Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions

Nature Physics - Tập 8 Số 12 - Trang 887-895 - 2012
Das, Anindya1, Ronen, Yuval1, Most, Yonatan1, Oreg, Yuval1, Heiblum, Moty1, Shtrikman, Hadas1
1Department of Condensed Matter Physics, Braun Center for Submicron Research, Weizmann Institute of Science, Rehovot 76100, Israel

Tóm tắt

Majorana fermions are the only fermionic particles that are expected to be their own antiparticles. Although elementary particles of the Majorana type have not been identified yet, quasi-particles with Majorana-like properties, born from interacting electrons in the solid, have been predicted to exist. Here, we present thorough experimental studies, backed by numerical simulations, of a system composed of an aluminium superconductor in proximity to an indium arsenide nanowire, with the latter possessing strong spin–orbit coupling and Zeeman splitting. An induced one-dimensional topological superconductor, supporting Majorana fermions at both ends, is expected to form. We concentrate on the characteristics of a distinct zero-bias conductance peak and its splitting in energy—both appearing only with a small magnetic field applied along the wire. The zero-bias conductance peak was found to be robustly tied to the Fermi energy over a wide range of system parameters. Although not providing definite proof of a Majorana state, the presented data and the simulations support its existence. New data, backed up by simulations, support the existence of Majorana fermions in the one-dimensional topological superconductor that is induced by placing an aluminium superconductor close to an indium-arsenide nanowire.

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citation_journal_title=Proc. R. Soc. Lond. Ser. A; citation_title=Quantum mechanics of many-electron systems; citation_author=PAM Dirac; citation_volume=123; citation_publication_date=1929; citation_pages=714-733; citation_doi=10.1098/rspa.1929.0094; citation_id=CR1

citation_journal_title=Il Nuovo Cimento (1924-1942); citation_title=Teoria simmetrica dell elettronee del positrone; citation_author=E Majorana; citation_volume=14; citation_publication_date=1937; citation_pages=171-184; citation_doi=10.1007/BF02961314; citation_id=CR2

citation_journal_title=Nature Phys.; citation_title=Majorana returns; citation_author=F Wilczek; citation_volume=5; citation_publication_date=2009; citation_pages=614-618; citation_doi=10.1038/nphys1380; citation_id=CR3

citation_journal_title=Phys.-Usp.; citation_title=Unpaired Majorana fermions in quantum wires; citation_author=AY Kitaev; citation_volume=44; citation_publication_date=2001; citation_pages=131-136; citation_doi=10.1070/1063-7869/44/10S/S29; citation_id=CR4

citation_journal_title=Phys. Rev. B; citation_title=Mutual friction in superfluid 3He: Effects of bound states in the vortex core; citation_author=N Kopnin, M Salomaa; citation_volume=44; citation_publication_date=1991; citation_pages=9667-9677; citation_doi=10.1103/PhysRevB.44.9667; citation_id=CR5

citation_journal_title=Rep. Prog. Phys.; citation_title=New directions in the pursuit of Majorana fermions in solid state systems; citation_author=J Alicea; citation_volume=75; citation_publication_date=2012; citation_pages=076501; citation_doi=10.1088/0034-4885/75/7/076501; citation_id=CR6

Beenakker, C. Search for Majorana fermions in superconductors. Preprint at http://arxiv.org/abs/1112.1950  (2011).

citation_journal_title=Ann. Phys.; citation_title=Fault-tolerant quantum computation by anyons; citation_author=AY Kitaev; citation_volume=303; citation_publication_date=2003; citation_pages=2-30; citation_doi=10.1016/S0003-4916(02)00018-0; citation_id=CR8

citation_journal_title=Phys. Rev. B; citation_title=Adiabatic manipulations of Majorana fermions in a three-dimensional network of quantum wires; citation_author=BI Halperin; citation_volume=85; citation_publication_date=2012; citation_pages=144501; citation_doi=10.1103/PhysRevB.85.144501; citation_id=CR9

citation_journal_title=Phys. Rev. B; citation_title=Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires; citation_author=JD Sau, DJ Clarke, S Tewari; citation_volume=84; citation_publication_date=2011; citation_pages=094505; citation_doi=10.1103/PhysRevB.84.094505; citation_id=CR10

citation_journal_title=Phys. Rev. B; citation_title=Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect; citation_author=N Read, D Green; citation_volume=61; citation_publication_date=2000; citation_pages=10267; citation_doi=10.1103/PhysRevB.61.10267; citation_id=CR11

citation_journal_title=Ann. Phys.; citation_title=Anyons in an exactly solved model and beyond; citation_author=A Kitaev; citation_volume=321; citation_publication_date=2006; citation_pages=2-111; citation_doi=10.1016/j.aop.2005.10.005; citation_id=CR12

citation_journal_title=Nature Phys.; citation_title=Non-Abelian statistics and topological quantum information processing in 1D wire networks; citation_author=J Alicea, Y Oreg, G Refael, FV Oppen, MPA Fisher; citation_volume=7; citation_publication_date=2011; citation_pages=412-417; citation_doi=10.1038/nphys1915; citation_id=CR13

citation_journal_title=Phys. Rev. Lett.; citation_title=Superconducting proximity effect and Majorana fermions at the surface of a topological insulator; citation_author=L Fu, CL Kane; citation_volume=100; citation_publication_date=2008; citation_pages=96407; citation_doi=10.1103/PhysRevLett.100.096407; citation_id=CR14

citation_journal_title=Phys. Rev. Lett.; citation_title=Generic new platform for topological quantum computation using semiconductor heterostructures; citation_author=JD Sau, RM Lutchyn, S Tewari, SD Sarma; citation_volume=104; citation_publication_date=2010; citation_pages=40502; citation_doi=10.1103/PhysRevLett.104.040502; citation_id=CR15

citation_journal_title=Phys. Rev. B; citation_title=Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems; citation_author=J Sau, S Tewari, R Lutchyn, T Stanescu; citation_volume=82; citation_publication_date=2010; citation_pages=1-59; citation_id=CR16

citation_journal_title=Phys. Rev. B; citation_title=Majorana fermions in a tunable semiconductor device; citation_author=J Alicea; citation_volume=81; citation_publication_date=2010; citation_pages=125318; citation_doi=10.1103/PhysRevB.81.125318; citation_id=CR17

citation_journal_title=Phys. Rev. Lett.; citation_title=Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures; citation_author=RM Lutchyn, JD Sau, SD Sarma; citation_volume=105; citation_publication_date=2010; citation_pages=77001; citation_doi=10.1103/PhysRevLett.105.077001; citation_id=CR18

citation_journal_title=Phys. Rev. Lett.; citation_title=Helical liquids and Majorana bound states in quantum wires; citation_author=Y Oreg, G Refael, FV Oppen; citation_volume=105; citation_publication_date=2010; citation_pages=177002; citation_doi=10.1103/PhysRevLett.105.177002; citation_id=CR19

citation_journal_title=Science; citation_title=Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices; citation_author=V Mourik; citation_volume=336; citation_publication_date=2012; citation_pages=1003-1007; citation_doi=10.1126/science.1222360; citation_id=CR20

Deng, M. T. et al. Observation of majorana fermions in a Nb–InSb nanowire-Nb hybrid quantum device. Preprint at http://arxiv.org/abs/1204.4130  (2012).

citation_journal_title=Phys. Rev. Lett.; citation_title=Multichannel generalization of Kitaev’s Majorana end states and a practical route to realize them in thin films; citation_author=AC Potter, PA Lee; citation_volume=105; citation_publication_date=2010; citation_pages=227003; citation_doi=10.1103/PhysRevLett.105.227003; citation_id=CR22

Pientka, F., Kells, G., Romito, A., Brouwer, P. W. & von Oppen, F. Enhanced zero-bias Majorana peak in disordered multi-subband quantum wires. Preprint at http://arxiv.org/abs/1206.0723  (2012).

Rainis, D., Trifunovic, L., Klinovajo, J. & Loss, D. Realistic transport modeling for a superconducting nanowire with Majorana fermions. Preprint at http://arxiv.org/abs/1207.5907v1  (2012).

citation_journal_title=J. Phys. C; citation_title=Oscillatory effects and the magnetic susceptibility of carriers in inversion layers; citation_author=YA Bychkov, E Rashba; citation_volume=17; citation_publication_date=1984; citation_pages=6039-6045; citation_doi=10.1088/0022-3719/17/33/015; citation_id=CR25

citation_journal_title=New J. Phys.; citation_title=Quantum point contact as a probe of a topological superconductor; citation_author=M Wimmer, A Akhmerov, J Dahlhaus, C Beenakker; citation_volume=13; citation_publication_date=2011; citation_pages=053016; citation_doi=10.1088/1367-2630/13/5/053016; citation_id=CR26

citation_journal_title=Phys. Rev. Lett.; citation_title=Observing majorana bound states in p-wave superconductors using noise measurements in tunneling experiments; citation_author=C Bolech, E Demler; citation_volume=98; citation_publication_date=2007; citation_pages=237002; citation_doi=10.1103/PhysRevLett.98.237002; citation_id=CR27

citation_journal_title=IEEE J. Selected Top. Quant. Electron.; citation_title=GaAs and InAs nanowires for ballistic transport; citation_author=H Shtrikman, R Popovitz-Biro, AV Kretinin, P Kacman; citation_volume=17; citation_publication_date=2011; citation_pages=922-934; citation_doi=10.1109/JSTQE.2010.2053920; citation_id=CR28

Das, A. et al. Entangling electrons by splitting Cooper pairs: Two-particle conductance resonance and time coincidence measurements. Preprint at http://arxiv.org/abs/1205.2455  (2012).

citation_journal_title=Phys. Rev. B; citation_title=Transition from metallic to tunneling regimes in superconducting microconstrictions: Excess current, charge imbalance, and supercurrent conversion; citation_author=G Blonder, M Tinkham, T Klapwijk; citation_volume=25; citation_publication_date=1982; citation_pages=4515-4532; citation_doi=10.1103/PhysRevB.25.4515; citation_id=CR30

Lin, C. H., Sau, J. D. & Sarma, S. D. Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures. Preprint at http://arxiv.org/abs/1204.3085  (2012).

Qu, C., Zhang, Y., Mao, L. & Zhang, C. Signature of majorana fermions in charge transport in semiconductor nanowires. Preprint at http://arxiv.org/abs/1109.4108  (2011).

citation_journal_title=Phys. Rev. B; citation_title=Majorana fermions in semiconductor nanowires; citation_author=TD Stanescu, RM Lutchyn, SD Sarma; citation_volume=84; citation_publication_date=2011; citation_pages=144522; citation_doi=10.1103/PhysRevB.84.144522; citation_id=CR33

Prada, E., San-Jose, P. & Aguado, R. Transport spectroscopy of NS nanowire junctions with Majorana fermions. Preprint at http://arxiv.org/abs/1203.4488  (2012).

citation_journal_title=Soviet Phys. ZhETP; citation_title=Thermal conductivity of superconductors intermediate state; citation_author=A Andreev; citation_volume=46; citation_publication_date=1964; citation_pages=1823-1828; citation_id=CR35

citation_journal_title=Phys. Rev. B; citation_title=Three signatures of phase-coherent Andreev reflection; citation_author=I Marmorkos, C Beenakker, R Jalabert; citation_volume=48; citation_publication_date=1993; citation_pages=2811-2814; citation_doi=10.1103/PhysRevB.48.2811; citation_id=CR36

citation_journal_title=Phys. Rev. Lett.; citation_title=Observation of pair currents in superconductor-semiconductor contacts; citation_author=A Kastalsky; citation_volume=67; citation_publication_date=1991; citation_pages=3026-3029; citation_doi=10.1103/PhysRevLett.67.3026; citation_id=CR37

citation_journal_title=Nature Phys.; citation_title=Andreev bound states in supercurrent-carrying carbon nanotubes revealed; citation_author=J Pillet; citation_volume=6; citation_publication_date=2010; citation_pages=965-969; citation_doi=10.1038/nphys1811; citation_id=CR38

citation_journal_title=Physica B + C; citation_title=Explanation of subharmonic energy gap structure in superconducting contacts; citation_author=T Klapwijk, G Blonder, M Tinkham; citation_volume=109; citation_publication_date=1982; citation_pages=1657-1664; citation_doi=10.1016/0378-4363(82)90189-9; citation_id=CR39

citation_journal_title=Nature; citation_title=Kondo effect in a single-electron transistor; citation_author=D Goldhaber-Gordon; citation_volume=391; citation_publication_date=1998; citation_pages=156-159; citation_doi=10.1038/34373; citation_id=CR40

citation_journal_title=Phys. Rev. B; citation_title=Spin-1/2 Kondo effect in an InAs nanowire quantum dot: Unitary limit, conductance scaling, and Zeeman splitting; citation_author=AV Kretinin; citation_volume=84; citation_publication_date=2011; citation_pages=245316; citation_doi=10.1103/PhysRevB.84.245316; citation_id=CR41

Pikulin, D., Dahlhaus, J., Wimmer, M. & Beenakker, C. Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire. Preprint at http://arxiv.org/abs/1206.6687  (2012).

citation_journal_title=Nano Lett.; citation_title=Giant fluctuations and gate control of the g-factor in InAs nanowire quantum dots; citation_author=S Csonka; citation_volume=8; citation_publication_date=2008; citation_pages=3932-3935; citation_doi=10.1021/nl802418w; citation_id=CR43

citation_journal_title=Nano Lett.; citation_title=Multimode Fabry–Perot conductance oscillations in suspended stacking-faults-free InAs nanowires; citation_author=AV Kretinin, R Popovitz-Biro, D Mahalu, H Shtrikman; citation_volume=10; citation_publication_date=2010; citation_pages=3439-3445; citation_doi=10.1021/nl101522j; citation_id=CR44

citation_journal_title=Phys. Rev. Lett.; citation_title=Direct measurement of the spin-orbit interaction in a two-electron InAs nanowire quantum dot; citation_author=C Fasth, A Fuhrer, L Samuelson, VN Golovach, D Loss; citation_volume=98; citation_publication_date=2007; citation_pages=266801; citation_doi=10.1103/PhysRevLett.98.266801; citation_id=CR45

citation_journal_title=Nature Nanotech.; citation_title=Electrically tuned spin-orbit interaction in an InAs self-assembled quantum dot; citation_author=Y Kanai; citation_volume=6; citation_publication_date=2011; citation_pages=511-516; citation_doi=10.1038/nnano.2011.103; citation_id=CR46

citation_journal_title=Phys. Rev. Lett.; citation_title=Electron teleportation via Majorana bound states in a mesoscopic superconductor; citation_author=L Fu; citation_volume=104; citation_publication_date=2010; citation_pages=56402; citation_doi=10.1103/PhysRevLett.104.056402; citation_id=CR47

citation_journal_title=Phys. Rev. Lett.; citation_title=Unconventional Josephson signatures of Majorana bound states; citation_author=L Jiang; citation_volume=107; citation_publication_date=2011; citation_pages=236401; citation_doi=10.1103/PhysRevLett.107.236401; citation_id=CR48

citation_journal_title=Phys. Rev. Lett.; citation_title=Splitting of a Cooper pair by a pair of Majorana bound states; citation_author=J Nilsson, A Akhmerov, C Beenakker; citation_volume=101; citation_publication_date=2008; citation_pages=120403; citation_doi=10.1103/PhysRevLett.101.120403; citation_id=CR49

citation_journal_title=Phys. Rev. B; citation_title=Mutation of Andreev into Majorana bound states in long superconductor- normal and superconductor-normal-superconductor junctions; citation_author=D Chevallier, D Sticlet, P Simon, C Bena; citation_volume=85; citation_publication_date=2012; citation_pages=235307; citation_doi=10.1103/PhysRevB.85.235307; citation_id=CR50