Transport in magnetically doped one-dimensional wires: can the helical protection emerge without the global helicity?

Tsvelik, A. M.; Yevtushenko, O. M.

doi:10.1088/1367-2630/ab82bb

Title: Transport in magnetically doped one-dimensional wires: can the helical protection emerge without the global helicity?

Journal Article · Tue May 05 00:00:00 EDT 2020 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/ab82bb· OSTI ID:1617395

; Yevtushenko, O. M.

We study the phase diagram and transport properties of arbitrarily doped quantum wires functionalized by magnetic adatoms. The appropriate theoretical model for these systems is a dense one-dimensional Kondo lattice (KL) which consists of itinerant electrons interacting with localized quantum magnetic moments. We discover the novel phase of the locally helical metal where transport is protected from a destructive influence of material imperfections. Paradoxically, such a protection emerges without a need of the global helicity, which is inherent in all previously studied helical systems and requires breaking the spin-rotation symmetry. We explain the physics of this protection of the new type, find conditions, under which it emerges, and discuss possible experimental tests. Our results pave the way to the straightforward realization of the protected ballistic transport in quantum wires made of various materials.

View Journal Article

Cite

Export

Save

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; German Research Foundation (DFG)

Grant/Contract Number:: SC0012704; YE 157/2-1&2

OSTI ID:: 1617395

Alternate ID(s):: OSTI ID: 1614976

Report Number(s):: BNL-213834-2020-JAAM

Journal Information:: New Journal of Physics, Journal Name: New Journal of Physics Vol. 22 Journal Issue: 5; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

Citation Metrics:

Cited by: 2 works

Citation information provided by
Web of Science

References (38)

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
Ferromagnetism in the strong-coupling regime of the one-dimensional Kondo-lattice model Sigrist, Manfred; Tsunetsugu, Hirokazu; Ueda, Kazuo Physical Review B, Vol. 46, Issue 21 https://doi.org/10.1103/physrevb.46.13838	journal	December 1992
Magnetic and non-magnetic ground states of the Kondo lattice Fazekas, P.; M�ller-Hartmann, E. Zeitschrift f�r Physik B Condensed Matter, Vol. 85, Issue 2 https://doi.org/10.1007/bf01313231	journal	June 1991
Friedel oscillations in the one-dimensional Kondo lattice model Shibata, Naokazu; Ueda, Kazuo; Nishino, Tomotoshi Physical Review B, Vol. 54, Issue 19 https://doi.org/10.1103/physrevb.54.13495	journal	November 1996
One-dimensional Kondo lattice model as a Tomonaga-Luttinger liquid Shibata, Naokazu; Tsvelik, Alexei; Ueda, Kazuo Physical Review B, Vol. 56, Issue 1 https://doi.org/10.1103/physrevb.56.330	journal	July 1997
Interaction induced topological protection in one-dimensional conductors: Interaction induced topological protection in one-dimensional conductors Kainaris, Nikolaos; Santos, Raul A.; Gutman, D. B. Fortschritte der Physik, Vol. 65, Issue 6-8 https://doi.org/10.1002/prop.201600054	journal	January 2017
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
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
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
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
Doped Kondo chain, a heavy Luttinger liquid Khait, Ilia; Azaria, Patrick; Hubig, Claudius Proceedings of the National Academy of Sciences, Vol. 115, Issue 20 https://doi.org/10.1073/pnas.1719374115	journal	April 2018
Carbon nanotubes in electric and magnetic fields Klinovaja, Jelena; Schmidt, Manuel J.; Braunecker, Bernd Physical Review B, Vol. 84, Issue 8 https://doi.org/10.1103/physrevb.84.085452	journal	August 2011
Ferromagnetic state in the one-dimensional Kondo lattice model Peters, Robert; Kawakami, Norio Physical Review B, Vol. 86, Issue 16 https://doi.org/10.1103/physrevb.86.165107	journal	October 2012
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
Localized spin ordering in Kondo lattice models McCulloch, I. P.; Juozapavicius, A.; Rosengren, A. Physical Review B, Vol. 65, Issue 5 https://doi.org/10.1103/physrevb.65.052410	journal	January 2002
Finite-temperature conductance of strongly interacting quantum wire with a nuclear spin order Aseev, Pavel P.; Klinovaja, Jelena; Loss, Daniel Physical Review B, Vol. 95, Issue 12 https://doi.org/10.1103/physrevb.95.125440	journal	March 2017
Néel orders, Haldane gap, and Kondo singlet phase in the anisotropic Kondo chain Shibata, Naokazu; Ishii, Chikara; Ueda, Kazuo Physical Review B, Vol. 51, Issue 6 https://doi.org/10.1103/physrevb.51.3626	journal	February 1995
Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}C$ nanotubes Hsu, Chen-Hsuan; Stano, Peter; Klinovaja, Jelena Physical Review B, Vol. 92, Issue 23 https://doi.org/10.1103/physrevb.92.235435	journal	December 2015
Chiral Spin Order in Kondo-Heisenberg Systems Tsvelik, A. M.; Yevtushenko, O. M. Physical Review Letters, Vol. 119, Issue 24 https://doi.org/10.1103/physrevlett.119.247203	journal	December 2017
Coulomb interaction effects and electron spin relaxation in the one-dimensional Kondo lattice model Smerat, Sebastian; Schoeller, Herbert; McCulloch, Ian P. Physical Review B, Vol. 83, Issue 8 https://doi.org/10.1103/physrevb.83.085111	journal	February 2011
Small Fermi surface in the one-dimensional Kondo lattice model Xavier, J. C.; Novais, E.; Miranda, E. Physical Review B, Vol. 65, Issue 21 https://doi.org/10.1103/physrevb.65.214406	journal	May 2002
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
Visualizing heavy fermions emerging in a quantum critical Kondo lattice Aynajian, Pegor; da Silva Neto, Eduardo H.; Gyenis, András Nature, Vol. 486, Issue 7402 https://doi.org/10.1038/nature11204	journal	June 2012
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
Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields Pedder, Christopher J.; Meng, Tobias; Tiwari, Rakesh P. Physical Review B, Vol. 94, Issue 24 https://doi.org/10.1103/physrevb.94.245414	journal	December 2016
Integrable perturbations of ZN parafermion models and the O(3) sigma model Fateev, V. A.; Zamolodchikov, Al. B. Physics Letters B, Vol. 271, Issue 1-2 https://doi.org/10.1016/0370-2693(91)91283-2	journal	November 1991
Scaling the Kondo lattice Yang, Yi-feng; Fisk, Zachary; Lee, Han-Oh Nature, Vol. 454, Issue 7204 https://doi.org/10.1038/nature07157	journal	July 2008
Phase diagram of the Kondo lattice model Ueda, Kazuo; Tsunetsugu, Hirokazu; Sigrist, Manfred Physica B: Condensed Matter, Vol. 186-188 https://doi.org/10.1016/0921-4526(93)90573-o	journal	May 1993
The one-dimensional Kondo lattice model at partial band filling Gulácsi *, Miklós Advances in Physics, Vol. 53, Issue 7 https://doi.org/10.1080/00018730412331313997	journal	November 2004
Semiclassical solution of one dimensional model of Kondo insulator Tsvelik, A. M. Physical Review Letters, Vol. 72, Issue 7 https://doi.org/10.1103/physrevlett.72.1048	journal	February 1994
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
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
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
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
Exact solution of the O(3) nonlinear σ-model Wiegmann, P. B. Physics Letters B, Vol. 152, Issue 3-4 https://doi.org/10.1016/0370-2693(85)91171-2	journal	March 1985
Edge transport in the trivial phase of InAs/GaSb Nichele, Fabrizio; Suominen, Henri J.; Kjaergaard, Morten New Journal of Physics, Vol. 18, Issue 8 https://doi.org/10.1088/1367-2630/18/8/083005	journal	July 2016
Dimerization Induced by the RKKY Interaction Xavier, J. C.; Pereira, R. G.; Miranda, E. Physical Review Letters, Vol. 90, Issue 24 https://doi.org/10.1103/physrevlett.90.247204	journal	June 2003
Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction Braunecker, Bernd; Japaridze, George I.; Klinovaja, Jelena Physical Review B, Vol. 82, Issue 4 https://doi.org/10.1103/physrevb.82.045127	journal	July 2010

Similar Records

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 · OSTI ID:1617395

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

Physics of Arbitrarily Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal

Journal Article · Fri Aug 30 00:00:00 EDT 2019 · Physical Review B · OSTI ID:1617395

Tsvelik, Alexei M.; Yevtushenko, O. M.

A microscopic Kondo lattice model for the heavy fermion antiferromagnet CeIn₃

Journal Article · Tue Dec 12 00:00:00 EST 2023 · Nature Communications · OSTI ID:1617395

Simeth, Wolfgang; Wang, Zhentao; Ghioldi, E. A.; +14 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
quantum wires
protected transport
magnetic adatoms
Kondo lattice

Title: Transport in magnetically doped one-dimensional wires: can the helical protection emerge without the global helicity?

Citation Formats

References (38)

Similar Records

Related Subjects