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- W3155696827 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." @default.
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- W3155696827 date "2009-04-08" @default.
- W3155696827 modified "2023-09-24" @default.
- W3155696827 title "Exchange interaction and correlations radically change behavior of a quantum particle in a classically forbidden region" @default.
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- W3155696827 doi "https://doi.org/10.1103/physreva.79.042505" @default.
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