1999/03/11 by Ganpathy Murthy · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Composite fermion #Condensed matter physics #Electron #Fermion #Ferromagnetism #Formalism (music) #Geometry #Hamiltonian (control theory) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Scaling #Wave function #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.60.13702
18 pages, 18 encapsulated ps figures
arxiv created 1999/03/11 · openalex publication_date 1999/11/15 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05
A microscopic Hamiltonian theory of the FQHE, developed by Shankar and myself based on the fermionic Chern-Simons approach, has recently been quite successful in calculating gaps in fractional quantum hall states, and in predicting approximate scaling relations between the gaps of different fractions. I now apply this formalism towards computing magnetoexciton dispersions (including spin-flip dispersions) in the \ensuremathν=(1)/(3), (2)/(5), and (3)/(7) gapped fractions, and find approximate agreement with numerical results. I also analyze the evolution of these dispersions with increasing sample thickness, modelled by a potential soft at high momenta. New results are obtained for instabilities as a function of thickness for (2)/(5) and (3)/(7), and it is shown that the spin-polarized (2)/(5) state, in contrast to the spin-polarized (1)/(3) state, cannot be described as a simple quantum ferromagnet.