Abstract
Magnetoresistance (MR) in general is nonzero and anisotropic. A spectacular anisotropy observed in Cu is explained based on the nonspherical Fermi surface of this metal in this chapter. Magnetic oscillations found in the susceptibility also manifest themselves in magnetoresistance at low temperatures. A quantum theory is developed for the Shubnikov–de Haas oscillation for a 2D system.
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.
Â
A.B. Pippard, Magnetoresistance in Metals (Cambridge University Press, Cambridge, UK, 1989), pp. 3–5.
J.R. Klauder and J.E. Kunzler, in The Fermi Surface, eds. Harrison and Webb (Wiley, New York, 1960).
L.W. Shubnikov and W.J. de Haas, Proc. Netherlands Royal Acad. Sci.. 33, 130 and 163 (1930).
F.E. Richard, Phys. Rev. B 8, 2552 (1973).
M.A. Zudov et al., Phys. Rev. B 64 201311 (2001).
R.G. Mani et al., Nature 420, 646 (2002).
M.A. Zudov et al., Phys. Rev. Lett. 90, 046807 (2003).
R.E. Prange and S.M. Girvin, eds., The Quantum Hall Effect, 2nd ed., (Springer-Verlag, New York, 1990); B.I. Halperin, P.A. Lee, and N. Read, Phys. Rev. B 47, 7312 (1993).
R.G. Mani, Physica E 22, 1 (2004).
R.B. Dingle, Proc. Roy. Soc. A 211, 500 (1952).
D.C. Tsui, 4. DFG-Rundgespräch über den Quanten Hall Effekt, (Schleching, Germany, 1989).
P. Ehrenfest and J.R. Oppenheimer, Phys. Rev. 37, 333 (1931); H.A. Bethe and R.F. Bacher, Rev. Mod. Phys. 8, 193 (1936); S. Fujita and D.L. Morabito, Mod. Phys. Lett. B 12, 753 (1998).
S. Fujita et al., Phys. Rev. B 70, 075304 (2004).
J.K. Jain, Phys. Rev. Lett. 63, 199 (1989); Phys. Rev. B 40, 8079 (1989); ibid. 41, 7653 (1990); J.K. Jain, Surf. Sci. 263, 65 (1992).
R.R. Du et al., Phys. Rev. Lett. 70, 2944 (1993).
S. Fujita and K. Ito, Quantum Theory of Conducting Matter 2. Superconductivity and Quantum Hall Effect (Springer-Verlag, New York).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Fujita, S., Ito, K. (2007). Magnetoresistance. In: Quantum Theory of Conducting Matter. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74103-1_12
Download citation
DOI: https://doi.org/10.1007/978-0-387-74103-1_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-74102-4
Online ISBN: 978-0-387-74103-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)