Exchange interaction and correlations radically change behaviour of a quantum particle in a classically forbidden region

Abstract

Exchange interaction strongly influences the long-range behaviour of localised electron orbitals and quantum tunneling amplitudes. It violates the oscillation theorem (creates extra nodes) and produces a power-law decay instead of the usual exponential decrease at large distances. For inner orbitals inside molecules decay is $r^{-2}$, for macroscopic systems $\cos (k_{f}r)r^{-\nu }$, where $k_f$ is the Fermi momentum and $\nu =3$ for 1D, $\nu =$3.5 for 2D and $\nu =$4 for 3D crystal. Correlation corrections do not change these conclusions. Slow decay increases the exchange interaction between localized spins and the under-barrier tunneling amplitude. The under-barrier transmission coefficients in solids (e.g. for point contacts) become temperature-dependent.

Cited by in corpus (8)

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• Fullerenes and endohedrals as "big atoms"
• Slow long-range decay of bound Hartree-Fock orbitals and enhancement of the exchange interaction and tunneling
• Exchange assisted tunneling and positron annihilation on inner atomic shells
• Effect of electron exchange on atomic ionization in a strong electric field
• Exchange interaction radically changes behavior of a quantum particle in a classically forbidden region: simple model
• Exchange-assisted tunneling in the classical limit
• Big consequences of small changes (Non-locality and non-linearity of Hartree-Fock equations)