Limits of thermal conductance quantization in chiral topological Josephson junctions

2026/02/13 by Daniel Gresta, Anonymous, Fernando Dominguez +4
Computer Science · Physics and Astronomy · #Conductance #Josephson effect #Quantization (signal processing) #Quantum Information and Cryptography #Quantum and electron transport phenomena #Thermal #Thermal conductivity #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/49z5-shpd

published as Phys. Rev. B 114, 125405 (2026) · 12 pages, 12 figures

arxiv created 2026/02/13 · openalex publication_date 2026/06/24 · openalex created_date 2026/06/25 · arxiv updated 2026/08/05 · openalex updated_date 2026/08/05

Abstract

We investigate thermal and non-local electrical transport in four-terminal Josephson junctions formed by a normal region coupled to two transverse chiral superconducting leads, supporting phases characterized by Chern numbers \cal C=0, 1 and 2. We identify the conditions under which a single chiral Majorana mode (\cal C=1) produces a robust half-quantized thermal conductance, while non-local electrical conductance remains strongly suppressed by particle-hole symmetry. Thermal conductance quantization occurs near a superconducting phase difference π, but only in the low-doping regime of the central region and in the intermediate- to long-junction limits. At finite Zeeman fields, the thermal response broadly follows the topology of the isolated superconducting leads for the C=1 phase while, in the \cal C=2 phase, the thermal conductance generally deviates from quantization, depending on the momentum-space location of the Majorana modes. Our results establish clear criteria for probing chiral Majorana modes in Josephson junctions and highlight the essential role of momentum-space structure, finite-size geometry, and sample parameters in thermal transport.

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