Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies
Here we report on anomalies in quantum transport at the band center of a bipartite lattice with vacancies, namely: no weak localization effect shows up, and when leads have a single channel the transmission is either one or zero. We propose that both are a consequence of the chiral symmetry and the...
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paper:paper_01631829_v69_n20_p201405_Chiappe2023-06-08T15:14:01Z Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies Sánchez, María José article chirality conductance density quantum mechanics Here we report on anomalies in quantum transport at the band center of a bipartite lattice with vacancies, namely: no weak localization effect shows up, and when leads have a single channel the transmission is either one or zero. We propose that both are a consequence of the chiral symmetry and the large number of states at the band center. The probability amplitude associated with the eigenstate that gives unit transmission resembles a classical trajectory both with or without vacancies. The large number of states allows one to build up trajectories that elude the blocking vacancies explaining the absence of weak localization. Fil:Sánchez, M.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01631829_v69_n20_p201405_Chiappe http://hdl.handle.net/20.500.12110/paper_01631829_v69_n20_p201405_Chiappe |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
article chirality conductance density quantum mechanics |
spellingShingle |
article chirality conductance density quantum mechanics Sánchez, María José Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies |
topic_facet |
article chirality conductance density quantum mechanics |
description |
Here we report on anomalies in quantum transport at the band center of a bipartite lattice with vacancies, namely: no weak localization effect shows up, and when leads have a single channel the transmission is either one or zero. We propose that both are a consequence of the chiral symmetry and the large number of states at the band center. The probability amplitude associated with the eigenstate that gives unit transmission resembles a classical trajectory both with or without vacancies. The large number of states allows one to build up trajectories that elude the blocking vacancies explaining the absence of weak localization. |
author |
Sánchez, María José |
author_facet |
Sánchez, María José |
author_sort |
Sánchez, María José |
title |
Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies |
title_short |
Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies |
title_full |
Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies |
title_fullStr |
Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies |
title_full_unstemmed |
Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies |
title_sort |
classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies |
publishDate |
2004 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01631829_v69_n20_p201405_Chiappe http://hdl.handle.net/20.500.12110/paper_01631829_v69_n20_p201405_Chiappe |
work_keys_str_mv |
AT sanchezmariajose classicaltrajectoriesinquantumtransportatthebandcenterofbipartitelatticeswithorwithoutvacancies |
_version_ |
1768545413444403200 |