{"id":1216,"date":"2019-08-06T12:41:55","date_gmt":"2019-08-06T12:41:55","guid":{"rendered":"https:\/\/wp.icmm.csic.es\/tgqtn\/?p=1216"},"modified":"2019-08-12T00:25:51","modified_gmt":"2019-08-11T22:25:51","slug":"random-walk-topological-transition-revealed-by-electron-counting","status":"publish","type":"post","link":"https:\/\/wp.icmm.csic.es\/npqsic\/random-walk-topological-transition-revealed-by-electron-counting\/","title":{"rendered":"Random-walk topological transition revealed by electron counting"},"content":{"rendered":"<p>G. Engelhardt, <a href=\"https:\/\/wp.icmm.csic.es\/tgqtn\/former-members\/monica-benito\/\">M. Benito,<\/a><a href=\"https:\/\/wp.icmm.csic.es\/tgqtn\/people\/gloria-platero\/\">&nbsp;G. Platero<\/a>, G. Schaller and T. Brandes.<br \/>\n<a href=\"https:\/\/journals.aps.org\/prb\/abstract\/10.1103\/PhysRevB.96.241404\">Phys. Rev. B 96, 241404(R) (2017)<\/a><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1143 alignleft\" src=\"https:\/\/wp.icmm.csic.es\/tgqtn\/wp-content\/uploads\/sites\/20\/2018\/03\/medium-300x295.png\" alt=\"\" width=\"300\" height=\"295\" srcset=\"https:\/\/wp.icmm.csic.es\/npqsic\/wp-content\/uploads\/sites\/51\/2018\/03\/medium-300x295.png 300w, https:\/\/wp.icmm.csic.es\/npqsic\/wp-content\/uploads\/sites\/51\/2018\/03\/medium-150x148.png 150w, https:\/\/wp.icmm.csic.es\/npqsic\/wp-content\/uploads\/sites\/51\/2018\/03\/medium.png 500w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>The appearance of topological effects in systems exhibiting a nontrivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic random walk version of the Su-Schrieffer-Heeger model with no relation to coherent wave dynamics. We explain that the commonly used topological invariant in the momentum space translates into an invariant in a counting-field space. This invariant gives rise to clear signatures of the topological phase in an associated escape time distribution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>G. Engelhardt, M. Benito,&nbsp;G. Platero, G. Schaller and T. Brandes. Phys. Rev. B 96, 241404(R) (2017) The appearance of topological effects in systems exhibiting a nontrivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic&#8230;<\/p>\n<p class=\"continue-reading-button\"> <a class=\"continue-reading-link\" href=\"https:\/\/wp.icmm.csic.es\/npqsic\/random-walk-topological-transition-revealed-by-electron-counting\/\">Continue reading<i class=\"crycon-right-dir\"><\/i><\/a><\/p>\n","protected":false},"author":1,"featured_media":1280,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[16,14,15,8],"tags":[],"class_list":["post-1216","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-16","category-benito","category-platero","category-publications"],"_links":{"self":[{"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/posts\/1216","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/comments?post=1216"}],"version-history":[{"count":2,"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/posts\/1216\/revisions"}],"predecessor-version":[{"id":1322,"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/posts\/1216\/revisions\/1322"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/media\/1280"}],"wp:attachment":[{"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/media?parent=1216"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/categories?post=1216"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.icmm.csic.es\/npqsic\/wp-json\/wp\/v2\/tags?post=1216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}