Spin Polarization Oscillations and Coherence Time in the Random Interaction Approach

<p>The spin polarization calculated in Ref. [<a href="/journals/acmp/2019/2030573/#B28">28</a>] (gray circles) and our results (black curve), to first order of the interaction picture, for level density <span class="nowrap"><svg height="15.0208pt" id="M183" style="vertical-align:-3.429399pt" version="1.1" viewbox="-0.0498162 -11.5914 67.5731 15.0208" width="67.5731pt" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M516 277C516 378 460 448 376 448C335 448 288 434 240 401C158 345 127 277 107 159C53 -161 38 -221 23 -247L28 -261C43 -260 95 -250 114 -226C122 -216 129 -199 146 -75C152 -29 157 0 164 31C182 9 206 -12 237 -12C267 -12 325 8 376 46C451 102 516 179 516 277ZM432 259C432 134 366 40 259 40C236 40 204 48 171 76L195 203C219 327 253 400 326 400C398 400 432 336 432 259Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.162,3.132)"><path d="M469 334C469 405 442 451 408 451C394 451 379 443 373 437L374 430C384 414 395 372 395 317C395 163 317 47 226 47C173 47 142 84 163 185C169 214 181 265 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version="1.1" viewbox="-0.0498162 -8.34882 41.6815 8.55521" width="41.6815pt" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M352 391C352 416 319 448 267 448C236 448 173 423 147 400C107 364 96 332 96 304C96 248 143 210 193 181C241 153 258 124 258 100C258 72 232 38 184 38C151 38 107 66 81 108C77 114 64 116 55 111C34 99 23 84 23 65C23 29 81 -12 134 -12C220 -12 325 61 325 141C325 184 297 215 234 256C194 282 161 309 161 346C161 380 188 401 217 401C255 401 279 380 301 353C308 344 313 341 325 347C341 355 352 371 352 391Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.507,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,19.77,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g 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304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,108.353,-5.741)"><path d="M556 236V289H56V236H556Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,113.913,-5.741)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g></svg>.</span> The gray circles graph published with author’s permission.</p>

Advances in Condensed Matter Physics

fig5

Figure 5

Figure 5: Spin Polarization Oscillations and Coherence Time in the Random Interaction Approach 