TY - JOUR
T1 - Topological transconductance quantization in a four-terminal Josephson junction
AU - Eriksson, Erik
AU - Riwar, Roman Pascal
AU - Houzet, Manuel
AU - Meyer, Julia S.
AU - Nazarov, Yuli V.
PY - 2017/2/14
Y1 - 2017/2/14
N2 - Recently we predicted that the Andreev bound-state spectrum of four-terminal Josephson junctions may possess topologically protected zero-energy Weyl singularities, which manifest themselves in a quantized transconductance in units of 4e2/h when two of the terminals are voltage biased [R.-P. Riwar, M. Houzet, J. S. Meyer, and Y. V. Nazarov, Nature Commun. 7, 11167 (2016)2041-172310.1038/ncomms11167]. Here, using the Landauer-Büttiker scattering theory, we compute numerically the currents flowing through such a structure in order to assess the conditions for observing this effect. We show that the voltage below which the transconductance becomes quantized is determined by the interplay of nonadiabatic transitions between Andreev bound states and inelastic relaxation processes. We demonstrate that the topological quantization of the transconductance can be observed at voltages of the order of 10-2Δ/e,Δ being the the superconducting gap in the leads.
AB - Recently we predicted that the Andreev bound-state spectrum of four-terminal Josephson junctions may possess topologically protected zero-energy Weyl singularities, which manifest themselves in a quantized transconductance in units of 4e2/h when two of the terminals are voltage biased [R.-P. Riwar, M. Houzet, J. S. Meyer, and Y. V. Nazarov, Nature Commun. 7, 11167 (2016)2041-172310.1038/ncomms11167]. Here, using the Landauer-Büttiker scattering theory, we compute numerically the currents flowing through such a structure in order to assess the conditions for observing this effect. We show that the voltage below which the transconductance becomes quantized is determined by the interplay of nonadiabatic transitions between Andreev bound states and inelastic relaxation processes. We demonstrate that the topological quantization of the transconductance can be observed at voltages of the order of 10-2Δ/e,Δ being the the superconducting gap in the leads.
UR - http://resolver.tudelft.nl/uuid:0a08e5c0-a189-490d-b88f-192819234a24
UR - http://www.scopus.com/inward/record.url?scp=85013059299&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.95.075417
DO - 10.1103/PhysRevB.95.075417
M3 - Article
AN - SCOPUS:85013059299
SN - 1098-0121
VL - 95
JO - Physical Review B (Condensed Matter and Materials Physics)
JF - Physical Review B (Condensed Matter and Materials Physics)
IS - 7
M1 - 075417
ER -