1999/08/12 by Nataliya A. Zimbovskaya, Zimbovskaya, Nataliya A., Joseph L. Birman +1
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/9908184
10 pages, 1 figure (New version, October 12, with major changes in text)
openalex publication_date 1999/08/12 · arxiv created 1999/10/12 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We propose a theory for the new effects recently observed by Willett et al [1] in the magnetoresistance of a weakly modulated two dimensional electron gas near filling factor 1/2. Minima in transverse magnetoresistance and maxima in longitudinal magnetoresistance at the same magnetic field producing the new resonance structure are reported. The structure occurs due to geometric resonance of the composite fermion cyclotron orbits with the modulation period of the effective magnetic field Beff due to the applied density modulation. The transverse minimum occurs due to the inhomogeneity in the field Beff in the presence of density modulations, whereas the longitudinal maximum can arise due to a shape-effect (distortion) of the composite fermion Fermi surface (CF-FS). Thus the minima and maxima reflect different physical mechanisms. PACS numbers 71.10 Pm, 73.40 Hm, 73.20 Dx