Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators
Abstract
Topological phases of matter are among the most intriguing research directions in Condensed Matter Physics. It is known that superconductivity induced on a topological insulator’s surface can lead to exotic Majorana modes, the main ingredient of many proposed quantum computation schemes. In this context, the iron-based high critical temperature superconductors are a promising platform to host such an exotic phenomenon in real condensed-matter compounds. The Coulomb interaction is commonly believed to be vital for the magnetic and superconducting properties of these systems. This work bridges these two perspectives and shows that the Coulomb interaction can also drive a canonical superconductor with orbital degrees of freedom into the topological state. Namely, we show that above a critical value of the Hubbard interaction the system simultaneously develops spiral spin order, a highly unusual triplet amplitude in superconductivity, and, remarkably, Majorana fermions at the edges of the system.
- Authors:
-
[1];
[1];
[3]
- Wroclaw Univ. of Science and Technology (Poland)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); Polish National Agency for Academic Exchange (NAWA)
- OSTI Identifier:
- 1785167
- Grant/Contract Number:
- AC05-00OR22725; PPN/PPO/2018/1/00035
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Communications
- Additional Journal Information:
- Journal Volume: 12; Journal Issue: 1; Journal ID: ISSN 2041-1723
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; magnetic properties and materials; topological insulators
Citation Formats
Herbrych, J., Środa, M., Alvarez, G., Mierzejewski, M., and Dagotto, E. Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators. United States: N. p., 2021.
Web. doi:10.1038/s41467-021-23261-2.
Herbrych, J., Środa, M., Alvarez, G., Mierzejewski, M., & Dagotto, E. Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators. United States. https://doi.org/10.1038/s41467-021-23261-2
Herbrych, J., Środa, M., Alvarez, G., Mierzejewski, M., and Dagotto, E. Wed .
"Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators". United States. https://doi.org/10.1038/s41467-021-23261-2. https://www.osti.gov/servlets/purl/1785167.
@article{osti_1785167,
title = {Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators},
author = {Herbrych, J. and Środa, M. and Alvarez, G. and Mierzejewski, M. and Dagotto, E.},
abstractNote = {Topological phases of matter are among the most intriguing research directions in Condensed Matter Physics. It is known that superconductivity induced on a topological insulator’s surface can lead to exotic Majorana modes, the main ingredient of many proposed quantum computation schemes. In this context, the iron-based high critical temperature superconductors are a promising platform to host such an exotic phenomenon in real condensed-matter compounds. The Coulomb interaction is commonly believed to be vital for the magnetic and superconducting properties of these systems. This work bridges these two perspectives and shows that the Coulomb interaction can also drive a canonical superconductor with orbital degrees of freedom into the topological state. Namely, we show that above a critical value of the Hubbard interaction the system simultaneously develops spiral spin order, a highly unusual triplet amplitude in superconductivity, and, remarkably, Majorana fermions at the edges of the system.},
doi = {10.1038/s41467-021-23261-2},
journal = {Nature Communications},
number = 1,
volume = 12,
place = {United States},
year = {Wed May 19 00:00:00 EDT 2021},
month = {Wed May 19 00:00:00 EDT 2021}
}
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Works referenced in this record:
Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing
journal, March 2013
- Stanescu, Tudor D.; Lutchyn, Roman M.; Das Sarma, S.
- Physical Review B, Vol. 87, Issue 9
Atomic line defects and zero-energy end states in monolayer Fe(Te,Se) high-temperature superconductors
journal, March 2020
- Chen, Cheng; Jiang, Kun; Zhang, Yi
- Nature Physics, Vol. 16, Issue 5
Coexistence of localized and itinerant electrons in and Se) revealed by photoemission spectroscopy
journal, January 2015
- Ootsuki, D.; Saini, N. L.; Du, F.
- Physical Review B, Vol. 91, Issue 1
Observation of a Majorana zero mode in a topologically protected edge channel
journal, June 2019
- Jäck, Berthold; Xie, Yonglong; Li, Jian
- Science, Vol. 364, Issue 6447
Effect of magnetic frustration on nematicity and superconductivity in iron chalcogenides
journal, August 2015
- Glasbrenner, J. K.; Mazin, I. I.; Jeschke, Harald O.
- Nature Physics, Vol. 11, Issue 11
Block Magnetic Excitations in the Orbitally Selective Mott Insulator
journal, July 2015
- Mourigal, M.; Wu, Shan; Stone, M. B.
- Physical Review Letters, Vol. 115, Issue 4
Pressure-induced superconductivity in the iron-based ladder material BaFe2S3
journal, July 2015
- Takahashi, Hiroki; Sugimoto, Akira; Nambu, Yusuke
- Nature Materials, Vol. 14, Issue 10
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
Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors
journal, November 2016
- Nocera, A.; Alvarez, G.
- Physical Review E, Vol. 94, Issue 5
Unpaired Majorana fermions in quantum wires
journal, October 2001
- Kitaev, A. Yu
- Physics-Uspekhi, Vol. 44, Issue 10S
Chiral superconductivity in heavy-fermion metal UTe2
journal, March 2020
- Jiao, Lin; Howard, Sean; Ran, Sheng
- Nature, Vol. 579, Issue 7800
Majorana fermions in magnetic chains
journal, July 2019
- Pawlak, Rémy; Hoffman, Silas; Klinovaja, Jelena
- Progress in Particle and Nuclear Physics, Vol. 107
Pressure-induced orbital-selective metal from the Mott insulator
journal, June 2020
- Craco, L.; Leoni, S.
- Physical Review B, Vol. 101, Issue 24
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Spin dynamics of the block orbital-selective Mott phase
journal, September 2018
- Herbrych, J.; Kaushal, N.; Nocera, A.
- Nature Communications, Vol. 9, Issue 1
Self-Organized Topological State with Majorana Fermions
journal, November 2013
- Vazifeh, M. M.; Franz, M.
- Physical Review Letters, Vol. 111, Issue 20
Tunneling spectra simulation of interacting Majorana wires
journal, October 2013
- Thomale, Ronny; Rachel, Stephan; Schmitteckert, Peter
- Physical Review B, Vol. 88, Issue 16
Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
journal, June 2019
- Machida, T.; Sun, Y.; Pyon, S.
- Nature Materials, Vol. 18, Issue 8
Exotic Magnetic Order in the Orbital-Selective Mott Regime of Multiorbital Systems
journal, March 2014
- Rincón, Julián; Moreo, Adriana; Alvarez, Gonzalo
- Physical Review Letters, Vol. 112, Issue 10
Colloquium : Majorana fermions in nuclear, particle, and solid-state physics
journal, February 2015
- Elliott, Steven R.; Franz, Marcel
- Reviews of Modern Physics, Vol. 87, Issue 1
Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
journal, July 2010
- Braunecker, Bernd; Japaridze, George I.; Klinovaja, Jelena
- Physical Review B, Vol. 82, Issue 4
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
Massive Suppression of Proximity Pairing in Topological Films on Niobium
journal, June 2020
- Hlevyack, Joseph A.; Najafzadeh, Sahand; Lin, Meng-Kai
- Physical Review Letters, Vol. 124, Issue 23
Magnetic properties and pairing tendencies of the iron-based superconducting ladder : Combined ab initio and density matrix renormalization group study
journal, August 2016
- Patel, Niravkumar D.; Nocera, Alberto; Alvarez, Gonzalo
- Physical Review B, Vol. 94, Issue 7
Non-collinear spin states in bottom-up fabricated atomic chains
journal, July 2018
- Steinbrecher, Manuel; Rausch, Roman; That, Khai Ton
- Nature Communications, Vol. 9, Issue 1
Pairing tendencies in a two-orbital Hubbard model in one dimension
journal, July 2017
- Patel, N. D.; Nocera, A.; Alvarez, G.
- Physical Review B, Vol. 96, Issue 2
The density-matrix renormalization group
journal, April 2005
- Schollwöck, U.
- Reviews of Modern Physics, Vol. 77, Issue 1
Evidence for dispersing 1D Majorana channels in an iron-based superconductor
journal, January 2020
- Wang, Zhenyu; Rodriguez, Jorge Olivares; Jiao, Lin
- Science, Vol. 367, Issue 6473
Prediction of exotic magnetic states in the alkali-metal quasi-one-dimensional iron selenide compound
journal, July 2020
- Pandey, Bradraj; Lin, Ling-Fang; Soni, Rahul
- Physical Review B, Vol. 102, Issue 3
Imaging orbital-selective quasiparticles in the Hund’s metal state of FeSe
journal, September 2018
- Kostin, A.; Sprau, P. O.; Kreisel, A.
- Nature Materials, Vol. 17, Issue 10
Topological Superconductivity and Majorana Fermions in RKKY Systems
journal, November 2013
- Klinovaja, Jelena; Stano, Peter; Yazdani, Ali
- Physical Review Letters, Vol. 111, Issue 18
Dynamical density-matrix renormalization-group method
journal, July 2002
- Jeckelmann, Eric
- Physical Review B, Vol. 66, Issue 4
Density matrix renormalization group algorithms with a single center site
journal, November 2005
- White, Steven R.
- Physical Review B, Vol. 72, Issue 18
Observation of topological superconductivity on the surface of an iron-based superconductor
journal, March 2018
- Zhang, Peng; Yaji, Koichiro; Hashimoto, Takahiro
- Science, Vol. 360, Issue 6385
Interplay of magnetism and superconductivity in the compressed Fe-ladder compound
journal, June 2017
- Ying, Jianjun; Lei, Hechang; Petrovic, Cedomir
- Physical Review B, Vol. 95, Issue 24
Orbital Selectivity Enhanced by Nematic Order in FeSe
journal, November 2018
- Yu, Rong; Zhu, Jian-Xin; Si, Qimiao
- Physical Review Letters, Vol. 121, Issue 22
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
Two-dimensional -wave superconducting states with magnetic moments on a conventional -wave superconductor
journal, November 2013
- Nakosai, Sho; Tanaka, Yukio; Nagaosa, Naoto
- Physical Review B, Vol. 88, Issue 18
Pressure-Induced Mott Transition Followed by a 24-K Superconducting Phase in
journal, December 2015
- Yamauchi, Touru; Hirata, Yasuyuki; Ueda, Yutaka
- Physical Review Letters, Vol. 115, Issue 24
Orbital-selective magnetism in the spin-ladder iron selenides Ba K Fe Se
journal, May 2012
- Caron, J. M.; Neilson, J. R.; Miller, D. C.
- Physical Review B, Vol. 85, Issue 18
Phase diagram of the interacting Majorana chain model
journal, December 2015
- Rahmani, Armin; Zhu, Xiaoyu; Franz, Marcel
- Physical Review B, Vol. 92, Issue 23
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
Incommensurate Spin Fluctuations in the Spin-Triplet Superconductor Candidate
journal, December 2020
- Duan, Chunruo; Sasmal, Kalyan; Maple, M. Brian
- Physical Review Letters, Vol. 125, Issue 23
Interplay between Classical Magnetic Moments and Superconductivity in Quantum One-Dimensional Conductors: Toward a Self-Sustained Topological Majorana Phase
journal, October 2013
- Braunecker, Bernd; Simon, Pascal
- Physical Review Letters, Vol. 111, Issue 14
Evidence for Majorana bound states in an iron-based superconductor
journal, August 2018
- Wang, Dongfei; Kong, Lingyuan; Fan, Peng
- Science, Vol. 362, Issue 6412
Successive magnetic transitions and spin structure in the two-leg ladder compound observed by and NMR
journal, July 2020
- Murase, Mina; Okada, Kaoru; Kobayashi, Yoshiaki
- Physical Review B, Vol. 102, Issue 1
Block–spiral magnetism: An exotic type of frustrated order
journal, June 2020
- Herbrych, J.; Heverhagen, J.; Alvarez, G.
- Proceedings of the National Academy of Sciences, Vol. 117, Issue 28
Spin dynamics of the block orbital-selective Mott phase
journal, September 2018
- Herbrych, J.; Kaushal, N.; Nocera, A.
- Nature Communications, Vol. 9, Issue 1
Block orbital-selective Mott insulators: A spin excitation analysis
journal, September 2020
- Herbrych, J.; Alvarez, G.; Moreo, A.
- Physical Review B, Vol. 102, Issue 11
Three orbital model for the iron-based superconductors
journal, January 2010
- Daghofer, Maria; Nicholson, Andrew; Moreo, Adriana
- Physical Review B, Vol. 81, Issue 1
Novel Magnetic Block States in Low-Dimensional Iron-Based Superconductors
journal, July 2019
- Herbrych, J.; Heverhagen, J.; Patel, N. D.
- Physical Review Letters, Vol. 123, Issue 2
Two-dimensional p-wave superconducting states with magnetic moments on a conventional s-wave superconductor
text, January 2013
- Nakosai, Sho; Tanaka, Yukio; Nagaosa, Naoto
- arXiv
Tunneling spectra simulation of interacting Majorana wires
text, January 2013
- Thomale, Ronny; Rachel, Stephan; Schmitteckert, Peter
- arXiv
Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
text, January 2013
- Braunecker, Bernd; Simon, Pascal
- arXiv
Exotic magnetic order in the orbital-selective Mott regime of multiorbital systems
text, January 2014
- Rincon, Julian; Moreo, Adriana; Alvarez, Gonzalo
- arXiv
Imaging Orbital-selective Quasiparticles in the Hund's Metal State of FeSe
text, January 2018
- Kostin, Andrey; Sprau, Peter O.; Kreisel, Andreas
- arXiv