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Phys. Rev. B 62, 10373–10376 (2000)

Quantum pumping in the magnetic field: Role of discrete symmetries

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I. L. Aleiner1, B. L. Altshuler2, and A. Kamenev3
1Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, New York 11794
2Physics Department, Princeton University, New Jersey 08544NEC Research Institute, 4 Independence Way, Princeton, New Jersey 08540
3Department of Physics, Technion, Haifa 32000, Israel

Received 5 May 2000; published in the issue dated 15 October 2000

We consider an effect of the discrete spatial symmetries and magnetic field on the adiabatic charge pumping in mesoscopic systems. In the general case, there is no symmetry of the pumped charge with respect to the inversion of magnetic field Q(B)Q(-B). We find that the reflection symmetries give rise to relations Q(B)=Q(-B) or Q(B)=-Q(-B) depending on the orientation of the reflection axis. In the presence of the center of inversion Q(B)0. Additional symmetries may arise in the case of bilinear pumping.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.10373
DOI:
10.1103/PhysRevB.62.10373
PACS:
72.10.Bg, 05.45.-a