Topological zero-reflection points in multi-terminal quantum wire junctions
Abstract
We study scattering in noninteracting multi-terminal quantum wire junctions and show that junctions with dihedral symmetry can exhibit exact zero-reflection points for N ≥ 4 terminals. By analyzing the scattering matrix, we identify these reflectionless points in the (E,t') parameter space, where E is the incident particle energy and t' is the junction hopping amplitude. These points exhibit an even-odd dependence on N and converge asymptotically to a common limiting value in the large-N limit. We show that the reflectionless points are characterized by an integer winding number associated with the phase of the reflection amplitude, providing a topological description for their stability against weak on-site disorder. We also consider junctions with broken time-reversal symmetry and find that a magnetic flux can induce additional reflectionless points, including for the N = 3 case. For a four-terminal junction threaded by a π-flux, we identify a unique parameter regime in which the reflection amplitude vanishes over the entire energy band. Finally, we discuss experimental signatures through the behavior of Friedel oscillations and examine the stability of these reflectionless points in the presence of weak interactions.
Versions
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BibTeX
@misc{soori2026topological,
title = {{Topological zero-reflection points in multi-terminal quantum wire junctions}},
author = {Abhiram Soori and Udit Khanna and Diptiman Sen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.31586},
eprint = {2606.31586},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.31586},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Topological zero-reflection points in multi-terminal quantum wire junctions
AU - Abhiram Soori
AU - Udit Khanna
AU - Diptiman Sen
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2606.31586
UR - https://arxiv.org/abs/2606.31586
AB - We study scattering in noninteracting multi-terminal quantum wire junctions and show that junctions with dihedral symmetry can exhibit exact zero-reflection points for N ≥ 4 terminals. By analyzing the scattering matrix, we identify these reflectionless points in the (E,t') parameter space, where E is the incident particle energy and t' is the junction hopping amplitude. These points exhibit an even-odd dependence on N and converge asymptotically to a common limiting value in the large-N limit. We show that the reflectionless points are characterized by an integer winding number associated with the phase of the reflection amplitude, providing a topological description for their stability against weak on-site disorder. We also consider junctions with broken time-reversal symmetry and find that a magnetic flux can induce additional reflectionless points, including for the N = 3 case. For a four-terminal junction threaded by a π-flux, we identify a unique parameter regime in which the reflection amplitude vanishes over the entire energy band. Finally, we discuss experimental signatures through the behavior of Friedel oscillations and examine the stability of these reflectionless points in the presence of weak interactions.
ER -