74 citations · 98 across the 6 of their papers we have counts for
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Effect of environmental spins on Landau-Zener transitions
D. A. Garanin, R. Neb, R. Schilling
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…
Butterfly hysteresis curve is a signature of adiabatic Landau-Zener transition
Mark Vogelsberger, D. A. Garanin, Rolf Schilling
We stress that the so-called butterfly hysteresis curves observed in dynamical magnetization measurements on systems of low-spin magnetic molecules such as V-15 and V-6 are a signa…
Universal mechanism of spin relaxation in solids
E. M. Chudnovsky, D. A. Garanin, R. Schilling
We consider relaxation of a rigid spin cluster in an elastic medium in the presence of the magnetic field. Universal simple expression for spin-phonon matrix elements due to local…
Many-body Landau-Zener effect at fast sweep
D. A. Garanin, R. Schilling
The asymptotic staying probability P in the Landau-Zener effect with interaction is analytically investigated at fast sweep, epsilon = pi Delta^2/(2 hbar v) << 1. We have rigorousl…
Transitions at avoided level crossing with interaction and disorder
D. A. Garanin, R. Schilling
We investigate the influence of interaction between tunneling particles and disorder on their avoided-level-crossing transitions in the fast-sweep limit. Whereas the results confir…
Quantum Nonlinear Switching Model
D. A. Garanin, R. Schilling
We present a method, the dynamical cumulant expansion, that allows to calculate quantum corrections for time-dependent quantities of interacting spin systems or single spins with a…