{"id":63,"date":"2021-07-18T04:07:20","date_gmt":"2021-07-18T04:07:20","guid":{"rendered":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/?page_id=63"},"modified":"2021-07-28T04:38:09","modified_gmt":"2021-07-28T04:38:09","slug":"anomalous-effects","status":"publish","type":"page","link":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/anomalous-effects\/","title":{"rendered":"Anomalous effects"},"content":{"rendered":"\n<p class=\"has-drop-cap\">&nbsp;The quantum relativistic character of the charge carriers in 2D materials give rise to plethora of exotic effects. Among the most remarkable ones we can find Klein tunneling, atomic collapse, negative refraction, the Hofstadter butterfly, anti-Klein tunneling, cloaked states and non-conventional superconductivity. Most of these effects have been confirmed experimentally. However, others remain elusive such as the <span class=\"has-inline-color has-vivid-red-color\">Zitterbewegung<\/span> (ZB) and <span class=\"has-inline-color has-vivid-cyan-blue-color\">Hartman effect<\/span> (HE).<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><\/pre>\n\n\n\n<p> The ZB originally predicted by Schr\u00f6dinger is the rapid oscillatory motion of&nbsp; relativistic particles.  <\/p>\n\n\n\n<div class=\"wp-block-media-text alignwide is-stacked-on-mobile\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"720\" src=\"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo1-1024x720.jpg\" alt=\"\" class=\"wp-image-163 size-full\" srcset=\"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo1-1024x720.jpg 1024w, https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo1-300x211.jpg 300w, https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo1-768x540.jpg 768w, https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo1.jpg 1450w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p style=\"font-size:28px\"><span class=\"has-inline-color has-vivid-red-color\">The ZB is caused by the interference between positive and negative energy states in the wave packet.<\/span><\/p>\n<\/div><\/div>\n\n\n\n<p> The frequency of ZB motion is determined by the gap between these two states and the amplitude of oscillations in a particle position is of the order of the Compton wavelength.<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"has-inline-color has-vivid-purple-color\">The HE is the tunneling effect through a barrier where the tunneling time is independent of the thickness of an opaque barrier.<\/span><span class=\"has-inline-color has-luminous-vivid-orange-color\"> <\/span>This phenomenon was first described by Thomas E. Hartman in 1962. <\/h2>\n\n\n\n<div class=\"wp-block-media-text alignwide has-media-on-the-right is-stacked-on-mobile\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"706\" src=\"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo2-1024x706.jpg\" alt=\"\" class=\"wp-image-169 size-full\" srcset=\"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo2-1024x706.jpg 1024w, https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo2-300x207.jpg 300w, https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo2-768x529.jpg 768w, https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo2-1536x1059.jpg 1536w, https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-content\/uploads\/2021\/07\/anomalo2.jpg 1925w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-vivid-cyan-blue-color has-text-color\" style=\"font-size:28px\">As a tunneling wave phenomenon it can take place in all kind of waves: matter waves, electromagnetic waves and sound waves.&nbsp;<\/p>\n<\/div><\/div>\n\n\n\n<pre class=\"wp-block-preformatted\"><\/pre>\n\n\n\n<p>In the 2DMRG we are interested in several exotic phenomena that can take place in 2D materials. Particularly, we are devoted to study ZB, HE, giant conductance, Ramsauer-Townsend effect, cloaked states, Fano resonances, Klein, and anti-Klein tunneling. In the case ZB, we have demonstrated theoretically the existence of pseudospinorial ZB in a quasi-one-dimensional graphene nanoribbon. We have found evidence of trembling antiphase oscillations in the probability density time-distribution for each graphene sublattice state. Interestingly, several features of the PZBE become tunable, even its complete disappearance at the vicinity of the Dirac points or at a symmetric pseudospin configuration. We also have a significant progress in the study of Fano resonances. For details see the section devoted to them. Currently, we are assessing: the ZB in quasi-two-dimensional nanostructures, the tunneling times in single, double, and multiple barriers. We also expect to analyze in the short and middle term the phenomena of giant conductance and Ramsauer-Townsend oscillations.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;The quantum relativistic character of the charge carriers in 2D materials give rise to plethora of exotic effects. Among the most remarkable ones we can find Klein tunneling, atomic collapse, negative refraction, the Hofstadter butterfly, anti-Klein tunneling, cloaked states and non-conventional superconductivity. Most of these effects have been confirmed experimentally. However, others remain elusive such &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/anomalous-effects\/\" class=\"more-link\">Continuar leyendo<span class=\"screen-reader-text\"> &#8220;Anomalous effects&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-63","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/pages\/63","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/comments?post=63"}],"version-history":[{"count":15,"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/pages\/63\/revisions"}],"predecessor-version":[{"id":181,"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/pages\/63\/revisions\/181"}],"wp:attachment":[{"href":"https:\/\/lumat.uaz.edu.mx\/2dmaterialsgroup\/wp-json\/wp\/v2\/media?parent=63"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}