Materia Condensada

Classical origin for a negative magnetoresistance and for its anomalous behavior at low magnetic fields in two dimensions

Remi Jullienª, Alexander Dmitriev^b, and Michel Dyakonov^c

ª Laboratoire des Verves, Universite Montpellier 2, place E. Bataillon, 34095 Montpellier, France

^b A. F. Ioffe Physico–Technical Institute, 194021 St. Petersburg, Russia

^c Laboratoire de Physique Mathématique, Université Montpellier 2, place E. Bataillon, 34095 Montpellier, FranceLaboratoire associé au Centre National de la Recherche Scientifique (CNRS, France).

Recibido el 24 de noviembre de 2003
Aceptado el 12 de octubre de 2004

Abstract

The classical two–dimensional problem of non–interacting electrons scattered by a static impurity potential in the presence of a magnetic field is investigated both analytically and numerically. A strong negative magnetoresistance is found, due to freely circling electrons, which are not taken into account by the Boltzmann–Drude approach. Moreover, at very low magnetic fields, the resistivity turns out to be proportional to , due to a memory effect specific for backscattering events.

Keywords: Magnetotransport; magnetoresistance; semiconductors.

Resumen

El problema bidimensional de electrones no interactuantes dispensados por un potencial estático en presencia de un campo magnético, se investigó tanto analítica como numéricamente. Se encuentra una fuerte magneto–resistencia negativa debida a los electrones libres circulantes, los cuales no se contemplan en la aproximación de Boltzman–Drude. Mas aún, a un campo magnético muy pequeño, la resistividad se sale de la proporcionalidad de , debido al efecto de memoria específico para los eventos de retrodispersión.

Descriptores: Magneto–transporte; magneto–resistencia; semiconductores.

PACS: 05.60.+w; 73.40.–c; 73.50.Jt

DESCARGAR ARTÍCULO EN FORMATO PDF

References

1. B.L. Altshuler, D. Khmelnitskii, A.I. Larkin, and P.A. Lee, Phys. Rev. B 22 (1980) 5142.        [ Links ]

2. M.A. Paalanen, D.C. Tsui, and J.C.M. Hwang, Phys. Rev. Lett. 51 (1983) 2226.        [ Links ]

3. B.L. Altshuler, A.G. Aronov, and P.A. Lee, Phys. Rev. Lett. 44 (1980) 5142;         [ Links ] H. Fukuyama, J. Phys. Soc. Jpn. 48 (1980) 2169;         [ Links ] A. Houghton, J.R. Senna, and S.C. Ying, Phys. Rev. B 25 (1982) 2196, 6468;         [ Links ] S.M. Girvin, M. Jonson, and P.A. Lee, Phys. Rev. B 26 (1982) 1651.        [ Links ]

4. G.M. Gusev et al., Surface Science 305 (1994) 443;         [ Links ] 0. Yevtushenko, G. Lutjering, D. Weiss, and K. Richter, Phys. Rev. Lett. 84 (2000) 542.        [ Links ]

5. A. Dmitriev, M. Dyakonov, and R. Jullien, Phys. Rev. B 64 (2001) 233321.        [ Links ]

6. A. Dmitriev, M. Dyakonov and R. Jullien, Phys. Rev. Letters 89 (2002) 266804.        [ Links ]

7. E.M. Baskin, L.N. Magarill, and M.V. Entin, Sov. Phys. JETP 48, 365 (1978).        [ Links ]

8. A.V. Bobylev, F.A. Maaø A. Hansen, and E.H. Hauge, Phys. Rev. Letters 75 (1995) 197.        [ Links ]

9. A.V. Bobylev, F.A. Maaø, A. Hansen, and E.H. Hauge, J. Stat. Physics 87 (1997) 1205.        [ Links ]

10. A. Kuzmany and H. Spohn, Phys. Rev. E 57 (1998) 5544.        [ Links ]

11. E.M. Baskin and M.V. Entin, Physica B: Condensed Matter 249–251 (1998) 805.        [ Links ]

12. J.M.J. van Leeuwen and A. Weijland, Physica 36 (1967) 457;         [ Links ] A. Weijland and J.M.J. van Leeuwen, Physica 38 (1968) 35;         [ Links ] C. Bruin, Phys. Rev. Letters 29 (1972) 1670.        [ Links ]

13. Strictly speaking, the magnetoresistance is an analytical funcion of B: a careful analysis shows that, in a very small region around zero field, where β c², the dependence on B should be parabolic. This region is not accessible in our simulation. See V. Cheianov, A. Dmitriev, and V. Kachorovskii, to appear in Phys. Rev. B.

14. M.M. Fogler, A. Yu. Dobin, V.I. Perel, and B.I. Shklovskii, Phys. Rev. B 56 (1997) 6823;         [ Links ] A.D. Mirlin et al., Phys. Rev. Lett. 83 (1999) 2801.        [ Links ]