Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm

Stäbler, Florian; Tsvelik, Alexei M.; Yevtushenko, Oleg M.

doi:10.1103/physrevb.102.161102

Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm

Journal Article · Tue Oct 06 00:00:00 EDT 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.161102· OSTI ID:1668650

Stäbler, Florian ^[1]; ^[2]; Yevtushenko, Oleg M. ^[1]

Ludwig Maximilian Univ. of Munich, Munich (Germany)
Brookhaven National Lab. (BNL), Upton, NY (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012704

OSTI ID:: 1668650

Report Number(s):: BNL--219875-2020-JAAM

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (50)

Replication data and theory code for: Observation of a Majorana zero mode in a topologically protected edge channel No authors listed Zenodo https://doi.org/10.5281/zenodo.2779382	dataset	January 2019
Cleaved edge overgrowth for quantum wire fabrication Pfeiffer, Loren; Störmer, H. L.; Baldwin, K. W. Journal of Crystal Growth, Vol. 127, Issue 1-4 https://doi.org/10.1016/0022-0248(93)90746-J	journal	February 1993
The Kondo lattice and weak antiferromagnetism Doniach, S. Physica B+C, Vol. 91 https://doi.org/10.1016/0378-4363(77)90190-5	journal	July 1977
Quantum Field Theory in Condensed Matter Physics Tsvelik, Alexei M. Cambridge University Press https://doi.org/10.1017/CBO9780511615832	book	January 2010
Ballistic One-Dimensional Holes with Strong g -Factor Anisotropy in Germanium Mizokuchi, R.; Maurand, R.; Vigneau, F. Nano Letters, Vol. 18, Issue 8 https://doi.org/10.1021/acs.nanolett.8b01457	journal	July 2018
Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry Murani, Anil; Kasumov, Alik; Sengupta, Shamashis Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15941	journal	July 2017
Observation of a one-dimensional spin–orbit gap in a quantum wire Quay, C. H. L.; Hughes, T. L.; Sulpizio, J. A. Nature Physics, Vol. 6, Issue 5 https://doi.org/10.1038/nphys1626	journal	March 2010
One-dimensional topological edge states of bismuth bilayers Drozdov, Ilya K.; Alexandradinata, A.; Jeon, Sangjun Nature Physics, Vol. 10, Issue 9 https://doi.org/10.1038/nphys3048	journal	August 2014
High-resolution studies of the Majorana atomic chain platform Feldman, Benjamin E.; Randeria, Mallika T.; Li, Jian Nature Physics, Vol. 13, Issue 3 https://doi.org/10.1038/nphys3947	journal	November 2016
Signatures of interaction-induced helical gaps in nanowire quantum point contacts Heedt, S.; Traverso Ziani, N.; Crépin, F. Nature Physics, Vol. 13, Issue 6 https://doi.org/10.1038/nphys4070	journal	March 2017
Conductance through a helical state in an Indium antimonide nanowire Kammhuber, J.; Cassidy, M. C.; Pei, F. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00315-y	journal	September 2017
Synthetic spin–orbit interaction for Majorana devices Desjardins, M. M.; Contamin, L. C.; Delbecq, M. R. Nature Materials, Vol. 18, Issue 10 https://doi.org/10.1038/s41563-019-0457-6	journal	August 2019
Higher-order topology in bismuth Schindler, Frank; Wang, Zhijun; Vergniory, Maia G. Nature Physics, Vol. 14, Issue 9 https://doi.org/10.1038/s41567-018-0224-7	journal	July 2018
The one-dimensional Kondo lattice model studied by the density matrix renormalization group method Shibata, Naokazu; Ueda, Kazuo Journal of Physics: Condensed Matter, Vol. 11, Issue 2 https://doi.org/10.1088/0953-8984/11/2/002	journal	January 1999
Low energy properties of the Kondo chain in the RKKY regime Schimmel, D. H.; Tsvelik, A. M.; Yevtushenko, O. M. New Journal of Physics, Vol. 18, Issue 5 https://doi.org/10.1088/1367-2630/18/5/053004	journal	May 2016
Transport in magnetically doped one-dimensional wires: can the helical protection emerge without the global helicity? Tsvelik, A. M.; Yevtushenko, O. M. New Journal of Physics, Vol. 22, Issue 5 https://doi.org/10.1088/1367-2630/ab82bb	journal	May 2020
Quantum Physics in One Dimension Giamarchi, Thierry https://doi.org/10.1093/acprof:oso/9780198525004.001.0001	book	December 2003
Spin-Orbit Coupling Effects in Zinc Blende Structures Dresselhaus, G. Physical Review, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRev.100.580	journal	October 1955
Physics of arbitrarily doped Kondo lattices: From a commensurate insulator to a heavy Luttinger liquid and a protected helical metal Tsvelik, A. M.; Yevtushenko, O. M. Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/PhysRevB.100.165110	journal	October 2019
Ferromagnetism of the one-dimensional Kondo-lattice model: A quantum Monte Carlo study Troyer, M.; Würtz, D. Physical Review B, Vol. 47, Issue 5 https://doi.org/10.1103/PhysRevB.47.2886	journal	February 1993
Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling Novais, E.; Miranda, E.; Castro Neto, A. H. Physical Review B, Vol. 66, Issue 17 https://doi.org/10.1103/PhysRevB.66.174409	journal	November 2002
Correlation exponent K ρ of the one-dimensional Kondo lattice model Xavier, J. C.; Miranda, E. Physical Review B, Vol. 70, Issue 7 https://doi.org/10.1103/PhysRevB.70.075110	journal	August 2004
Nuclear magnetism and electron order in interacting one-dimensional conductors Braunecker, Bernd; Simon, Pascal; Loss, Daniel Physical Review B, Vol. 80, Issue 16 https://doi.org/10.1103/PhysRevB.80.165119	journal	October 2009
Kondo lattice on the edge of a two-dimensional topological insulator Maciejko, Joseph Physical Review B, Vol. 85, Issue 24 https://doi.org/10.1103/PhysRevB.85.245108	journal	June 2012
Helical states in curved bilayer graphene Klinovaja, Jelena; Ferreira, Gerson J.; Loss, Daniel Physical Review B, Vol. 86, Issue 23 https://doi.org/10.1103/PhysRevB.86.235416	journal	December 2012
Emergent topological properties in interacting one-dimensional systems with spin-orbit coupling Kainaris, Nikolaos; Carr, Sam T. Physical Review B, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevB.92.035139	journal	July 2015
Magnetic moments in a helical edge can make weak correlations seem strong Väyrynen, Jukka I.; Geissler, Florian; Glazman, Leonid I. Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.241301	journal	June 2016
Quantum Spin Hall Effect in Inverted Type-II Semiconductors Liu, Chaoxing; Hughes, Taylor L.; Qi, Xiao-Liang Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.236601	journal	June 2008
Nuclear Magnetism and Electronic Order in C 13 Nanotubes Braunecker, Bernd; Simon, Pascal; Loss, Daniel Physical Review Letters, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevLett.102.116403	journal	March 2009
Helical Modes in Carbon Nanotubes Generated by Strong Electric Fields Klinovaja, Jelena; Schmidt, Manuel J.; Braunecker, Bernd Physical Review Letters, Vol. 106, Issue 15 https://doi.org/10.1103/PhysRevLett.106.156809	journal	April 2011
Evidence for Helical Edge Modes in Inverted InAs / GaSb Quantum Wells Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.136603	journal	September 2011
Localization at the Edge of a 2D Topological Insulator by Kondo Impurities with Random Anisotropies Altshuler, B. L.; Aleiner, I. L.; Yudson, V. I. Physical Review Letters, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevLett.111.086401	journal	August 2013
Topological Superconductivity and Majorana Fermions in RKKY Systems Klinovaja, Jelena; Stano, Peter; Yazdani, Ali Physical Review Letters, Vol. 111, Issue 18 https://doi.org/10.1103/PhysRevLett.111.186805	journal	November 2013
Observation of Edge Transport in the Disordered Regime of Topologically Insulating InAs / GaSb Quantum Wells Knez, Ivan; Rettner, Charles T.; Yang, See-Hun Physical Review Letters, Vol. 112, Issue 2 https://doi.org/10.1103/PhysRevLett.112.026602	journal	January 2014
Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires Scheller, C. P.; Liu, T. -M.; Barak, G. Physical Review Letters, Vol. 112, Issue 6 https://doi.org/10.1103/PhysRevLett.112.066801	journal	February 2014
Images of Edge Current in InAs / GaSb Quantum Wells Spanton, Eric M.; Nowack, Katja C.; Du, Lingjie Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.026804	journal	July 2014
Quantum Phase Transition and Protected Ideal Transport in a Kondo Chain Tsvelik, A. M.; Yevtushenko, O. M. Physical Review Letters, Vol. 115, Issue 21 https://doi.org/10.1103/PhysRevLett.115.216402	journal	November 2015
Kondo Impurities Coupled to a Helical Luttinger Liquid: RKKY-Kondo Physics Revisited Yevtushenko, Oleg M.; Yudson, Vladimir I. Physical Review Letters, Vol. 120, Issue 14 https://doi.org/10.1103/PhysRevLett.120.147201	journal	April 2018
Exact Results for a 1D Kondo Lattice from Bosonization Zachar, Oron; Kivelson, S. A.; Emery, V. J. Physical Review Letters, Vol. 77, Issue 7 https://doi.org/10.1103/PhysRevLett.77.1342	journal	August 1996
One-Dimensional Kondo Lattice at Partial Band Filling Honner, Graeme; Gulácsi, Miklós Physical Review Letters, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevLett.78.2180	journal	March 1997
Phase Diagram of the Anisotropic Kondo Chain Novais, E.; Miranda, E.; Castro Neto, A. H. Physical Review Letters, Vol. 88, Issue 21 https://doi.org/10.1103/PhysRevLett.88.217201	journal	May 2002
Quantum Spin Hall Effect Bernevig, B. Andrei; Zhang, Shou-Cheng Physical Review Letters, Vol. 96, Issue 10 https://doi.org/10.1103/PhysRevLett.96.106802	journal	March 2006
The ground-state phase diagram of the one-dimensional Kondo lattice model Tsunetsugu, Hirokazu; Sigrist, Manfred; Ueda, Kazuo Reviews of Modern Physics, Vol. 69, Issue 3 https://doi.org/10.1103/RevModPhys.69.809	journal	July 1997
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C. Science, Vol. 314, Issue 5806, p. 1757-1761 https://doi.org/10.1126/science.1133734	journal	December 2006
Quantum Spin Hall Insulator State in HgTe Quantum Wells Konig, M.; Wiedmann, S.; Brune, C. Science, Vol. 318, Issue 5851, p. 766-770 https://doi.org/10.1126/science.1148047	journal	November 2007
Observation of a Majorana zero mode in a topologically protected edge channel Jäck, Berthold; Xie, Yonglong; Li, Jian Science, Vol. 364, Issue 6447 https://doi.org/10.1126/science.aax1444	journal	June 2019
The Quantum Spin Hall Effect: Theory and Experiment König, Markus; Buhmann, Hartmut; W. Molenkamp, Laurens Journal of the Physical Society of Japan, Vol. 77, Issue 3 https://doi.org/10.1143/JPSJ.77.031007	journal	March 2008
Transport in helical Luttinger liquid with Kondo impurities Yevtushenko, Oleg M.; Wugalter, Ari; Yudson, Vladimir I. EPL (Europhysics Letters), Vol. 112, Issue 5 https://doi.org/10.1209/0295-5075/112/57003	journal	December 2015

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