and J-L Pichard, Phys. Rev. Lett. 81(11), 2308 (1998)

    Article  ADS  Google Scholar 

  8. P Schmitteckert, T Schulze, C Schuster, P Schwab and U Eckern, Phys. Rev. Lett. 80, 560 (1998)

    Article  ADS  Google Scholar 

  9. J M Carter, Disorder and interactions in 1D systems, PhD thesis (University of London, 2003)

  10. J M Carter and A MacKinnon, Phys. Rev. B72, 024208 (2005)

    Google Scholar 

  11. A MacKinnon and B Kramer, Phys. Rev. Lett. 47, 1546 (1981)

    Article  ADS  Google Scholar 

  12. A MacKinnon and B Kramer, Z. Phys. B51, 1 (1983)

    Article  ADS  Google Scholar 

  13. A L Efros and B I Shkloviskii, J. Phys. C8, L49 (1975)

    ADS  Google Scholar 

  14. P W Anderson, Phys. Rev. 109(5), 1492 (1958)

    Article  ADS  Google Scholar 

  15. P Schmitteckert, T Schulze, C Schuster, P Schwab and U Eckern, Phys. Rev. Lett. 80(3), 560 (1998)

    Article  ADS  Google Scholar 

  16. B Kramer and A MacKinnon, Rep. Prog. Phys. 56, 1469 (1993)

    Article  ADS  Google Scholar 

  17. H Pang, S Liang and J F Annett, Phys. Rev. Lett. 71(26), 4377 (1993)

    Article  ADS  Google Scholar 

  18. C N Yang and C P Yang, Phys. Rev. 150, 321 (1966)

    Article  ADS  Google Scholar 

  19. C N Yang and C P Yang, Phys. Rev. 150, 327 (1966)

    Article  ADS  Google Scholar 

  20. C N Yang and C P Yang, Phys. Rev. 151, 258 (1966)

    Article  ADS  Google Scholar 

  21. G Bouzerar and D Poilblanc, J. Phys. I France 4, 1699 (1994)

    Article  Google Scholar 

  22. P Schmitteckert and U Eckern, Phys. Rev. B53(23), 15397 (1996)

  23. D Weinmann, P Schmitteckert, R A Jalabert and J-L Pichard, Eur. Phys. J. B19, 139 (2001)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Angus MacKinnon.

Rights and permissions

Reprints and permissions

About this article

Cite this article

MacKinnon, A. Localization in disordered systems with interactions. Pramana - J Phys 70, 211–220 (2008). https://doi.org/10.1007/s12043-008-0040-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-008-0040-1

Keywords

PACS Nos

Navigation