Two-Dimensional Electron Systems in Magnetic Fields: The Current Equipartition Law

<table>Frequency distributions for the fraction <svg height="12.925" id="M126" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 21.225 12.925" width="21.225" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝛼</tspan>
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</svg> of each propagating mode in the transmission current carried by each propagating mode when each of three propagating modes is incident for <svg height="20.4125" id="M127" style="vertical-align:-2.64594pt" version="1.1" viewbox="0 0 79.375 20.4125" width="79.375" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="31.690001" y="-0.60000002">√</tspan>
<tspan style="font-size: 12.50px; " x="0" y="0">𝐾</tspan>
<tspan style="font-size: 12.50px; " x="9.5272856" y="0">𝑑</tspan>
<tspan style="font-size: 12.50px; " x="19.642214" y="0">=</tspan>
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<g>
<path d="m -28.66,70.71 20.11,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
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<tspan style="font-size: 12.50px; " x="0" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="12.503" y="0">𝜋</tspan>
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</svg>, <svg height="15.025" id="M128" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 38.825001 15.025" width="38.825001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.025)">
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<text transform="matrix(1,0,0,-1,-70.85,62.57)">
<tspan style="font-size: 12.50px; " x="0" y="0"></tspan>
<tspan style="font-size: 12.50px; " x="-1.1" y="2.54">𝐵</tspan>
<tspan style="font-size: 12.50px; " x="11.565539" y="2.54">=</tspan>
<tspan style="font-size: 12.50px; " x="23.605928" y="2.54">4</tspan>
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</svg>.</table>

Advances in Condensed Matter Physics

fig9

Figure 9

Figure 9: Two-Dimensional Electron Systems in Magnetic Fields: The Current Equipartition Law 