Influence of Rashba spin-orbit coupling on the 0-pi; transition and Kondo temperature in 1D superconductors

FRANCO T. LISANDRINI; IGNACIO J. HAMAD; ALEJANDRO M. LOBOS; CLAUDIO J. GAZZA

PHYSICAL REVIEW B - CONDENSED MATTER AND MATERIALS PHYSICS

American Physical Society

Lugar: New York; Año: 2019

0163-1829

Using the framework of the density-matrix renormalization group (DMRG), we study a quantum dot coupled to a superconducting nanowire with strong Rashba spin-orbit coupling. Regarding the singlet-to-doublet ?0-π? transition that takes place when the Kondo effect is overcome by thesuperconducting gap, we show that the Rashba coupling modifies the critical values at which the transition occurs, favouring the doublet phase. In addition, using a generalized Haldane?s formula for the Kondo temperature TK , we show that it is lowered by the Rashba coupling. We benchmark our DMRG results comparing them with previous numerical renormalization group (NRG) results.The excellent agreement obtained opens the possibility of studying chains or clusters of impurities coupled to superconductors by the means of DMRG.