A UNIFIED QUANTUM HALL CLOSE-PACKED COMPOSITE BOSON (CPCB) MODEL

摘要: Single-wavelength Landau cyclotron orbitals (SWOs) have been used as quantum Hall basis states to reproduce integer plateaus in a two-dimensional (2D) close-packing representation. But at the high magnetic fields B that correspond fractional plateaus, these SWOs are too small give close packing. It is conventionally assumed formed from collective electron excitations (CEEs). However, by invoking use of multiple-wavelength (MWOs), we can close-pack same manner plateaus. Quantum characterized filling fractions ν≡ne/nφ=k/m, where k=1, 2,... (all integers) and m=1, 3,... odd integers), ne nφ 2D e flux φ=h/e densities, respectively. A composite particle (CP) bound state an m quanta φ. If even or odd, CP fermion (CF) boson (CB). In CEE models, both CF CB formalisms used. alternative MWO approach introduced here, close-packed MWOs on ν=k/m plateau each contain de Broglie wavelengths λ. Each traps mφ external quanta, produces diamagnetic induced carries fraction ν, which accounts for extreme accuracy (one part 108) conductance, σH=νe2/h. Since states, they form condensate (CPCB) states. The m=1 (m<1) CPCBs tile (fractional) index k corresponds layers CPCB orbitals. Plateau formation itself due linear dependence density decoupled semiconductor substrate, hence may large m* effective mass values. THE near ν=1/2 non-plateau region m=2