Abstract
Disorder effects in quantum electronic systems have led to a variety of novel phases. Fermionic systems have played a special role in our understanding of such effects. Indeed for fermions, the Pauli principle prevent the fermions to be trapped macroscopically in the minima of the random potential, making the non interacting case worthwhile to study. Disorder then leads to the rich physics of Anderson localization. Using both scaling theories and sophisticated field theoretical techniques, it is now known that electrons are localized by disorder in one and two dimensions, whereas a mobility edge exists in three dimensions. [7, 3, 1, 35, 12, 11]
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abrahams, E., P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan: 1979. Phys. Rev. Lett. 42, 673.
Abrahams, E., S. V. Kravchenko, and M. P. Sarachik: 2001. Rev. Mod. Phys. 73, 251.
Abrikosov, A. A. and J. A. Rhyzkin: 1978. Adv. Phys. 27, 147.
Altshuler, B. L. and A. G. Aronov: 1985. In: A.L. Efros and M. Pollak (eds.): Electron-electron interactions in disordered systems. Amsterdam.
Andrei, E. Y. and al.: 1988. Phys. Rev. Lett. 60, 2765.
Balents, L., C. Marchetti, and L. Radzihovsky: 1998. Phys. Rev. B 57, 7705.
Berezinskii, V. L.: 1974. Sov. Phys. JETP 38, 620.
Bonsall, L. and A. A. Maradudin: 1977. Phys. Rev. B 15, 1959.
Chitra, R., T. Giamarchi, and P. Le Doussal: 1998. Phys. Rev. Lett. 80, 3827.
Chitra, R., T. Giamarchi, and P. Le Doussal: 2001. Phys. Rev. B 65, 035312.
Efetov, K. B.: 1983. Adv. Phys. 32, 53.
Efetov, K. B., A. I. Larkin, and D. E. Khmel’nitskii: 1980. Sov. Phys. JETP 52, 568.
Eisenstein, J. P., L. N. Pfeiffer, and K. W. West: 1978. Phys. Rev. B 73, 535.
Finkelstein, A. M.: 1984. Z. Phys. B 56, 189.
Fogler, M. M. and D. A. Huse: 2000. Phys. Rev. B 62, 7553.
Giamarchi, T. and S. Bhattacharya: 2001. ‘Vortex phases’, cond-mat/0111052; Lecture notes of the 2001 Cargese school on ‘Trends in high magnetic field science’; to be published by Springer.
Giamarchi, T. and P. Le Doussal: 1994. Phys. Rev. Lett. 72, 1530.
Giamarchi, T. and P. Le Doussal: 1995. Phys. Rev. B 52, 1242.
Giamarchi, T. and P. Le Doussal: 1996a. Phys. Rev. B 53, 15206.
Giamarchi, T. and P. Le Doussal: 1996b. Phys. Rev. Lett. 76, 3408.
Giamarchi, T. and P. Le Doussal: 1997. Physica C 282-287, 363.
Giamarchi, T. and E. Orignac: 2001, ’Disordered Quantum Solids’. In: A. M. Tsvelik (ed.): New Theoretical Approaches to Strongly Correlated Systems, Vol. 23 of NATO SCIENCE SERIES: II: Mathematics, Physics and Chemistry. Dordrecht, cond-mat/0005220.
Ilani, S., A. Yacoby, D. Mahalu, and H. Shtrikman: 1999. cond-mat/9910116.
Larkin, A. I. and Y. N. Ovchinnikov: 1979. J. Low Temp. Phys 34, 409.
Le Doussal, P. and T. Giamarchi: 1998. Phys. Rev. B 57, 11356.
Le Doussal, P. and T. Giamarchi: 2000. Physica C 331, 233.
Lee, P. A. and T. V. Ramakhrishnan: 1985. Rev. Mod. Phys. 57, 287.
Li, C. C. and al: 1998. cond-mat/9810066.
Li, C. C. and et al: 2000. Phys. Rev. B 61, 10905.
Maki, K. and X. Zotos: 1983. Phys. Rev. B 28, 4349.
Nguyen, T. T., A. Y Grosberg, and B. I. Shklovskii: 2001. cond-mat/0101103.
Perruchot, F., F. I. B. Williams, C. J. Mellor, R. Gaal, B. Sas, and M. Henini: 2000. Physica B 284, 1984.
Thomas, G. A. and R. F. Milligan: 1985, ’The Metal Insulator Transition’. Ann. Rev. Phys. Chem. 36, 139.
Togawa et al., Y.: 2000. Phys. Rev. Lett. 85, 3716.
Wegner, F.: 1979. Z. Phys. B 35, 207.
Wigner, E.: 1934. Phys. Rev. 46, 1002.
Willett, R. L. and et al.: 1989. Phys. Rev. B 38, R7881.
Williams, F. I. B. and et alI 1991. Phys. Rev. Lett. 66, 3285.
Zhang, S. C., S. Kivelson, and D. H. Lee: 1992. Phys. Rev. Lett. 69, 1252.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Giamarchi, T. (2002). Disordered Wigner Crystals. In: Lerner, I.V., Althsuler, B.L., Fal’ko, V.I., Giamarchi, T. (eds) Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems. NATO Science Series, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0530-2_8
Download citation
DOI: https://doi.org/10.1007/978-94-010-0530-2_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0749-1
Online ISBN: 978-94-010-0530-2
eBook Packages: Springer Book Archive