<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Lambropoulos, K.</style></author><author><style face="normal" font="default" size="100%">Chatzieleftheriou, M.</style></author><author><style face="normal" font="default" size="100%">Morphis, A.</style></author><author><style face="normal" font="default" size="100%">Kaklamanis, K.</style></author><author><style face="normal" font="default" size="100%">Theodorakou, M.</style></author><author><style face="normal" font="default" size="100%">Simserides, C.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Unbiased charge oscillations in B-DNA: Monomer polymers and dimer polymers</style></title><secondary-title><style face="normal" font="default" size="100%">Physical Review E - Statistical, Nonlinear, and Soft Matter Physics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2015</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032725</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">3</style></number><volume><style face="normal" font="default" size="100%">92</style></volume><pages><style face="normal" font="default" size="100%">032725</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">We call &lt;em&gt;monomer&lt;/em&gt; a B-DNA base pair and examine, analytically and numerically, electron or hole oscillations in monomer and dimer polymers, i.e., periodic sequences with repetition unit made of one or two monomers. We employ a tight-binding (TB) approach at the base-pair level to readily determine the spatiotemporal evolution of a single extra carrier along a &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-1-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-1&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-2&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-3&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.085em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;N&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; base-pair B-DNA segment. We study highest occupied molecular orbital and lowest unoccupied molecular orbital eigenspectra as well as the mean over time probabilities to find the carrier at a particular monomer. We use the pure mean transfer rate &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-2-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-4&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-5&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-6&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;k&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; to evaluate the easiness of charge transfer. The inverse decay length &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-3-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-7&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-8&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-9&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.491em; padding-right: 0.007em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;β&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; for exponential fits &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-4-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-10&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-11&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-12&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-13&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;k&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-14&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-15&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.003em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;d&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-16&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;, where &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-5-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-17&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-18&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-19&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.003em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;d&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; is the charge transfer distance, and the exponent &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-6-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-20&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-21&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-22&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.247em; padding-bottom: 0.491em; padding-right: 0.006em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;η&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; for power-law fits &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-7-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-23&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-24&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-25&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-26&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;k&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-27&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-28&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.085em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;N&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-29&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; are computed; generally power-law fits are better. We illustrate that increasing the number of different parameters involved in the TB description, the fall of &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-8-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-30&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-31&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-32&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-33&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;k&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-34&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-35&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.003em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;d&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-36&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; or &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-9-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-37&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-38&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-39&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-40&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;k&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-41&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-42&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.085em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;N&lt;/span&gt;&lt;/span&gt;&lt;span id=&quot;MJXc-Node-43&quot; class=&quot;mjx-mo&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.614em;&quot; class=&quot;mjx-char MJXc-TeX-main-R&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; becomes steeper and show the range covered by &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-10-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-44&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-45&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-46&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.491em; padding-bottom: 0.491em; padding-right: 0.007em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;β&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; and &lt;span class=&quot;aps-inline-formula&quot;&gt;&lt;span id=&quot;MathJax-Element-11-Frame&quot; style=&quot;font-size: 117%;&quot; class=&quot;mjx-chtml MathJax_CHTML&quot;&gt;&lt;span id=&quot;MJXc-Node-47&quot; class=&quot;mjx-math&quot;&gt;&lt;span id=&quot;MJXc-Node-48&quot; class=&quot;mjx-mrow&quot;&gt;&lt;span id=&quot;MJXc-Node-49&quot; class=&quot;mjx-mi&quot;&gt;&lt;span style=&quot;padding-top: 0.247em; padding-bottom: 0.491em; padding-right: 0.006em;&quot; class=&quot;mjx-char MJXc-TeX-math-I&quot;&gt;η&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;. Finally, for both the time-independent and the time-dependent problems, we analyze the &lt;em&gt;palindromicity&lt;/em&gt; and the &lt;em&gt;degree of eigenspectrum dependence&lt;/em&gt; of the probabilities to find the carrier at a particular monomer.</style></abstract><notes><style face="normal" font="default" size="100%">cited By 16</style></notes></record></records></xml>