• Magnetoresistance in quantum Hall metals due to Pancharatnam wavefunction transformation and degenerate Landau levels

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      https://www.ias.ac.in/article/fulltext/pram/085/01/0161-0172

    • Keywords

       

      Quantum Hall metals; fractional and integer quantum Hall effects; Pancharatnam wavefunction transformation; degenerate Landau levels.

    • Abstract

       

      We derive the trial Hall resistance formula for the quantum Hall metals to address both the integer and fractional quantum Hall effects. Within the degenerate (and crossed) Landau levels, and in the presence of changing magnetic field strength, one can invoke two physical processes responsible for the electron conduction and quantum Hall effects in Fermi metals. One of the process requires the Pancharatnam wavefunction transformation, while the second involves electron transfer between two orthogonalized wavefunctions (within the degenerate and crossed Landau levels). We discuss the relevant physical postulates with respect to these physical processes to qualitatively reproduce the measured Hall resistance’s zigzag curve for both the integer and the fractional filling factors. Along the way, we give out some evidence to contradict the postulates with experiments.

    • Author Affiliations

       

      Andrew Das Arulsamy1

      1. Condensed Matter Group, Institute of Interdisciplinary Science, No. 24, Level-4, Block C, Lorong Bahagia, Pandamaran, 42000 Port Klang, Selangor DE, Malaysia
    • Dates

       
  • Pramana – Journal of Physics | News

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