Finite-Temperature Transconductance of Multiterminal Josephson Junctions with Topological Andreev Spectra
Abstract
Multiterminal Josephson junctions (MTJJs) provide a controllable platform for engineering topological Andreev spectra. At zero temperature, Andreev bound states (ABSs) with nonzero Chern numbers give rise to quantized transconductance between superconducting terminals. We derive the finite-temperature transconductance of MTJJs using linear-response theory. We first demonstrate the destructive role of temperature: changes in the thermal occupations of the ABSs destroy exact transconductance quantization. We then show that finite temperature can also play a constructive role by making the transconductance sensitive to finite-energy topological crossings hidden from the zero-temperature response. Our results establish the thermal limitations of transconductance quantization and identify finite-temperature transport as a probe of otherwise inaccessible topology in Andreev spectra.
Related
- Phase-Controlled Majorana Zero Modes in Altermagnetic Topological-Insulator Josephson Junctions
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- Magnetotransport experiments on side-contacted topological insulator three-terminal Josephson junctions
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BibTeX
@misc{seleznev2026finitetemperature,
title = {{Finite-Temperature Transconductance of Multiterminal Josephson Junctions with Topological Andreev Spectra}},
author = {Gleb S. Seleznev and David C. Ohnmacht and Wolfgang Belzig},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32839},
eprint = {2610.32839},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32839},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Finite-Temperature Transconductance of Multiterminal Josephson Junctions with Topological Andreev Spectra
AU - Gleb S. Seleznev
AU - David C. Ohnmacht
AU - Wolfgang Belzig
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32839
UR - https://arxiv.org/abs/2610.32839
AB - Multiterminal Josephson junctions (MTJJs) provide a controllable platform for engineering topological Andreev spectra. At zero temperature, Andreev bound states (ABSs) with nonzero Chern numbers give rise to quantized transconductance between superconducting terminals. We derive the finite-temperature transconductance of MTJJs using linear-response theory. We first demonstrate the destructive role of temperature: changes in the thermal occupations of the ABSs destroy exact transconductance quantization. We then show that finite temperature can also play a constructive role by making the transconductance sensitive to finite-energy topological crossings hidden from the zero-temperature response. Our results establish the thermal limitations of transconductance quantization and identify finite-temperature transport as a probe of otherwise inaccessible topology in Andreev spectra.
ER -