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Spin waves and the anomalous Hall effect in ferromagnetic (Ga,Mn)As

Spin waves and the anomalous Hall effect in ferromagnetic (Ga,Mn)As

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discovered <strong>in</strong>dependently <strong>in</strong> 1988 by future Nobel Prize laureates, PeterGrünberg of <strong>the</strong> KFA research <strong>in</strong>stitute <strong>in</strong> Jülich <strong>and</strong> Albert Fert of <strong>the</strong>University of Paris-Sud [11, 12]. Shortly after, <strong>the</strong> sp<strong>in</strong> valve (Fig. 1.1a) exploit<strong>in</strong>gthis <strong>effect</strong> was put <strong>in</strong>to mass production <strong>in</strong> read heads of magnetichard disk drives by <strong>the</strong> sp<strong>in</strong>tronics guru Stuart Park<strong>in</strong> <strong>and</strong> his colleaguesat Almaden Laboratory of IBM. 3 These first simple sp<strong>in</strong>-based devices allowedto <strong>in</strong>crease <strong>the</strong> data storage capacity about 10 000 times, whilst <strong>the</strong>manufactur<strong>in</strong>g cost has dropped by 100. Ironically, <strong>the</strong> now venerable electromechanicaldisk drives are be<strong>in</strong>g supplanted by faster, nonvolatile <strong>and</strong>more reliable solid-state disks, which are not <strong>the</strong> sp<strong>in</strong>tronics’ achievement.Then, one may th<strong>in</strong>k that sp<strong>in</strong>tronics has already reached its full potential<strong>in</strong> this field. Noth<strong>in</strong>g of <strong>the</strong> k<strong>in</strong>d—it quests after what is called <strong>the</strong>holy grail of memory technology, MRAM (magnetoresistive r<strong>and</strong>om accessmemory) (Fig. 1.1c) [14, 15]. It comb<strong>in</strong>es <strong>the</strong> advantages of all memorytypes used <strong>in</strong> our computers (<strong>the</strong> density of DRAM, <strong>the</strong> speed of SRAM<strong>and</strong> <strong>the</strong> nonvolatility of flash or hard disk) with none of <strong>the</strong>ir shortcom<strong>in</strong>gs,<strong>and</strong> <strong>in</strong> <strong>the</strong> future it will replace <strong>the</strong>m with a combo memory chip. 4MRAM, <strong>in</strong>itially employ<strong>in</strong>g <strong>the</strong> GMR <strong>and</strong> later its close cous<strong>in</strong> exhibit<strong>in</strong>ghigher magnetoresistance at room temperature, <strong>the</strong> TMR <strong>effect</strong> (tunnell<strong>in</strong>gmagnetoresistance) [16], competes with o<strong>the</strong>r types of novel memories at<strong>the</strong> stage of development, like <strong>the</strong> racetrack memory <strong>in</strong>vented by Park<strong>in</strong>(Fig. 1.1b) [17] or <strong>Sp<strong>in</strong></strong> Torque Transfer RAM [18, 19]. The described devicesemploy a sp<strong>in</strong>-polarised current <strong>in</strong> metals, obta<strong>in</strong>ed by pass<strong>in</strong>g <strong>the</strong>electrons through a <strong>ferromagnetic</strong> material. The metal-based sp<strong>in</strong>tronicsdevices, toge<strong>the</strong>r with various types of magnetic sensors, utilise <strong>the</strong> sp<strong>in</strong><strong>in</strong> a passive way—for detect<strong>in</strong>g <strong>and</strong> read<strong>in</strong>g t<strong>in</strong>y magnetic fields associatedwith magnetically stored data. They are certa<strong>in</strong>ly one of <strong>the</strong> most successfultechnologies of <strong>the</strong> past decade.However, sp<strong>in</strong>tronics is projected to go beyond passive sp<strong>in</strong> usage, <strong>and</strong><strong>in</strong>troduce new applications (or even new technologies) based on <strong>the</strong> activecontrol of sp<strong>in</strong>s. In such devices, sp<strong>in</strong>s can ei<strong>the</strong>r play a peripheral role<strong>in</strong> stor<strong>in</strong>g, process<strong>in</strong>g <strong>and</strong> transmitt<strong>in</strong>g <strong>in</strong>formation by electric charges orh<strong>and</strong>le <strong>the</strong>se functions <strong>the</strong>mselves, without <strong>in</strong>volv<strong>in</strong>g charge at all. Theirqu<strong>in</strong>tessential examples are <strong>the</strong> sp<strong>in</strong>-FET (sp<strong>in</strong> field-<strong>effect</strong> transistor) <strong>and</strong>sp<strong>in</strong> logic [20]. The <strong>the</strong>oretical proposal of sp<strong>in</strong>-FET by Datta <strong>and</strong> Das <strong>in</strong>3 GMR s<strong>and</strong>wich structures <strong>in</strong> read heads of magnetic hard disk drives were commercialisedwith<strong>in</strong> ten years from <strong>the</strong> discovery of <strong>the</strong> fundamental physical <strong>effect</strong>, while atypical timel<strong>in</strong>e from discovery to <strong>the</strong> marketplace is 20–30 years [13].4 In 2006 Freescale started sell<strong>in</strong>g <strong>the</strong> first commercial MRAM modules with 4Mbit ofmemory for 25US dollars a piece. Although still of low density <strong>and</strong> quite expensive, morethan a million chips were sold. They already proved <strong>the</strong>mselves <strong>in</strong> critical programs <strong>and</strong>data storage <strong>in</strong> extreme environments, <strong>and</strong> soon will be put to use <strong>in</strong> flight control computerson <strong>the</strong> next-generation Airbus aeroplanes. Various companies work<strong>in</strong>g on MRAMestimate a realistic timeframe for a cellphone, PDA or a Disk-On-Key with MRAM as2011, while for a personal computer as 2015.15

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