The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Anderson localization in a nonlinear-σ-model representation
Abstract
It is shown that the behavior of Anderson localization near the mobility edge is described by a noncompact nonlinear $\ensuremath{\sigma}$ model in $2+\ensuremath{\epsilon}$ dimensions. The explicit calculation in perturbation gives one-to-one correspondence with the effective Hamiltonian of the nonlinear $\ensuremath{\sigma}$ model. The renormalization-group $\ensuremath{\beta}$ function and the anisotropic effect are discussed.
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Kubo, R. (1957) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.12.570 · Cited by 9,441
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
Abrahams, E., Anderson, P. W., Licciardello, D. C., & Ramakrishnan, T. V. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.673 · Cited by 6,134
Differential Geometry and Symmetric Spaces
Helgason, S. (2001) · American Mathematical Society eBooks · doi:10.1090/chel/341 · Cited by 2,912
Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
Hikami, S., Larkin, A. I., & Nagaoka, Y. (1980) · Progress of Theoretical Physics · doi:10.1143/ptp.63.707 · Cited by 2,789
Self-citationInteraction Effects in Disordered Fermi Systems in Two Dimensions
Altshuler, B. L., Aronov, A. G., & Lee, P. A. (1980) · Physical Review Letters · doi:10.1103/physrevlett.44.1288 · Cited by 1,167
Magnetoresistance and Hall effect in a disordered two-dimensional electron gas
Altshuler, B. L., Khmel'nitzkii, D., Larkin, A. I., & Lee, P. A. (1980) · Physical Review B · doi:10.1103/physrevb.22.5142 · Cited by 1,117
Exponents for the excluded volume problem as derived by the Wilson method
de Gennes, P. G. (1972) · Physics Letters A · doi:10.1016/0375-9601(72)90149-1 · Cited by 1,024
Polyakov, A. M. (1975) · Physics Letters B · doi:10.1016/0370-2693(75)90161-6 · Cited by 959
Diagrammatic, self-consistent treatment of the Anderson localization problem ind≤2dimensions
Vollhardt, D., & Wölfle, P. (1980) · Physical Review B · doi:10.1103/physrevb.22.4666 · Cited by 675
Cited by
Localization: theory and experiment
Kramer, B., & MacKinnon, A. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/12/001 · Cited by 1,926
Supersymmetry and theory of disordered metals
Efetov, K. B. (1983) · Advances in Physics · doi:10.1080/00018738300101531 · Cited by 1,249
Correlations and Fluctuations of Coherent Wave Transmission through Disordered Media
Feng, S., Kane, C., Lee, P. A., & Stone, A. D. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.834 · Cited by 851
Anderson Localization in Two Dimensions
Lee, P. A., & Fisher, D. S. (1981) · Physical Review Letters · doi:10.1103/physrevlett.47.882 · Cited by 657
Fradkin, E. (1986) · Physical Review B · doi:10.1103/physrevb.33.3263 · Cited by 396
Metadata
- Authors
- Hikami, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1981-09-01
- Volume
- 24
- Issue
- 5
- Pages
- 2671-2679
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W3009552232
- Cited by
- 361
- References
- 27
- FWCI
- 12.21
- Type
- journal article
- Language
- en
- Open access
- closed
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