Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems
Abstract
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.
- Publication Date:
- Research Org.:
- Univ. of Illinois, Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1618815
- Grant/Contract Number:
- FG02-05ER46225
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 23; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Mascot, Eric, Agrahar, Chaitra, Rachel, Stephan, and Morr, Dirk K. Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.235102.
Mascot, Eric, Agrahar, Chaitra, Rachel, Stephan, & Morr, Dirk K. Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems. United States. https://doi.org/10.1103/PhysRevB.100.235102
Mascot, Eric, Agrahar, Chaitra, Rachel, Stephan, and Morr, Dirk K. Mon .
"Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems". United States. https://doi.org/10.1103/PhysRevB.100.235102. https://www.osti.gov/servlets/purl/1618815.
@article{osti_1618815,
title = {Stability of disordered topological superconducting phases in magnet-superconductor hybrid systems},
author = {Mascot, Eric and Agrahar, Chaitra and Rachel, Stephan and Morr, Dirk K.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.100.235102},
journal = {Physical Review B},
number = 23,
volume = 100,
place = {United States},
year = {Mon Dec 02 00:00:00 EST 2019},
month = {Mon Dec 02 00:00:00 EST 2019}
}
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Works referenced in this record:
Topological Superconductivity and High Chern Numbers in 2D Ferromagnetic Shiba Lattices
journal, June 2015
- Röntynen, Joel; Ojanen, Teemu
- Physical Review Letters, Vol. 114, Issue 23
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010
- Lutchyn, Roman M.; Sau, Jay D.; Das Sarma, S.
- Physical Review Letters, Vol. 105, Issue 7
Integer quantum Hall transition: An alternative approach and exact results
journal, September 1994
- Ludwig, Andreas W. W.; Fisher, Matthew P. A.; Shankar, R.
- Physical Review B, Vol. 50, Issue 11
Anderson transitions
journal, October 2008
- Evers, Ferdinand; Mirlin, Alexander D.
- Reviews of Modern Physics, Vol. 80, Issue 4
Helical Liquids and Majorana Bound States in Quantum Wires
journal, October 2010
- Oreg, Yuval; Refael, Gil; von Oppen, Felix
- Physical Review Letters, Vol. 105, Issue 17
Quantized charge transport in chiral Majorana edge modes
journal, November 2017
- Rachel, Stephan; Mascot, Eric; Cocklin, Sagen
- Physical Review B, Vol. 96, Issue 20
Chiral superconductors
journal, April 2016
- Kallin, Catherine; Berlinsky, John
- Reports on Progress in Physics, Vol. 79, Issue 5
Quasiparticle localization in superconductors with spin-orbit scattering
journal, April 2000
- Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 61, Issue 14
Proposal for realizing Majorana fermions in chains of magnetic atoms on a superconductor
journal, July 2013
- Nadj-Perge, S.; Drozdov, I. K.; Bernevig, B. A.
- Physical Review B, Vol. 88, Issue 2
End States and Subgap Structure in Proximity-Coupled Chains of Magnetic Adatoms
journal, November 2015
- Ruby, Michael; Pientka, Falko; Peng, Yang
- Physical Review Letters, Vol. 115, Issue 19
Effect of random feld disorder on topological superconductors
journal, October 2017
- Zhou, Tao
- Scientific Reports, Vol. 7, Issue 1
Unpaired Majorana fermions in quantum wires
journal, October 2001
- Kitaev, A. Yu
- Physics-Uspekhi, Vol. 44, Issue 10S
Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
text, January 2016
- Pawlak, Remy; Kisiel, Marcin; Klinovaja, Jelena
- Nature Publishing Group
Probing atomic structure and Majorana wavefunctions in mono-atomic Fe chains on superconducting Pb surface
journal, November 2016
- Pawlak, Rémy; Kisiel, Marcin; Klinovaja, Jelena
- npj Quantum Information, Vol. 2, Issue 1
Superconductivity in and its Implications for Pairing in the Undoped Topological Insulator
journal, February 2010
- Hor, Y. S.; Williams, A. J.; Checkelsky, J. G.
- Physical Review Letters, Vol. 104, Issue 5
Disorder-induced suppression of the zero-bias conductance peak splitting in topological superconducting nanowires
journal, January 2018
- Ren, Jun-Tong; Lü, Hai-Feng; Ke, Sha-Sha
- Beilstein Journal of Nanotechnology, Vol. 9
Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4
journal, July 2017
- Mackenzie, Andrew P.; Scaffidi, Thomas; Hicks, Clifford W.
- npj Quantum Materials, Vol. 2, Issue 1
Stability of flat-band edge states in topological superconductors without inversion center
journal, February 2014
- Queiroz, Raquel; Schnyder, Andreas P.
- Physical Review B, Vol. 89, Issue 5
Spin-rotation symmetry breaking in the superconducting state of CuxBi2Se3
journal, May 2016
- Matano, K.; Kriener, M.; Segawa, K.
- Nature Physics, Vol. 12, Issue 9
Topological insulators and superconductors: tenfold way and dimensional hierarchy
journal, June 2010
- Ryu, Shinsei; Schnyder, Andreas P.; Furusaki, Akira
- New Journal of Physics, Vol. 12, Issue 6
Toward tailoring Majorana bound states in artificially constructed magnetic atom chains on elemental superconductors
journal, May 2018
- Kim, Howon; Palacio-Morales, Alexandra; Posske, Thore
- Science Advances, Vol. 4, Issue 5
The superconducting phases of
journal, March 2002
- Joynt, Robert; Taillefer, Louis
- Reviews of Modern Physics, Vol. 74, Issue 1
Topological protection, disorder, and interactions: Survival at the surface of three-dimensional topological superconductors
journal, April 2014
- Foster, Matthew S.; Xie, Hong-Yi; Chou, Yang-Zhi
- Physical Review B, Vol. 89, Issue 15
Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry
journal, January 2015
- Queiroz, Raquel; Schnyder, Andreas P.
- Physical Review B, Vol. 91, Issue 1
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982
- Thouless, D. J.; Kohmoto, M.; Nightingale, M. P.
- Physical Review Letters, Vol. 49, Issue 6
Two-dimensional chiral topological superconductivity in Shiba lattices
journal, July 2016
- Li, Jian; Neupert, Titus; Wang, Zhijun
- Nature Communications, Vol. 7, Issue 1
Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors
journal, May 2017
- Awoga, Oladunjoye A.; Björnson, Kristofer; Black-Schaffer, Annica M.
- Physical Review B, Vol. 95, Issue 18
Topological Superconductivity in
journal, November 2011
- Sasaki, Satoshi; Kriener, M.; Segawa, Kouji
- Physical Review Letters, Vol. 107, Issue 21
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices
journal, April 2012
- Mourik, V.; Zuo, K.; Frolov, S. M.
- Science, Vol. 336, Issue 6084
Two-dimensional topological superconductivity in Pb/Co/Si(111)
journal, December 2017
- Ménard, Gerbold C.; Guissart, Sébastien; Brun, Christophe
- Nature Communications, Vol. 8, Issue 1
Disorder-induced Chern insulator in the Harper-Hofstadter-Hatsugai model
journal, August 2019
- Kuno, Yoshihito
- Physical Review B, Vol. 100, Issue 5
Theory of scanning tunneling spectroscopy: from Kondo impurities to heavy fermion materials
journal, November 2016
- Morr, Dirk K.
- Reports on Progress in Physics, Vol. 80, Issue 1
Non-Abelian anyons and topological quantum computation
journal, September 2008
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- Reviews of Modern Physics, Vol. 80, Issue 3
Non-Abelian topological orders and Majorana fermions in spin-singlet superconductors
journal, October 2010
- Sato, Masatoshi; Takahashi, Yoshiro; Fujimoto, Satoshi
- Physical Review B, Vol. 82, Issue 13
Superconductivity in a layered perovskite without copper
journal, December 1994
- Maeno, Y.; Hashimoto, H.; Yoshida, K.
- Nature, Vol. 372, Issue 6506
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
journal, April 2000
- Read, N.; Green, Dmitry
- Physical Review B, Vol. 61, Issue 15
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
journal, March 2008
- Fu, Liang; Kane, C. L.
- Physical Review Letters, Vol. 100, Issue 9
Atomic-scale interface engineering of Majorana edge modes in a 2D magnet-superconductor hybrid system
journal, July 2019
- Palacio-Morales, Alexandra; Mascot, Eric; Cocklin, Sagen
- Science Advances, Vol. 5, Issue 7
Majorana zero modes and topological quantum computation
journal, October 2015
- Sarma, Sankar Das; Freedman, Michael; Nayak, Chetan
- npj Quantum Information, Vol. 1, Issue 1
Class Spectral Peak in Majorana Quantum Wires
journal, November 2012
- Bagrets, Dmitry; Altland, Alexander
- Physical Review Letters, Vol. 109, Issue 22
Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor
journal, October 2014
- Nadj-Perge, S.; Drozdov, I. K.; Li, J.
- Science, Vol. 346, Issue 6209
Disordered topological insulators: a non-commutative geometry perspective
journal, February 2011
- Prodan, Emil
- Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 11
Entanglement Spectrum of a Disordered Topological Chern Insulator
journal, September 2010
- Prodan, Emil; Hughes, Taylor L.; Bernevig, B. Andrei
- Physical Review Letters, Vol. 105, Issue 11
The superconductivity of and the physics of spin-triplet pairing
journal, May 2003
- Mackenzie, Andrew Peter; Maeno, Yoshiteru
- Reviews of Modern Physics, Vol. 75, Issue 2
Topological superconductors: a review
journal, May 2017
- Sato, Masatoshi; Ando, Yoichi
- Reports on Progress in Physics, Vol. 80, Issue 7
Disordered topological insulators: a non-commutative geometry perspective
journal, May 2011
- Prodan, Emil
- Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 23
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
journal, January 2009
- Fu, L.; Kane, C. L.
- Topologica, Vol. 2, Issue 1
Anderson transitions
text, January 2008
- Evers, Ferdinand; Mirlin, Alexander D.
- Universität Regensburg
Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
text, January 2007
- Fu, Liang; Kane, C. L.
- arXiv
Non-Abelian Anyons and Topological Quantum Computation
text, January 2007
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- arXiv
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
text, January 2010
- Lutchyn, Roman M.; Sau, Jay D.; Sarma, S. Das
- arXiv
Entanglement Spectrum of a Disordered Topological Chern Insulator
text, January 2010
- Prodan, Emil; Hughes, Taylor L.; Bernevig, B. Andrei
- arXiv
Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
text, January 2011
- Brouwer, Piet W.; Duckheim, Mathias; Romito, Alessandro
- arXiv
Stability of flat-band edge states in topological superconductors without inversion center
text, January 2013
- Queiroz, Raquel; Schnyder, Andreas P.
- arXiv
Majorana Zero Modes and Topological Quantum Computation
text, January 2015
- Sarma, Sankar Das; Freedman, Michael; Nayak, Chetan
- arXiv
End states and subgap structure in proximity-coupled chains of magnetic adatoms
text, January 2015
- Ruby, Michael; Pientka, Falko; Peng, Yang
- arXiv
Two-dimensional topological superconductivity in Pb/Co/Si(111)
text, January 2016
- Ménard, Gerbold C.; Guissart, Sébastien; Brun, Christophe
- arXiv
Quantized charge transport in chiral Majorana edge modes
text, January 2017
- Rachel, Stephan; Mascot, Eric; Cocklin, Sagen
- arXiv
Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
text, January 2019
- Kuno, Yoshihito
- arXiv
Quasiparticle localization in superconductors with spin-orbit scattering
text, January 1999
- Senthil, T.; Fisher, Matthew P. A.
- arXiv