Plasmon Mediation of Charge Pairing in High Temperature Superconductors

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left">Superconductor</td><td class="align_center"><span style="width: 30.4363ptpx;"><svg height="12.5794pt" id="M130" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 30.4363 12.5794" width="30.4363pt" 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="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M387 400C387 425 348 451 303 451C247 451 176 414 132 376C69 322 24 228 24 148C24 43 74 -12 147 -12C211 -12 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26V0H524Z"></path></g></svg> (meV)</td><td class="align_center"><span style="width: 32.7998ptpx;"><svg height="12.2089pt" id="M132" style="vertical-align:-2.503pt" version="1.1" viewbox="-0.0498162 -9.7059 32.7998 12.2089" width="32.7998pt" 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="M425 682C425 693 422 699 407 699C369 699 308 677 260 646C213 651 191 674 191 701C191 715 195 726 200 734L183 740C153 730 118 709 118 681C118 644 163 619 218 615C168 582 115 534 115 463C115 418 147 382 180 369C102 329 23 261 23 163C23 74 74 38 158 14C183 7 201 2 221 -2C279 -15 290 -33 290 -58C290 -94 251 -145 230 -169L252 -189C280 -171 367 -103 367 -25C367 20 333 51 266 68C245 73 218 80 191 89C139 106 107 135 107 192C107 261 161 329 221 355C248 350 281 347 314 347C330 347 370 388 370 406C370 418 366 422 352 422C321 422 280 413 255 407C218 413 192 448 192 493C192 544 229 588 266 610C309 610 354 615 376 623C397 631 425 651 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transform="matrix(.013,0,0,-0.013,30.642,0)"><path d="M387 138L374 114C336 54 316 33 240 33H141C223 167 303 295 385 423L379 437H149C112 437 100 443 94 458H73C65 415 50 352 39 314L64 305L78 332C106 388 119 403 191 403C214 403 246 403 280 403C198 270 117 142 31 15L38 0H367C382 40 399 86 413 125L387 138Z"></path></g><g transform="matrix(.013,0,0,-0.013,36.19,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left" colspan="5">Group I</td></tr><tr><td class="align_left"> YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7</sub></td><td class="align_center">92</td><td class="align_center">6.61</td><td class="align_center">0.55</td><td class="align_center">1.60</td></tr><tr><td class="align_left"> Tl<sub>2</sub>Ba<sub>2</sub>CaCu<sub>2</sub>O<sub>8</sub></td><td class="align_center">108</td><td class="align_center">7.76</td><td class="align_center">0.55</td><td class="align_center">1.87</td></tr><tr><td class="align_left"> Bi<sub>2</sub>Sr<sub>2</sub>CaCu<sub>2</sub>O<sub>8</sub></td><td class="align_center">95</td><td class="align_center">6.83</td><td class="align_center">0.55</td><td class="align_center">1.65</td></tr><tr><td class="align_left"> HgBa<sub>2</sub>Ca<sub>2</sub>Cu<sub>3</sub>O<sub>8</sub></td><td class="align_center">136</td><td class="align_center">9.78</td><td class="align_center">0.55</td><td class="align_center">2.36</td></tr><tr><td class="align_left" colspan="5"><hr/></td></tr><tr><td class="align_left" colspan="5">Group II</td></tr><tr><td class="align_left"> HgBa<sub>2</sub>CuO<sub>4</sub></td><td class="align_center">97</td><td class="align_center">6.97</td><td class="align_center">0.55</td><td class="align_center">1.68</td></tr><tr><td class="align_left"> LiFeAs</td><td class="align_center">15</td><td class="align_center">1.08</td><td class="align_center">0.55</td><td class="align_center">0.26</td></tr><tr><td class="align_left"> BaFe<sub>2</sub>(As<sub>0.7</sub>P<sub>0.3</sub>)<sub>2</sub></td><td class="align_center">30</td><td class="align_center">2.16</td><td class="align_center">0.55</td><td class="align_center">0.52</td></tr><tr><td class="align_left"> Ca<sub>0.33</sub>Na<sub>0.67</sub>Fe<sub>2</sub>As<sub>2</sub></td><td class="align_center">34</td><td class="align_center">2.44</td><td class="align_center">0.55</td><td class="align_center">0.59</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Coherence length <svg height="12.2089pt" id="M128" style="vertical-align:-2.503pt" version="1.1" viewbox="-0.0498162 -9.7059 14.9752 12.2089" width="14.9752pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M425 682C425 693 422 699 407 699C369 699 308 677 260 646C213 651 191 674 191 701C191 715 195 726 200 734L183 740C153 730 118 709 118 681C118 644 163 619 218 615C168 582 115 534 115 463C115 418 147 382 180 369C102 329 23 261 23 163C23 74 74 38 158 14C183 7 201 2 221 -2C279 -15 290 -33 290 -58C290 -94 251 -145 230 -169L252 -189C280 -171 367 -103 367 -25C367 20 333 51 266 68C245 73 218 80 191 89C139 106 107 135 107 192C107 261 161 329 221 355C248 350 281 347 314 347C330 347 370 388 370 406C370 418 366 422 352 422C321 422 280 413 255 407C218 413 192 448 192 493C192 544 229 588 266 610C309 610 354 615 376 623C397 631 425 651 425 682Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.323,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> of BFP condensate and plasmon frequency <svg height="11.5564pt" id="M129" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 17.4545 11.5564" width="17.4545pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M615 290C615 392 563 448 529 448C511 448 491 441 484 434L483 425C518 400 546 349 546 273C546 158 504 46 417 46C381 46 356 77 356 142C356 184 380 293 392 334L387 340L307 323C305 288 296 228 287 188C265 94 221 52 180 52C144 52 112 89 112 171C112 278 164 372 241 430L226 454C106 394 23 288 23 155C23 40 79 -12 139 -12C184 -12 245 32 285 85C292 31 322 -12 376 -12C423 -12 470 18 501 45C570 104 615 184 615 290Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.793,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> in layered superconductors.</div>

Advances in Condensed Matter Physics

tab2

Table 2

Table 2: Plasmon Mediation of Charge Pairing in High Temperature Superconductors 