The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
Open accessAbstract
There exists a variety of proposals to transform a conventional $s$-wave superconductor into a topological superconductor, supporting Majorana fermion midgap states. A necessary ingredient of these proposals is strong spin-orbit coupling. Here we propose an alternative system consisting of a one-dimensional chain of magnetic nanoparticles on a superconducting substrate. No spin-orbit coupling in the superconductor is needed. We calculate the topological quantum number of a chain of finite length, including the competing effects of disorder in the orientation of the magnetic moments and in the hopping energies, to identify the transition into the topologically nontrivial state (with Majorana fermions at the end points of the chain).
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Cites
Magnetic Nanoparticles: Synthesis, Protection, Functionalization, and Application
Lu, A., Salabas, E. L., & Schüth, F. (2007) · Angewandte Chemie International Edition · doi:10.1002/anie.200602866 · Cited by 6,777
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,770
Lutchyn, R. M., Sau, J. D., & Das Sarma, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.077001 · Cited by 3,435
Helical Liquids and Majorana Bound States in Quantum Wires
Oreg, Y., Refael, G., & von Oppen, F. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.177002 · Cited by 3,167
Relation between the Anderson and Kondo Hamiltonians
Schrieffer, J. R., & Wolff, P. A. (1966) · Physical Review · doi:10.1103/physrev.149.491 · Cited by 2,389
On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
Foldy, L. L., & Wouthuysen, S. A. (1950) · Physical Review · doi:10.1103/physrev.78.29 · Cited by 2,183
Topological insulators and superconductors: tenfold way and dimensional hierarchy
Ryu, S., Schnyder, A. P., Furusaki, A., & Ludwig, A. W. W. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065010 · Cited by 2,045
Classical Spins in Superconductors
Shiba, H. (1968) · Progress of Theoretical Physics · doi:10.1143/ptp.40.435 · Cited by 1,079
Wilczek, F. (2009) · Nature Physics · doi:10.1038/nphys1380 · Cited by 913
Cited by
Majorana zero modes in superconductor–semiconductor heterostructures
Lutchyn, R. M., Bakkers, E. P. A. M., Kouwenhoven, L. P., Krogstrup, P., Marcus, C. M., & Oreg, Y. (2018) · Nature Reviews Materials · doi:10.1038/s41578-018-0003-1 · Cited by 992
Colloquium: Majorana fermions in nuclear, particle, and solid-state physics
Elliott, S. R., & Franz, M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.137 · Cited by 839
Topological Superconductivity and Majorana Fermions in RKKY Systems
Klinovaja, J., Stano, P., Yazdani, A., & Loss, D. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.186805 · Cited by 522
Braunecker, B., & Simon, P. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.147202 · Cited by 386
Majorana Fermions and Topology in Superconductors
Sato, M., & Fujimoto, S. (2016) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.85.072001 · Cited by 373
Metadata
- Authors
- Choy, T.-P., Edge, J. M., Akhmerov, A. R., & Beenakker, C. W. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-11-09
- Volume
- 84
- Issue
- 19
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1989267863
- Cited by
- 416
- References
- 26
- FWCI
- 6.26
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Choy, T.-P., Edge, J. M., Akhmerov, A. R., & Beenakker, C. W. J. (2011). Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling. Physical Review B. https://doi.org/10.1103/physrevb.84.195442
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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