What is it about?

The new field of spintronics promises to provide a future replacement for electronic devices. The study of spin transport, however, is still at a preliminary stage from a mathematical point of view. In this paper, we review a few results in this direction with comparison to the known literature about electronic transport. In particular, these results apply to quantum Hall effect and quantum spin Hall effect.

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Why is it important?

This paper reviews a few recent advancements in the mathematical theory of spin transport in comparison with the well-established theory of charge transport.

Perspectives

The paper is kept fairly non-technical, in order to make it readable for a broad audience from physics and mathematics.

Dr. Giovanna Marcelli
Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste

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This page is a summary of: From charge to spin: Analogies and differences in quantum transport coefficients, Journal of Mathematical Physics, July 2022, American Institute of Physics, DOI: 10.1063/5.0089786.
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