Some Effective Tight-Binding Models for Electrons in DNA  Conduction: A Review

<table>Diffusion rate <svg height="13.45" id="M296" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 27.775 13.45" width="27.775" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
<tspan style="font-size: 12.50px; " x="9.8773699" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="14.040869" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="17.954308" y="0">)</tspan>
</text>
</g>
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</svg> as a function of <svg height="13.85" id="M297" style="vertical-align:-0.0627pt" version="1.1" viewbox="0 0 21.7125 13.85" width="21.7125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.85)">
<g transform="translate(72,-60.92)">
<text transform="matrix(1,0,0,-1,-71.95,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
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<text transform="matrix(1,0,0,-1,-65.55,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">−</tspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">1</tspan>
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</g>
</g>
</svg> for several fluctuation strengths <svg height="14.9375" id="M298" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 73.887497 14.9375" width="73.887497" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9375)">
<g transform="translate(72,-60.05)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
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<text transform="matrix(1,0,0,-1,-66.85,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑛</tspan>
<tspan style="font-size: 8.75px; " x="4.3497438" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,-54.15,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="23.493137" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="29.744637" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="34.945885" y="0">5</tspan>
</text>
</g>
</g>
</svg> at (a) A-T model and (b) G-C model, respectively.</table>

Advances in Condensed Matter Physics

fig7

Figure 7

Figure 7: Some Effective Tight-Binding Models for Electrons in DNA  Conduction: A Review 