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Dynamical magnetic anisotropy in spin-1 molecular systemsPowerPoint Presentation

Dynamical magnetic anisotropy in spin-1 molecular systems

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Dynamical magnetic anisotropy in spin-1 molecular systems

- D. A. Ruiz–Tijerina, P. S. Cornaglia, C. Balseiro, S. E. Ulloa

Date

Electronic transport and QPTs through molecular devices

- Stretching singles out the transport axis.
- Induced anisotropy splits the spin-1 triplet ground state:

Unitary conductance - Kondo effect

Transport blockade

In the molecule, electron and phonon operators can be decoupled by means of a canonical transformation:

When coupled to leads, this strategy becomes impractical

from the hybridization to the leads

But it does provide us with some insight:

- Because of this we expect: decoupled by means of a canonical transformation:
- A dynamically-induced splitting of the triplet.
- A reduced hybridization w.r.t. the case of A1 = 0.
- Anisotropic Kondo physics w/o stretching or compression.

- Through a Schrieffer-Wolff transformation we obtain:

spin operators of the leads

can be negative, zero, positive

We have decoupled by means of a canonical transformation:more available ground states than in the static case:

NRG results: decoupled by means of a canonical transformation:spectral density and zero-bias conductance

NRG results: total effective magnetic moment decoupled by means of a canonical transformation:

NRG results: total effective magnetic moment decoupled by means of a canonical transformation:

We estimate the splitting,Δ, from numerical results

Focusing on the 2nd-stage-Kondo region decoupled by means of a canonical transformation:

Agreement of our model with analytic formula decoupled by means of a canonical transformation:

Conclusions decoupled by means of a canonical transformation:

- We explore QPTs by varying ANet.
- Coupling to vibrations deforms the ground state into the easy-axis regime.
- All effects accounted for by means of a Kondo Hamiltonian, with an a net anisotropy term.
- Analytical predictions in complete agreement with NRG calculations.

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