Wave-Function Hybridization in Yu-Shiba-Rusinov Dimers.

Magnetic adsorbates on superconductors induce local bound states within the superconducting gap. These Yu-Shiba-Rusinov (YSR) states decay slowly away from the impurity compared to atomic orbitals, even in 3D bulk crystals. Here, we use scanning tunneling spectroscopy to investigate their hybridization between two nearby magnetic Mn adatoms on a superconducting Pb(001) surface. We observe that the hybridization leads to the formation of symmetric and antisymmetric combinations of YSR states. We investigate how the structure of the dimer wave functions and the energy splitting depend on the shape of the underlying monomer orbitals and the orientation of the dimer with respect to the Pb lattice.

[1]  R. Sarpong,et al.  Bio-inspired synthesis of xishacorenes A, B, and C, and a new congener from fuscol† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c9sc02572c , 2019, Chemical science.

[2]  B. Bernevig,et al.  Distinguishing a Majorana zero mode using spin-resolved measurements , 2017, Science.

[3]  F. von Oppen,et al.  Exploring a Proximity-Coupled Co Chain on Pb(110) as a Possible Majorana Platform , 2017, Nano letters.

[4]  Deung-Jang Choi,et al.  Mapping the orbital structure of impurity bound states in a superconductor , 2016, Nature Communications.

[5]  B. Bernevig,et al.  High-resolution studies of the Majorana atomic chain platform , 2016, Nature Physics.

[6]  F. von Oppen,et al.  Orbital Picture of Yu-Shiba-Rusinov Multiplets. , 2016, Physical review letters.

[7]  B. Andersen,et al.  Self-organized topological superconductivity in a Yu-Shiba-Rusinov chain , 2015, 1509.07399.

[8]  J. Pascual,et al.  Magnetic anisotropy in Shiba bound states across a quantum phase transition , 2015, Nature Communications.

[9]  F. von Oppen,et al.  End States and Subgap Structure in Proximity-Coupled Chains of Magnetic Adatoms. , 2015, Physical review letters.

[10]  T. Cren,et al.  Coherent long-range magnetic bound states in a superconductor , 2015, Nature Physics.

[11]  Ernst Meyer,et al.  Probing atomic structure and Majorana wavefunctions in mono-atomic Fe chains on superconducting Pb surface , 2015, npj Quantum Information.

[12]  D. Loss,et al.  Impurity-induced quantum phase transitions and magnetic order in conventional superconductors: Competition between bound and quasiparticle states , 2015, 1503.08762.

[13]  J. Pascual,et al.  Experimental demonstration of a two-band superconducting state for lead using scanning tunneling spectroscopy. , 2014, Physical review letters.

[14]  Jian Li,et al.  Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor , 2014, Science.

[15]  N. Yao,et al.  Phase diagram and excitations of a Shiba molecule , 2014, 1403.4611.

[16]  N. Yao,et al.  Enhanced antiferromagnetic exchange between magnetic impurities in a superconducting host. , 2013, Physical review letters.

[17]  L. Glazman,et al.  Topological superconducting phase in helical Shiba chains , 2013, 1308.3969.

[18]  B. Bernevig,et al.  Proposal for realizing Majorana fermions in chains of magnetic atoms on a superconductor , 2013, 1303.6363.

[19]  J. Pascual,et al.  Competition of Superconducting Phenomena and Kondo Screening at the Nanoscale , 2011, Science.

[20]  T. Pruschke,et al.  Effects of magnetic anisotropy on the subgap excitations induced by quantum impurities in a superconducting host , 2011 .

[21]  Stefan Blügel,et al.  Strength and directionality of surface Ruderman–Kittel–Kasuya–Yosida interaction mapped on the atomic scale , 2010 .

[22]  W. Duan,et al.  High-resolution scanning tunneling spectroscopy of magnetic impurity induced bound states in the superconducting gap of Pb thin films. , 2008, Physical review letters.

[23]  E. Demler,et al.  Spin-resolved spectra of Shiba multiplets from Mn impurities in MgB 2 , 2008, 0805.0700.

[24]  D. Morr,et al.  Quantum interference between impurities: Creating novel many-body states ins-wave superconductors , 2002, cond-mat/0205328.

[25]  David E. Reynolds,et al.  Local spectrum of a superconductor as a probe of interactions between magnetic impurities , 1999, cond-mat/9912195.

[26]  Ali Yazdani,et al.  Probing the Local Effects of Magnetic Impurities on Superconductivity , 1997, Science.

[27]  E. N. Mitchell,et al.  Measurement of the superconducting energy gap and Fermi velocity in single-crystal lead films by electron tunneling , 1971 .

[28]  Hiroyuki Shiba,et al.  Classical Spins in Superconductors , 1968 .

[29]  J. Schrieffer.  The Kondo Effect—The Link Between Magnetic and Nonmagnetic Impurities in Metals? , 1967 .