Chaotic quantum transport through spatially symmetric microstructures in the symplectic ensemble

Fuente: arXiv
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Main Authors: Castañeda-Ramírez, Felipe, Martínez-Mares, Moisés
Format: Preprint
Published: 2025
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author Castañeda-Ramírez, Felipe
Martínez-Mares, Moisés
author_facet Castañeda-Ramírez, Felipe
Martínez-Mares, Moisés
contents Quantum transport through left-right symmetric chaotic cavities in the presence of the symplectic symmetry, is studied through the statistical distribution of the dimensionless conductance. With this particular point symmetry, their associated scattering matrices are blocky diagonalized by a rotation by an angle of $π/4$. Although the formulation is established for an arbitrary number channels N, we present explicit calculations for N=1 and N=2, the last one showing the weak anti-localization phenomenon due to the symplectic symmetry.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20270
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chaotic quantum transport through spatially symmetric microstructures in the symplectic ensemble
Castañeda-Ramírez, Felipe
Martínez-Mares, Moisés
Mesoscale and Nanoscale Physics
Quantum transport through left-right symmetric chaotic cavities in the presence of the symplectic symmetry, is studied through the statistical distribution of the dimensionless conductance. With this particular point symmetry, their associated scattering matrices are blocky diagonalized by a rotation by an angle of $π/4$. Although the formulation is established for an arbitrary number channels N, we present explicit calculations for N=1 and N=2, the last one showing the weak anti-localization phenomenon due to the symplectic symmetry.
title Chaotic quantum transport through spatially symmetric microstructures in the symplectic ensemble
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2502.20270