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arXiv · 2610.32839

Finite-Temperature Transconductance of Multiterminal Josephson Junctions with Topological Andreev Spectra

Gleb S. Seleznev·David C. Ohnmacht·Wolfgang Belzig
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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.

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Gleb S. Seleznev, David C. Ohnmacht, Wolfgang Belzig. 2026-10-23. Finite-Temperature Transconductance of Multiterminal Josephson Junctions with Topological Andreev Spectra. https://arxiv.org/abs/2610.32839

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