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
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



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


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


Nrg results total effective magnetic moment1
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
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
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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