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:.

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Dynamical magnetic anisotropy in spin-1 molecular systems

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Dynamical magnetic anisotropy in spin 1 molecular systems

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

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


Dynamical magnetic anisotropy in spin 1 molecular systems

Hamiltonian for the molecule:

Model


Dynamical magnetic anisotropy in spin 1 molecular systems

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:


Dynamical magnetic anisotropy in spin 1 molecular systems

  • Because of this we expect:

    • 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


Dynamical magnetic anisotropy in spin 1 molecular systems

We have more available ground states than in the static case:


Nrg results spectral density and zero bias conductance

NRG results:spectral density and zero-bias conductance


Nrg results total effective magnetic moment

NRG results: total effective magnetic moment


Nrg results total effective magnetic moment1

NRG results: total effective magnetic moment

We estimate the splitting,Δ, from numerical results


Focusing on the 2nd stage kondo region

Focusing on the 2nd-stage-Kondo region


Dynamical magnetic anisotropy in spin 1 molecular systems

Agreement of our model with analytic formula


Conclusions

Conclusions

  • 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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