By Feynman, Leyton, Sands

The Feynman Lectures on Physics is a 1964 physics textbook by way of Richard P. Feynman, Robert B. Leighton and Matthew Sands, dependent upon the lectures given by way of Feynman to undergraduate scholars on the California Institute of expertise (Caltech) in 1961–1963. It comprises lectures on arithmetic, electromagnetism, Newtonian physics, quantum physics, and the relation of physics to different sciences.

The first quantity specializes in mechanics, radiation, and heat.

The moment quantity is principally on electromagnetism and matter.

The 3rd quantity, on quantum mechanics, indicates, for instance, how the double-slit test includes the fundamental gains of quantum mechanics.

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Valenzuela, T. ), Spin Current, Oxford University Press, Oxford, 2012. J. T. J. van Wees, Nature 410 (2001) 345–348. [4] S. Takahashi, S. Maekawa, J. Phys. Soc. Jpn. 77 (2008) 031009. [5] Y. Kajiwara, K. Harii, S. Takahashi, J. Ohe, K. Uchida, M. Mizuguchi, H. Umezawa, H. Kawai, K. Ando, K. Takanashi, S. Maekawa, E. Saitoh, Nature 464 (2010) 262–266. [6] H. Adachi, K. Uchida, E. Saitoh, S. Maekawa, Rep. Prog. Phys. 76 (2013) 036501. [7] J. P. , J. Phys. Condens. Matter 19 (2007) 183201. [8] T. A.

53 54 Ssu-Yen Huang et al. The exploration of spintronics has recently advanced to the exploitation of pure spin currents. A pure spin current contains a flow of spin angular momentum without the accompaniment of a charge current. In a metal, a pure spin current can be realized by compelling electrons of opposite spins to move in opposite directions. A pure spin current can also be carried by spin waves (magnons) in a ferromagnetic insulator or metal. A spin current delivers spin angular momentum using a minimal number of charge carriers in a metal or no carriers at all in a ferromagnetic insulator.

The central quantity that characterizes the SSE is the spin current Js injected into the nonmagnetic metal N, since it is proportional to the experimentally detectable electric voltage via the ISHE (Eq. 5). This quantity can be calculated as the rate of change of the conduction-electron spin density in N as Js ¼ AÀ1<@ tsz(t)> where A is the area of the F/N interface. Performing the perturbative approach in Eq. t ℏA ð1:23Þ where sÆ ¼Ðsx Æ isy and mÆ ¼ mx Æ imy. Introducing the Fourier representaÀiot and using the fact that the right-hand side of Eq.