Oscillation of the tunnel splitting in nanospin systems within the particle mapping formalism

Abstract

The oscillation of tunnel splitting in the biaxial spin system within magnetic field along the anisotropy axis is analyzed within the particle mapping approach, rather than in the (θ-ϕ) spin coherent-state representation. In our mapping procedure, the spin system is transformed into a particle moving in the restricted $S^1$ geometry whose wave function subjects to the boundary condition involving additional phase shift. We obtain the new topological phase that plays the same role as the Wess-Zumino action in spin coherent-state representation. Considering the interference of two possible trajectories, instanton and anti-instanton, we get the identical condition for the field at which tunneling is quenched, with the previous result within spin coherent-state representation.

11 pages, 1 figure; Some typographical errors have been corrected

References in corpus (1)

• Large transverse field tunnel splittings in the Fe_8 spin Hamiltonian

Cited by in corpus (5)

• Quantum phase interference and spin parity in Mn12 single-molecule magnets
• Quantum phase interference (Berry phase) in single-molecule magnets of Mn12
• Macroscopic quantum tunneling and quantum-classical phase transitions of the escape rate in large spin systems
• Intermediate spin, Schrödinger cat states and nano-magnets
• Resonant tunnelling and quenching of tunnel splitting in Wess-Zumino nanospin systems