Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems

Mascot, Eric; Agrahar, Chaitra; Rachel, Stephan; Morr, Dirk K.

doi:10.1103/PhysRevB.100.235102

Title: Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems

Journal Article · Mon Dec 02 00:00:00 EST 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.100.235102· OSTI ID:1618815

Mascot, Eric ^[1]; Agrahar, Chaitra ^[1]; Rachel, Stephan ^[2];

^[1]

Univ. of Illinois, Chicago, IL (United States)
Univ. of Melbourne (Australia)

Magnet-superconductor hybrid heterostructures constitute a promising candidate system for the quantum engineering of chiral topological superconductivity. In this work, we investigate the stability of their topological phases in the presence of various types of potential and magnetic disorder. In particular we consider magnetic disorder in the coupling strength and spin orientation, as well as percolation-type disorder representing missing magnetic moments. We show that potential disorder leads to the weakest suppression of topological phases, while percolation disorder leads to their strongest suppression. In addition, disorder can also lead to the emergence of topological phases in part of the phase diagram that are topologically trivial in a clean system. Furthermore, we demonstrate that in the case of correlated potential disorder, the spatial structure of the disorder potential is correlated not only with the particle number density, but also the Chern number density. Finally, we demonstrate how the disorder-induced destruction of topological superconductivity is reflected in the spatial structure and distribution of the Chern number density.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Illinois, Chicago, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-05ER46225

OSTI ID:: 1618815

Journal Information:: Physical Review B, Vol. 100, Issue 23; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 7 works

Citation information provided by
Web of Science

References (61)

Topological Superconductivity and High Chern Numbers in 2D Ferromagnetic Shiba Lattices Röntynen, Joel; Ojanen, Teemu Physical Review Letters, Vol. 114, Issue 23 https://doi.org/10.1103/PhysRevLett.114.236803	journal	June 2015
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures Lutchyn, Roman M.; Sau, Jay D.; Das Sarma, S. Physical Review Letters, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevLett.105.077001	journal	August 2010
Integer quantum Hall transition: An alternative approach and exact results Ludwig, Andreas W. W.; Fisher, Matthew P. A.; Shankar, R. Physical Review B, Vol. 50, Issue 11 https://doi.org/10.1103/PhysRevB.50.7526	journal	September 1994
Anderson transitions Evers, Ferdinand; Mirlin, Alexander D. Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1355	journal	October 2008
Helical Liquids and Majorana Bound States in Quantum Wires Oreg, Yuval; Refael, Gil; von Oppen, Felix Physical Review Letters, Vol. 105, Issue 17 https://doi.org/10.1103/PhysRevLett.105.177002	journal	October 2010
Quantized charge transport in chiral Majorana edge modes Rachel, Stephan; Mascot, Eric; Cocklin, Sagen Physical Review B, Vol. 96, Issue 20 https://doi.org/10.1103/PhysRevB.96.205131	journal	November 2017
Chiral superconductors Kallin, Catherine; Berlinsky, John Reports on Progress in Physics, Vol. 79, Issue 5 https://doi.org/10.1088/0034-4885/79/5/054502	journal	April 2016
Quasiparticle localization in superconductors with spin-orbit scattering Senthil, T.; Fisher, Matthew P. A. Physical Review B, Vol. 61, Issue 14 https://doi.org/10.1103/PhysRevB.61.9690	journal	April 2000
Proposal for realizing Majorana fermions in chains of magnetic atoms on a superconductor Nadj-Perge, S.; Drozdov, I. K.; Bernevig, B. A. Physical Review B, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevB.88.020407	journal	July 2013
End States and Subgap Structure in Proximity-Coupled Chains of Magnetic Adatoms Ruby, Michael; Pientka, Falko; Peng, Yang Physical Review Letters, Vol. 115, Issue 19 https://doi.org/10.1103/PhysRevLett.115.197204	journal	November 2015
Effect of random feld disorder on topological superconductors Zhou, Tao Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-13158-w	journal	October 2017
Unpaired Majorana fermions in quantum wires Kitaev, A. Yu Physics-Uspekhi, Vol. 44, Issue 10S https://doi.org/10.1070/1063-7869/44/10S/S29	journal	October 2001
Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface Pawlak, Remy; Kisiel, Marcin; Klinovaja, Jelena Nature Publishing Group https://doi.org/10.5451/unibas-ep53496	text	January 2016
Probing atomic structure and Majorana wavefunctions in mono-atomic Fe chains on superconducting Pb surface Pawlak, Rémy; Kisiel, Marcin; Klinovaja, Jelena npj Quantum Information, Vol. 2, Issue 1 https://doi.org/10.1038/npjqi.2016.35	journal	November 2016
Superconductivity in ${Cu}_{x} {Bi}_{2} {Se}_{3}$ and its Implications for Pairing in the Undoped Topological Insulator Hor, Y. S.; Williams, A. J.; Checkelsky, J. G. Physical Review Letters, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevLett.104.057001	journal	February 2010
Disorder-induced suppression of the zero-bias conductance peak splitting in topological superconducting nanowires Ren, Jun-Tong; Lü, Hai-Feng; Ke, Sha-Sha Beilstein Journal of Nanotechnology, Vol. 9 https://doi.org/10.3762/bjnano.9.128	journal	January 2018
Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4 Mackenzie, Andrew P.; Scaffidi, Thomas; Hicks, Clifford W. npj Quantum Materials, Vol. 2, Issue 1 https://doi.org/10.1038/s41535-017-0045-4	journal	July 2017
Stability of flat-band edge states in topological superconductors without inversion center Queiroz, Raquel; Schnyder, Andreas P. Physical Review B, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevB.89.054501	journal	February 2014
Spin-rotation symmetry breaking in the superconducting state of CuxBi2Se3 Matano, K.; Kriener, M.; Segawa, K. Nature Physics, Vol. 12, Issue 9 https://doi.org/10.1038/nphys3781	journal	May 2016
Topological insulators and superconductors: tenfold way and dimensional hierarchy Ryu, Shinsei; Schnyder, Andreas P.; Furusaki, Akira New Journal of Physics, Vol. 12, Issue 6 https://doi.org/10.1088/1367-2630/12/6/065010	journal	June 2010
Toward tailoring Majorana bound states in artificially constructed magnetic atom chains on elemental superconductors Kim, Howon; Palacio-Morales, Alexandra; Posske, Thore Science Advances, Vol. 4, Issue 5 https://doi.org/10.1126/sciadv.aar5251	journal	May 2018
The superconducting phases of ${UPt}_{3}$ Joynt, Robert; Taillefer, Louis Reviews of Modern Physics, Vol. 74, Issue 1 https://doi.org/10.1103/RevModPhys.74.235	journal	March 2002
Topological protection, disorder, and interactions: Survival at the surface of three-dimensional topological superconductors Foster, Matthew S.; Xie, Hong-Yi; Chou, Yang-Zhi Physical Review B, Vol. 89, Issue 15 https://doi.org/10.1103/PhysRevB.89.155140	journal	April 2014
Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry Queiroz, Raquel; Schnyder, Andreas P. Physical Review B, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevB.91.014202	journal	January 2015
Quantized Hall Conductance in a Two-Dimensional Periodic Potential Thouless, D. J.; Kohmoto, M.; Nightingale, M. P. Physical Review Letters, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevLett.49.405	journal	August 1982
Two-dimensional chiral topological superconductivity in Shiba lattices Li, Jian; Neupert, Titus; Wang, Zhijun Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12297	journal	July 2016
Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors Awoga, Oladunjoye A.; Björnson, Kristofer; Black-Schaffer, Annica M. Physical Review B, Vol. 95, Issue 18 https://doi.org/10.1103/PhysRevB.95.184511	journal	May 2017
Topological Superconductivity in ${Cu}_{x} {Bi}_{2} {Se}_{3}$ Sasaki, Satoshi; Kriener, M.; Segawa, Kouji Physical Review Letters, Vol. 107, Issue 21 https://doi.org/10.1103/PhysRevLett.107.217001	journal	November 2011
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices Mourik, V.; Zuo, K.; Frolov, S. M. Science, Vol. 336, Issue 6084 https://doi.org/10.1126/science.1222360	journal	April 2012
Two-dimensional topological superconductivity in Pb/Co/Si(111) Ménard, Gerbold C.; Guissart, Sébastien; Brun, Christophe Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-02192-x	journal	December 2017
Disorder-induced Chern insulator in the Harper-Hofstadter-Hatsugai model Kuno, Yoshihito Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevB.100.054108	journal	August 2019
Theory of scanning tunneling spectroscopy: from Kondo impurities to heavy fermion materials Morr, Dirk K. Reports on Progress in Physics, Vol. 80, Issue 1 https://doi.org/10.1088/0034-4885/80/1/014502	journal	November 2016
Non-Abelian anyons and topological quantum computation Nayak, Chetan; Simon, Steven H.; Stern, Ady Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1083	journal	September 2008
Non-Abelian topological orders and Majorana fermions in spin-singlet superconductors Sato, Masatoshi; Takahashi, Yoshiro; Fujimoto, Satoshi Physical Review B, Vol. 82, Issue 13 https://doi.org/10.1103/PhysRevB.82.134521	journal	October 2010
Superconductivity in a layered perovskite without copper Maeno, Y.; Hashimoto, H.; Yoshida, K. Nature, Vol. 372, Issue 6506 https://doi.org/10.1038/372532a0	journal	December 1994
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect Read, N.; Green, Dmitry Physical Review B, Vol. 61, Issue 15 https://doi.org/10.1103/PhysRevB.61.10267	journal	April 2000
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator Fu, Liang; Kane, C. L. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.096407	journal	March 2008
Atomic-scale interface engineering of Majorana edge modes in a 2D magnet-superconductor hybrid system Palacio-Morales, Alexandra; Mascot, Eric; Cocklin, Sagen Science Advances, Vol. 5, Issue 7 https://doi.org/10.1126/sciadv.aav6600	journal	July 2019
Majorana zero modes and topological quantum computation Sarma, Sankar Das; Freedman, Michael; Nayak, Chetan npj Quantum Information, Vol. 1, Issue 1 https://doi.org/10.1038/npjqi.2015.1	journal	October 2015
Class $D$ Spectral Peak in Majorana Quantum Wires Bagrets, Dmitry; Altland, Alexander Physical Review Letters, Vol. 109, Issue 22 https://doi.org/10.1103/PhysRevLett.109.227005	journal	November 2012
Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor Nadj-Perge, S.; Drozdov, I. K.; Li, J. Science, Vol. 346, Issue 6209 https://doi.org/10.1126/science.1259327	journal	October 2014
Disordered topological insulators: a non-commutative geometry perspective Prodan, Emil Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 11 https://doi.org/10.1088/1751-8113/44/11/113001	journal	February 2011
Entanglement Spectrum of a Disordered Topological Chern Insulator Prodan, Emil; Hughes, Taylor L.; Bernevig, B. Andrei Physical Review Letters, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevLett.105.115501	journal	September 2010
The superconductivity of ${Sr}_{2} {RuO}_{4}$ and the physics of spin-triplet pairing Mackenzie, Andrew Peter; Maeno, Yoshiteru Reviews of Modern Physics, Vol. 75, Issue 2 https://doi.org/10.1103/RevModPhys.75.657	journal	May 2003
Topological superconductors: a review Sato, Masatoshi; Ando, Yoichi Reports on Progress in Physics, Vol. 80, Issue 7 https://doi.org/10.1088/1361-6633/aa6ac7	journal	May 2017
Disordered topological insulators: a non-commutative geometry perspective Prodan, Emil Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 23 https://doi.org/10.1088/1751-8113/44/23/239601	journal	May 2011
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator Fu, L.; Kane, C. L. Topologica, Vol. 2, Issue 1 https://doi.org/10.3731/topologica.2.013	journal	January 2009
Anderson transitions Evers, Ferdinand; Mirlin, Alexander D. Universität Regensburg https://doi.org/10.5283/epub.46205	text	January 2008
Superconducting proximity effect and Majorana fermions at the surface of a topological insulator Fu, Liang; Kane, C. L. arXiv https://doi.org/10.48550/arxiv.0707.1692	text	January 2007
Non-Abelian Anyons and Topological Quantum Computation Nayak, Chetan; Simon, Steven H.; Stern, Ady arXiv https://doi.org/10.48550/arxiv.0707.1889	text	January 2007
Anderson Transitions Evers, F.; Mirlin, A. D. arXiv https://doi.org/10.48550/arxiv.0707.4378	text	January 2007
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures Lutchyn, Roman M.; Sau, Jay D.; Sarma, S. Das arXiv https://doi.org/10.48550/arxiv.1002.4033	text	January 2010
Entanglement Spectrum of a Disordered Topological Chern Insulator Prodan, Emil; Hughes, Taylor L.; Bernevig, B. Andrei arXiv https://doi.org/10.48550/arxiv.1005.5148	text	January 2010
Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling Brouwer, Piet W.; Duckheim, Mathias; Romito, Alessandro arXiv https://doi.org/10.48550/arxiv.1103.2746	text	January 2011
Stability of flat-band edge states in topological superconductors without inversion center Queiroz, Raquel; Schnyder, Andreas P. arXiv https://doi.org/10.48550/arxiv.1311.6892	text	January 2013
Majorana Zero Modes and Topological Quantum Computation Sarma, Sankar Das; Freedman, Michael; Nayak, Chetan arXiv https://doi.org/10.48550/arxiv.1501.02813	text	January 2015
End states and subgap structure in proximity-coupled chains of magnetic adatoms Ruby, Michael; Pientka, Falko; Peng, Yang arXiv https://doi.org/10.48550/arxiv.1507.03104	text	January 2015
Two-dimensional topological superconductivity in Pb/Co/Si(111) Ménard, Gerbold C.; Guissart, Sébastien; Brun, Christophe arXiv https://doi.org/10.48550/arxiv.1607.06353	text	January 2016
Quantized charge transport in chiral Majorana edge modes Rachel, Stephan; Mascot, Eric; Cocklin, Sagen arXiv https://doi.org/10.48550/arxiv.1705.05378	text	January 2017
Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model Kuno, Yoshihito arXiv https://doi.org/10.48550/arxiv.1905.11849	text	January 2019
Quasiparticle localization in superconductors with spin-orbit scattering Senthil, T.; Fisher, Matthew P. A. arXiv https://doi.org/10.48550/arxiv.cond-mat/9906290	text	January 1999

Similar Records

Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagomé superconductors

Journal Article · Sat Nov 26 00:00:00 EST 2022 · Nature Communications · OSTI ID:1618815

Zhou, Sen; Wang, Ziqiang

Local spectroscopy of a gate-switchable moiré quantum anomalous Hall insulator

Journal Article · Fri Jun 16 00:00:00 EDT 2023 · Nature Communications · OSTI ID:1618815

Zhang, Canxun; Zhu, Tiancong; Soejima, Tomohiro; +7 more

Signatures of long-range-correlated disorder in the magnetotransport of ultrathin topological insulators

Journal Article · Wed Dec 19 00:00:00 EST 2018 · Physical Review B · OSTI ID:1618815

Nandi, D.; Skinner, B.; Lee, G. H.; +10 more

Related Subjects

36 MATERIALS SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Title: Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems

Citation Formats

References (61)

Similar Records

Related Subjects