Influence of Shape Anisotropy on Magnetization Dynamics Driven by Spin Hall Effect

<div><svg height="11.9316pt" id="M74" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 16.5994 11.9316" width="16.5994pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M429 650H175L169 622C251 614 259 612 244 532L174 152C163 91 152 37 135 -6C109 -72 67 -101 23 -113L33 -144C45 -143 73 -134 102 -119C186 -76 229 -1 254 133L327 532C341 609 347 613 423 622L429 650Z" id="g113-75"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="452" vert-adv-y="452"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,5.031,3.132)"><path d="M138 535C169 535 191 560 191 589C191 620 168 644 139 644S85 620 85 589C85 560 110 535 138 535ZM257 0V30C192 35 185 43 185 109V453C142 435 94 422 40 414V386C101 378 104 372 104 311V109C104 41 97 35 33 30V0H257Z" id="g58-103"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="275" vert-adv-y="275"></glyph.data></g><g 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<svg height="11.9316pt" id="M75" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 15.549 11.9316" width="15.549pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M429 650H175L169 622C251 614 259 612 244 532L174 152C163 91 152 37 135 -6C109 -72 67 -101 23 -113L33 -144C45 -143 73 -134 102 -119C186 -76 229 -1 254 133L327 532C341 609 347 613 423 622L429 650Z" id="g113-75"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="452" vert-adv-y="452"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,5.031,3.132)"><path d="M327 325C324 350 312 408 304 433C283 442 256 451 213 451C120 451 59 391 59 320C59 243 125 210 188 181C237 158 266 136 266 93C266 52 231 24 195 24C134 24 93 81 74 148L42 143C42 106 51 37 59 23C78 8 125 -12 177 -12C257 -12 345 35 345 127C345 198 292 234 216 264C171 283 131 305 131 348C131 387 156 416 195 416C243 416 277 378 297 317L327 325Z" id="g58-113"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="376" vert-adv-y="376"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.453,3.132)"><path d="M708 439H523V409C587 401 594 395 581 344C562 272 534 184 513 118H511C468 225 428 330 391 434H361C318 317 283 217 244 121H242C218 196 193 273 170 349C157 394 160 401 220 409V439H10V409C60 403 67 394 86 343C127 224 165 109 201 -10H233C273 101 314 199 353 299C393 195 432 99 475 -10H507C554 126 596 251 627 334C648 390 657 401 708 409V439Z" id="g58-117"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="698" vert-adv-y="698"></glyph.data></g></svg> dependence on long axis length of the free layer with <svg height="13.3428pt" id="M76" style="vertical-align:-5.52898pt" version="1.1" viewbox="-0.0498162 -7.81382 10.8645 13.3428" width="10.8645pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M324 430H196L233 583L223 592L145 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version="1.1" viewbox="-0.0498162 -9.28833 7.30254 9.49473" width="7.30254pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M529 97L508 118C475 75 449 58 438 58C428 58 421 66 415 104C393 234 374 403 364 496C345 670 307 712 254 712C220 712 174 691 153 669L161 645C176 653 194 658 206 658C237 658 261 640 278 562C287 522 290 483 293 434C223 269 110 105 23 9L32 -12C59 -6 85 0 108 7C152 64 251 252 300 366C307 297 315 221 337 82C346 24 363 -12 393 -12C425 -12 475 13 529 97Z" id="g113-233"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="552" vert-adv-y="552"></glyph.data></g></svg> = 2. Intermediate current density leads to stable oscillation of <svg height="6.089pt" id="M78" style="vertical-align:-0.04982042pt" version="1.1" viewbox="-0.0498162 -6.03918 11.0997 6.089" width="11.0997pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M823 0V32C771 40 767 43 767 100V293C767 395 719 454 632 454C603 454 576 441 554 426C530 409 507 394 482 376C464 421 424 454 368 454C339 454 312 442 281 422C259 409 240 395 218 379V456C157 439 89 425 42 418V389C89 382 93 373 93 315V105C93 42 88 39 30 32V0H265V32C227 38 220 43 220 100V344C248 366 273 376 297 376C334 376 366 354 366 282V100C366 41 362 38 315 32V0H546V32C501 38 494 43 494 100V302C494 317 493 331 492 342C524 369 549 376 569 376C601 376 639 359 639 277V105C639 42 632 38 588 32V0H823Z" id="g13-107"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="843" vert-adv-y="843"></glyph.data></g></svg>.</div>

Advances in Materials Science and Engineering

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Figure 3

Figure 3: Influence of Shape Anisotropy on Magnetization Dynamics Driven by Spin Hall Effect 