Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm
Abstract
One-dimensional (1D) quantum wires, which are functionalized by magnetic ad-atoms, can host ballistic helical transport. Helicity protects transport from an undesirable influence of material imperfections and makes the magnetically doped wire very promising elements for nanoelectronics and spintronics. However, fabricating purely 1D conductors is experimentally very challenging and not always feasible. In this paper, we show that the protected helical transport can exist even inquasi-1D wires. We model the quasi-1D magnetically doped wire as two coupled dense 1D Kondo chains. Each chain consists of itinerant electrons interacting with localized quantum magnetic moments - Kondo impurities. We have analyzed the regimes of weak-, intermediate- and strong inter-chain coupling and found conditions necessary for the origin of the aforementioned protected transport. Our results give a push for experimental realizations of the helical states in magnetically doped wires.
- Authors:
-
[2];
- Ludwig Maximilian Univ. of Munich, Munich (Germany)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1668650
- Report Number(s):
- BNL-219875-2020-JAAM
Journal ID: ISSN 2469-9950; TRN: US2203708
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 16; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Stäbler, Florian, Tsvelik, Alexei M., and Yevtushenko, Oleg M. Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.161102.
Stäbler, Florian, Tsvelik, Alexei M., & Yevtushenko, Oleg M. Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm. United States. https://doi.org/10.1103/physrevb.102.161102
Stäbler, Florian, Tsvelik, Alexei M., and Yevtushenko, Oleg M. Tue .
"Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm". United States. https://doi.org/10.1103/physrevb.102.161102. https://www.osti.gov/servlets/purl/1668650.
@article{osti_1668650,
title = {Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm},
author = {Stäbler, Florian and Tsvelik, Alexei M. and Yevtushenko, Oleg M.},
abstractNote = {One-dimensional (1D) quantum wires, which are functionalized by magnetic ad-atoms, can host ballistic helical transport. Helicity protects transport from an undesirable influence of material imperfections and makes the magnetically doped wire very promising elements for nanoelectronics and spintronics. However, fabricating purely 1D conductors is experimentally very challenging and not always feasible. In this paper, we show that the protected helical transport can exist even inquasi-1D wires. We model the quasi-1D magnetically doped wire as two coupled dense 1D Kondo chains. Each chain consists of itinerant electrons interacting with localized quantum magnetic moments - Kondo impurities. We have analyzed the regimes of weak-, intermediate- and strong inter-chain coupling and found conditions necessary for the origin of the aforementioned protected transport. Our results give a push for experimental realizations of the helical states in magnetically doped wires.},
doi = {10.1103/physrevb.102.161102},
journal = {Physical Review. B},
number = 16,
volume = 102,
place = {United States},
year = {Tue Oct 06 00:00:00 EDT 2020},
month = {Tue Oct 06 00:00:00 EDT 2020}
}
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Works referenced in this record:
The one-dimensional Kondo lattice model studied by the density matrix renormalization group method
journal, January 1999
- Shibata, Naokazu; Ueda, Kazuo
- Journal of Physics: Condensed Matter, Vol. 11, Issue 2
Topological insulators and superconductors
journal, October 2011
- Qi, Xiao-Liang; Zhang, Shou-Cheng
- Reviews of Modern Physics, Vol. 83, Issue 4
Transport in magnetically doped one-dimensional wires: can the helical protection emerge without the global helicity?
journal, May 2020
- Tsvelik, A. M.; Yevtushenko, O. M.
- New Journal of Physics, Vol. 22, Issue 5
Nuclear magnetism and electron order in interacting one-dimensional conductors
journal, October 2009
- Braunecker, Bernd; Simon, Pascal; Loss, Daniel
- Physical Review B, Vol. 80, Issue 16
Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
journal, February 2014
- Scheller, C. P.; Liu, T. -M.; Barak, G.
- Physical Review Letters, Vol. 112, Issue 6
Nuclear Magnetism and Electronic Order in Nanotubes
journal, March 2009
- Braunecker, Bernd; Simon, Pascal; Loss, Daniel
- Physical Review Letters, Vol. 102, Issue 11
High-resolution studies of the Majorana atomic chain platform
journal, November 2016
- Feldman, Benjamin E.; Randeria, Mallika T.; Li, Jian
- Nature Physics, Vol. 13, Issue 3
One-Dimensional Kondo Lattice at Partial Band Filling
journal, March 1997
- Honner, Graeme; Gulácsi, Miklós
- Physical Review Letters, Vol. 78, Issue 11
Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007
- Konig, M.; Wiedmann, S.; Brune, C.
- Science, Vol. 318, Issue 5851, p. 766-770
Conductance through a helical state in an Indium antimonide nanowire
journal, September 2017
- Kammhuber, J.; Cassidy, M. C.; Pei, F.
- Nature Communications, Vol. 8, 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
Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
journal, July 2017
- Murani, Anil; Kasumov, Alik; Sengupta, Shamashis
- Nature Communications, Vol. 8, Issue 1
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
journal, December 2006
- Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C.
- Science, Vol. 314, Issue 5806, p. 1757-1761
Signatures of interaction-induced helical gaps in nanowire quantum point contacts
journal, March 2017
- Heedt, S.; Traverso Ziani, N.; Crépin, F.
- Nature Physics, Vol. 13, Issue 6
Evidence for Helical Edge Modes in Inverted Quantum Wells
journal, September 2011
- Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard
- Physical Review Letters, Vol. 107, Issue 13
Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling
journal, November 2002
- Novais, E.; Miranda, E.; Castro Neto, A. H.
- Physical Review B, Vol. 66, Issue 17
Quantum Phase Transition and Protected Ideal Transport in a Kondo Chain
journal, November 2015
- Tsvelik, A. M.; Yevtushenko, O. M.
- Physical Review Letters, Vol. 115, Issue 21
Spin-Orbit Coupling Effects in Zinc Blende Structures
journal, October 1955
- Dresselhaus, G.
- Physical Review, Vol. 100, Issue 2
Kondo lattice on the edge of a two-dimensional topological insulator
journal, June 2012
- Maciejko, Joseph
- Physical Review B, Vol. 85, Issue 24
Helical states in curved bilayer graphene
journal, December 2012
- Klinovaja, Jelena; Ferreira, Gerson J.; Loss, Daniel
- Physical Review B, Vol. 86, Issue 23
Helical Modes in Carbon Nanotubes Generated by Strong Electric Fields
journal, April 2011
- Klinovaja, Jelena; Schmidt, Manuel J.; Braunecker, Bernd
- Physical Review Letters, Vol. 106, Issue 15
Exact Results for a 1D Kondo Lattice from Bosonization
journal, August 1996
- Zachar, Oron; Kivelson, S. A.; Emery, V. J.
- Physical Review Letters, Vol. 77, Issue 7
Correlation exponent of the one-dimensional Kondo lattice model
journal, August 2004
- Xavier, J. C.; Miranda, E.
- Physical Review B, Vol. 70, Issue 7
Synthetic spin–orbit interaction for Majorana devices
journal, August 2019
- Desjardins, M. M.; Contamin, L. C.; Delbecq, M. R.
- Nature Materials, Vol. 18, Issue 10
The Quantum Spin Hall Effect: Theory and Experiment
journal, March 2008
- König, Markus; Buhmann, Hartmut; W. Molenkamp, Laurens
- Journal of the Physical Society of Japan, Vol. 77, Issue 3
Images of Edge Current in Quantum Wells
journal, July 2014
- Spanton, Eric M.; Nowack, Katja C.; Du, Lingjie
- Physical Review Letters, Vol. 113, Issue 2
Observation of a one-dimensional spin–orbit gap in a quantum wire
journal, March 2010
- Quay, C. H. L.; Hughes, T. L.; Sulpizio, J. A.
- Nature Physics, Vol. 6, Issue 5
Ferromagnetism of the one-dimensional Kondo-lattice model: A quantum Monte Carlo study
journal, February 1993
- Troyer, M.; Würtz, D.
- Physical Review B, Vol. 47, Issue 5
Observation of Edge Transport in the Disordered Regime of Topologically Insulating Quantum Wells
journal, January 2014
- Knez, Ivan; Rettner, Charles T.; Yang, See-Hun
- Physical Review Letters, Vol. 112, Issue 2
Emergent topological properties in interacting one-dimensional systems with spin-orbit coupling
journal, July 2015
- Kainaris, Nikolaos; Carr, Sam T.
- Physical Review B, Vol. 92, Issue 3
Colloquium: Topological insulators
journal, November 2010
- Hasan, M. Z.; Kane, C. L.
- Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067
Higher-order topology in bismuth
journal, July 2018
- Schindler, Frank; Wang, Zhijun; Vergniory, Maia G.
- Nature Physics, Vol. 14, Issue 9
Quantum Spin Hall Effect in Inverted Type-II Semiconductors
journal, June 2008
- Liu, Chaoxing; Hughes, Taylor L.; Qi, Xiao-Liang
- Physical Review Letters, Vol. 100, Issue 23
The ground-state phase diagram of the one-dimensional Kondo lattice model
journal, July 1997
- Tsunetsugu, Hirokazu; Sigrist, Manfred; Ueda, Kazuo
- Reviews of Modern Physics, Vol. 69, Issue 3
Cleaved edge overgrowth for quantum wire fabrication
journal, February 1993
- Pfeiffer, Loren; Störmer, H. L.; Baldwin, K. W.
- Journal of Crystal Growth, Vol. 127, Issue 1-4
Topological Superconductivity and Majorana Fermions in RKKY Systems
journal, November 2013
- Klinovaja, Jelena; Stano, Peter; Yazdani, Ali
- Physical Review Letters, Vol. 111, Issue 18
Phase Diagram of the Anisotropic Kondo Chain
journal, May 2002
- Novais, E.; Miranda, E.; Castro Neto, A. H.
- Physical Review Letters, Vol. 88, Issue 21
Quantum Field Theory in Condensed Matter Physics
book, January 2010
- Tsvelik, Alexei M.
- Cambridge University Press
Transport in helical Luttinger liquid with Kondo impurities
journal, December 2015
- Yevtushenko, Oleg M.; Wugalter, Ari; Yudson, Vladimir I.
- EPL (Europhysics Letters), Vol. 112, Issue 5
Low energy properties of the Kondo chain in the RKKY regime
journal, May 2016
- Schimmel, D. H.; Tsvelik, A. M.; Yevtushenko, O. M.
- New Journal of Physics, Vol. 18, Issue 5
Ballistic One-Dimensional Holes with Strong g -Factor Anisotropy in Germanium
journal, July 2018
- Mizokuchi, R.; Maurand, R.; Vigneau, F.
- Nano Letters, Vol. 18, Issue 8
Quantum Spin Hall Effect
journal, March 2006
- Bernevig, B. Andrei; Zhang, Shou-Cheng
- Physical Review Letters, Vol. 96, Issue 10
One-dimensional topological edge states of bismuth bilayers
journal, August 2014
- Drozdov, Ilya K.; Alexandradinata, A.; Jeon, Sangjun
- Nature Physics, Vol. 10, Issue 9
Localization at the Edge of a 2D Topological Insulator by Kondo Impurities with Random Anisotropies
journal, August 2013
- Altshuler, B. L.; Aleiner, I. L.; Yudson, V. I.
- Physical Review Letters, Vol. 111, Issue 8
Magnetic moments in a helical edge can make weak correlations seem strong
journal, June 2016
- Väyrynen, Jukka I.; Geissler, Florian; Glazman, Leonid I.
- Physical Review B, Vol. 93, Issue 24
Physics of arbitrarily doped Kondo lattices: From a commensurate insulator to a heavy Luttinger liquid and a protected helical metal
journal, October 2019
- Tsvelik, A. M.; Yevtushenko, O. M.
- Physical Review B, Vol. 100, Issue 16
Replication data and theory code for: Observation of a Majorana zero mode in a topologically protected edge channel
dataset, January 2019
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