Quantum pumping in the magnetic field: Role of discrete symmetries

2000/05/03 by I. L. Aleǐner, I. L. Aleiner, B. L. Altshuler +1 · 6 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Subatomic Physics Research #Quantum, superfluid, helium dynamics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.62.10373

4 pages

arxiv created 2000/05/03 · openalex publication_date 2000/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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)\ensuremath≠Q(\ensuremath-B). We find that the reflection symmetries give rise to relations Q(B)=Q(\ensuremath-B) or Q(B)=\ensuremath-Q(\ensuremath-B) depending on the orientation of the reflection axis. In the presence of the center of inversion Q(B)\ensuremath≡0. Additional symmetries may arise in the case of bilinear pumping.

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