Quantum pumping in the magnetic field: Role of discrete symmetries

I. L. Aleiner, B. L. Altshuler, A. Kamenev

Research output: Contribution to journalArticlepeer-review

57 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)10373-10376
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number15
StatePublished - Oct 15 2000
Externally publishedYes


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