Electron-electron interactions in the chemical bond: ``1/3” Effect in the bond length of hydrogen molecule

[摘要] The prominent ``1/3” effect observed in the Hall effect plateaus of twodimensional electron gas (2DEG) systems has been postulated to indicating 1/3 fractional charge quasiparticle excitations arising from electron-electron interactions. Tunneling shot-noise experiments on 2DEF exhibiting fractional quantum Hall effect (FQHE) shows evidence for tunnelling of particles with 𝑒 and 𝑒/3 charges for a constant band mass. A ``1/3” effect in the hydrogen molecule is seen in as much as its internuclear distance, 𝑑𝐻-𝐻 = 𝐷- + 𝐷+, with |𝐷+/𝐷-| = 1/3. This is examined in terms of electron-electron interactions involving electron- and hole quasiparticles, (𝑒-) and (â„Ž+), equivalent to those observed in FQHE shot-noise experiments. The (𝑒/𝑚) ratio of the (𝑒-) and (â„Ž+) quasiparticles is kept at 1: -3. Instead of a 2DEG, these particles are treated as being in flat Bohr orbits. A treatment in the language of charge-flux tube composites for the hydrogen atom as well as the hydrogen molecule is attempted. Such treatment gives important insights into changes in chemical potential and bond energy on crossing a phase boundary during the atom-bond transition as well as on models for FQHE itself.

[关键词] Electron-electron interactions;quantum Hall effect;hydrogen-molecule bond length.