Polaronic Mechanism of Superconductivity in Cuprates

<table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="center" rowspan="2">S. no.</td><td align="center" rowspan="2">Frequency<br/>(y)</td><td align="center" colspan="4">Density of states</td></tr><tr class="thead"><td align="center"><svg height="11.825" id="M176" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 47.1875 11.825" width="47.1875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">1</td><td align="center">11.5</td><td align="center">0.47791324</td><td align="center">0.39120977</td><td align="center">0.212929844</td><td align="center">0.06485477</td></tr><tr><td align="left">2</td><td align="center">12.0</td><td align="center">0.303783239</td><td align="center">0.256874065</td><td align="center">0.149461031</td><td align="center">0.04809573</td></tr><tr><td align="left">3</td><td align="center">12.5</td><td align="center">0.214803743</td><td align="center">0.184567166</td><td align="center">0.11137659</td><td align="center">0.03708042</td></tr><tr><td align="left">4</td><td align="center">13.0</td><td align="center">0.161399908</td><td align="center">0.139994146</td><td align="center">0.0864163</td><td align="center">0.02943323</td></tr><tr><td align="left">5</td><td align="center">13.5</td><td align="center">0.126234662</td><td align="center">0.110167093</td><td align="center">0.0690518</td><td align="center">0.02390096</td></tr><tr><td align="left">6</td><td align="center">14.0</td><td align="center">0.101617339</td><td align="center">0.089063119</td><td align="center">0.056435285</td><td align="center">0.01976737</td></tr><tr><td align="left">7</td><td align="center">14.5</td><td align="center">0.083611432</td><td align="center">0.073510888</td><td align="center">0.046958665</td><td align="center">0.01659734</td></tr><tr><td align="left">8</td><td align="center">15.0</td><td align="center">0.069997004</td><td align="center">0.061686732</td><td align="center">0.03965028</td><td align="center">0.01411343</td></tr><tr><td align="left">9</td><td align="center">15.5</td><td align="center">0.059430763</td><td align="center">0.052471393</td><td align="center">0.033891537</td><td align="center">0.01213165</td></tr><tr><td align="left">10</td><td align="center">16.0</td><td align="center">0.051054964</td><td align="center">0.045142493</td><td align="center">0.029271859</td><td align="center">0.01052594</td></tr><tr><td align="left">11</td><td align="center">16.5</td><td align="center">0.044298094</td><td align="center">0.039214703</td><td align="center">0.025509277</td><td align="center">0.00920749</td></tr><tr><td align="left">12</td><td align="center">17.0</td><td align="center">0.038765958</td><td align="center">0.034351053</td><td align="center">0.022404542</td><td align="center">0.00811226</td></tr><tr><td align="left">13</td><td align="center">17.5</td><td align="center">0.034178738</td><td align="center">0.030311067</td><td align="center">0.019813414</td><td align="center">0.0071931</td></tr><tr><td align="left">14</td><td align="center">18.0</td><td align="center">0.030332928</td><td align="center">0.026919081</td><td align="center">0.017629272</td><td align="center">0.00641463</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Density of states <svg height="15.0875" id="M174" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 79.375 15.0875" width="79.375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> at various temperatures for <svg height="15.65" id="M175" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 93.925003 15.65" width="93.925003" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,28.45,15.45)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
<g transform="matrix(.017,-0,0,-.017,34.787,11.362)"><path d="M614 175l29 -10q-33 -109 -57 -154q-121 -26 -184 -26q-90 0 -160.5 29t-112.5 77t-63.5 105.5t-21.5 119.5q0 157 108 253t277 96q36 0 71.5 -5t69 -13.5t36.5 -8.5q15 -102 20 -150l-29 -8q-20 79 -66.5 114t-128.5 35q-119 0 -187.5 -86t-68.5 -207
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<g transform="matrix(.012,-0,0,-.012,54.862,15.45)"><path d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
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<g transform="matrix(.012,-0,0,-.012,73.888,15.45)"><path d="M447 623l8 -12l-283 -613l-74 -10l-7 11q174 283 297 551h-216q-48 0 -62.5 -12t-33.5 -63h-29q10 60 18 148h382z" id="x37"></path></g><g transform="matrix(.012,-0,0,-.012,79.599,15.45)"><path d="M535 230h-483v50h483v-50z" id="x2212"></path></g><g transform="matrix(.012,-0,0,-.012,86.583,15.45)"><path d="M536 404q0 -17 -13.5 -31.5t-26.5 -14.5q-8 0 -15 10q-11 14 -25 14q-22 0 -67 -50q-47 -52 -68 -82l37 -102q31 -88 55 -88t78 59l16 -23q-32 -48 -68.5 -78t-65.5 -30q-19 0 -37.5 20t-29.5 53l-41 116q-72 -106 -114.5 -147.5t-79.5 -41.5q-21 0 -34.5 14t-13.5 37
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</svg> system.

International Journal of Superconductivity

Polaronic Mechanism of Superconductivity in Cuprates

Table 6