2008/06/17 by D. A. Garanin, R. Neb, R. Schilling · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic physics #Condensed matter physics #Energy (signal processing) #Lanthanide and Transition Metal Complexes #Magnetism in coordination complexes #Physics #Quantum mechanics #Spin (aerodynamics) #Spins #Thermodynamics #Zener diode #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.78.094405
published as Phys. Rev. B 78, 094405-(11) (2008) · 12 PR pages, 8 figures, submitted to PRB
arxiv created 2008/06/17 · openalex publication_date 2008/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Landau-Zener (LZ) transitions of a two-level system (e.g., electronic spin in molecular magnets) coupled to one or many environmental spins (e.g., nuclear spins) are studied. For rather general interactions the LZ problem is reduced to that of a Landau-Zener grid. It is shown analytically that environmental spins initially in their ground state do not influence the staying probability P. This changes if they are prepared in a statistical ensemble. For a more specific model with environmental spins in a transverse field, LZ transitions are studied in the case of well-separated resonances in the LZ grid. The full evolution of the system is described as a succession of elementary transitions at avoided crossings and free evolution between them. If the environmental spins are strongly coupled to the central spin, their effect on P is weak. In other cases LZ transitions are strongly suppressed and P is decreasing very slowly with the sweep-rate parameter \ensuremathε\ensuremath∝1/v, v being the energy sweep rate.