By U.A.Bakshi, A.P.Godse

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Extra resources for Analog And Digital Electronics

Sample text

It is thus related to the density of states at a given energy. 41] © Woodhead Publishing Limited, 2012 Physics and mathematics for nanoscale systems 17 Note that the above Green’s functions spawn 12 other versions with Fourier and inverse Fourier transforms of the space and time parameters. Physically, G>(k,tt′) is related to the propagation of electrons because it is proportional to empty states; G<(k,tt′) is related to the propagation of holes because it is proportional to the electron filling those empty states.

1 Schematic diagram of a multilayer spin valve. Although it appears visually as a two-dimensional system, electronically, it can be treated as a three-dimensional bulk system. NM, non-magnetic; FM, ferromagnetic. 2 Two-dimensional nanostructures A two-dimensional nanostructure is confined in one dimension, normally referred to as the vertical z-axis. An electron is free to move in two dimensions contained in a plane perpendicular to the confinement dimension. Semiconductor 2D electron gas is a typical example of a 2D system.

C. 23 This was great news to the MRAM community which hitherto had to rely on tiny current-carrying wires to generate magnetic (Oersted) field-to-effect magnetization switching in the magnetic tunnel junction. With the advent of spin transfer torque switching, the ‘bulky’ wires (relative to the tunnel junction) could be dispensed with. However, early experimental studies revealed that a relatively large critical current density of the order of 108 A/cm2 is required to trigger current-induced magnetization switching (CIMS) via the spin transfer torque effect.

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