Spin diffusion in spin glasses requires two magnetic variables, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo>⃗</mml:mo></mml:mover></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover accent="true"><mml:mi>m</mml:mi><mml:mo>⃗</mml:mo></mml:mover></mml:math>

نویسندگان

چکیده

Experiment has established that spin-glasses can support a steady-state spin current $\vec{j}_{i}$. However, the accepted theory of glass dynamics permits oscillations but no current. Onsager's irreversible thermodynamics implies is proportional to gradient magnetization. We argue, however, magnon distribution function associated with local equilibrium magnetization $\vec{M}$ cannot diffuse because it represents $10^{23}$ variables. therefore invoke non-equilibrium $\vec{m}$, which in spintronics called {\it accumulation}. Applying we indeed find predicts diffusion, and consider other experimental consequences theory, including wavelength-dependent coupling between reactive diffusive degrees freedom.

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ژورنال

عنوان ژورنال: Physical review

سال: 2023

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevb.107.094438