Bosonic Spectral Function and the Electron-Phonon Interaction in HTSC Cuprates

<table>Spectral weight <svg height="14.7125" id="M922" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 57.299999 14.7125" width="57.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑊</tspan>
<tspan style="font-size: 12.50px; " x="11.452748" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="15.616247" y="0">Ω</tspan>
</text>
<text transform="matrix(1,0,0,-1,-47.03,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑐</tspan>
</text>
<text transform="matrix(1,0,0,-1,-42.46,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="5.2012482" y="0">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="12.077898" y="0">)</tspan>
</text>
</g>
</g>
</svg> in the normal state for Einstein phonons with <svg height="14.6" id="M923" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 77.5625 14.6" width="77.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">Ω</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.65,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-51.9,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="24.530886" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="32.870388" y="0">K</tspan>
</text>
</g>
</g>
</svg> (full triangles) and <svg height="14.6" id="M924" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 77.5625 14.6" width="77.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">Ω</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.65,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-51.9,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="24.530886" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="32.870388" y="0">K</tspan>
</text>
</g>
</g>
</svg> (open circles, left axis). Dashed lines show <svg height="13.775" id="M925" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 17.3125 13.775" width="17.3125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.775)">
<g transform="translate(72,-60.98)">
<text transform="matrix(1,0,0,-1,-71.95,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.07,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
</g>
</g>
</svg> asymptotic. From [<a href="/journals/acmp/2010/423725/#B25">40</a>].</table>

Advances in Condensed Matter Physics

fig11

Figure 11

Figure 11: Bosonic Spectral Function and the Electron-Phonon Interaction in HTSC Cuprates 