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Physics of Arbitrarily Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal
Abstract
We study one-dimensional Kondo Lattices (KL) which consist of itinerant electrons interacting with Kondo impurities (KI) - localized quantum magnetic moments. We focus on KL with isotropic exchange interaction between electrons and KI and with a high KI density. The latter determines the principal r ole of the indirect interaction between KI for the low energy physics. Namely, the Kondo physics becomes suppressed and all properties are governed by spin ordering. We present a first-ever comprehensive analytical theory of such KL at an arbitrary doping and predict a variety of regimes with different electronic phases. They range from commensurate insulators (at filling factors 1/2, 1/4 and 3/4) to metals with strongly interacting conduction electrons (close to these three special cases) to an exotic phase of a helical metal. The helical metals can provide a unique platform for realization of an emergent protection of ballistic transport in quantum wires. We compare out theory with previously obtained numerical results and discuss possible experiments where the theory could be tested.
- Authors:
-
[1];
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Ludwig Maximilian Univ., Munich (Germany)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
- OSTI Identifier:
- 1559123
- Report Number(s):
- BNL-212018-2019-JAAM
Journal ID: ISSN 2469-9950
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; 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
Tsvelik, Alexei M., and Yevtushenko, O. M. Physics of Arbitrarily Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.165110.
Tsvelik, Alexei M., & Yevtushenko, O. M. Physics of Arbitrarily Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal. United States. doi:10.1103/PhysRevB.100.165110.
Tsvelik, Alexei M., and Yevtushenko, O. M. Fri .
"Physics of Arbitrarily Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal". United States. doi:10.1103/PhysRevB.100.165110.
@article{osti_1559123,
title = {Physics of Arbitrarily Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal},
author = {Tsvelik, Alexei M. and Yevtushenko, O. M.},
abstractNote = {We study one-dimensional Kondo Lattices (KL) which consist of itinerant electrons interacting with Kondo impurities (KI) - localized quantum magnetic moments. We focus on KL with isotropic exchange interaction between electrons and KI and with a high KI density. The latter determines the principal r ole of the indirect interaction between KI for the low energy physics. Namely, the Kondo physics becomes suppressed and all properties are governed by spin ordering. We present a first-ever comprehensive analytical theory of such KL at an arbitrary doping and predict a variety of regimes with different electronic phases. They range from commensurate insulators (at filling factors 1/2, 1/4 and 3/4) to metals with strongly interacting conduction electrons (close to these three special cases) to an exotic phase of a helical metal. The helical metals can provide a unique platform for realization of an emergent protection of ballistic transport in quantum wires. We compare out theory with previously obtained numerical results and discuss possible experiments where the theory could be tested.},
doi = {10.1103/PhysRevB.100.165110},
journal = {Physical Review B},
number = 16,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
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Works referenced in this record:
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
The one-dimensional Kondo lattice model at partial band filling
journal, November 2004
- Gulácsi *, Miklós
- Advances in Physics, Vol. 53, Issue 7
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
Stability of the Kondo lattice in the large- limit
journal, October 1984
- Read, N.; Newns, D. M.; Doniach, S.
- Physical Review B, Vol. 30, Issue 7
Kondo Bosons and the Kondo Lattice: Microscopic Basis for the Heavy Fermi Liquid
journal, August 1986
- Auerbach, Assa; Levin, K.
- Physical Review Letters, Vol. 57, Issue 7
Magnetic and non-magnetic ground states of the Kondo lattice
journal, June 1991
- Fazekas, P.; M�ller-Hartmann, E.
- Zeitschrift f�r Physik B Condensed Matter, Vol. 85, Issue 2
Ferromagnetism in the strong-coupling regime of the one-dimensional Kondo-lattice model
journal, December 1992
- Sigrist, Manfred; Tsunetsugu, Hirokazu; Ueda, Kazuo
- Physical Review B, Vol. 46, Issue 21
Spin-liquid ground state of the half-filled Kondo lattice in one dimension
journal, August 1992
- Tsunetsugu, Hirokazu; Hatsugai, Yasuhiro; Ueda, Kazuo
- Physical Review B, Vol. 46, 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
Phase diagram of the Kondo lattice model
journal, May 1993
- Ueda, Kazuo; Tsunetsugu, Hirokazu; Sigrist, Manfred
- Physica B: Condensed Matter, Vol. 186-188
Semiclassical solution of one dimensional model of Kondo insulator
journal, February 1994
- Tsvelik, A. M.
- Physical Review Letters, Vol. 72, Issue 7
Néel orders, Haldane gap, and Kondo singlet phase in the anisotropic Kondo chain
journal, February 1995
- Shibata, Naokazu; Ishii, Chikara; Ueda, Kazuo
- Physical Review B, Vol. 51, Issue 6
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
Friedel oscillations in the one-dimensional Kondo lattice model
journal, November 1996
- Shibata, Naokazu; Ueda, Kazuo; Nishino, Tomotoshi
- Physical Review B, Vol. 54, Issue 19
One-dimensional Kondo lattice model as a Tomonaga-Luttinger liquid
journal, July 1997
- Shibata, Naokazu; Tsvelik, Alexei; Ueda, Kazuo
- Physical Review B, Vol. 56, Issue 1
One-Dimensional Kondo Lattice at Partial Band Filling
journal, March 1997
- Honner, Graeme; Gulácsi, Miklós
- Physical Review Letters, Vol. 78, Issue 11
Spin Gap in a Doped Kondo Chain
journal, August 1997
- Sikkema, Arnold E.; Affleck, Ian; White, Steven R.
- Physical Review Letters, Vol. 79, Issue 5
Localized spin ordering in Kondo lattice models
journal, January 2002
- McCulloch, I. P.; Juozapavicius, A.; Rosengren, A.
- Physical Review B, Vol. 65, Issue 5
Small Fermi surface in the one-dimensional Kondo lattice model
journal, May 2002
- Xavier, J. C.; Novais, E.; Miranda, E.
- Physical Review B, Vol. 65, Issue 21
Friedel oscillations and charge density waves in chains and ladders
journal, April 2002
- White, Steven R.; Affleck, Ian; Scalapino, Douglas J.
- Physical Review B, Vol. 65, Issue 16
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
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
Ferromagnetic phases in the Kondo lattice model
journal, July 2002
- Juozapavicius, A.; McCulloch, I. P.; Gulacsi, M.
- Philosophical Magazine B, Vol. 82, Issue 11
Dimerization Induced by the RKKY Interaction
journal, June 2003
- Xavier, J. C.; Pereira, R. G.; Miranda, E.
- Physical Review Letters, Vol. 90, Issue 24
Correlation exponent of the one-dimensional Kondo lattice model
journal, August 2004
- Xavier, J. C.; Miranda, E.
- Physical Review B, Vol. 70, Issue 7
Scaling the Kondo lattice
journal, July 2008
- Yang, Yi-feng; Fisk, Zachary; Lee, Han-Oh
- Nature, Vol. 454, Issue 7204
Coulomb interaction effects and electron spin relaxation in the one-dimensional Kondo lattice model
journal, February 2011
- Smerat, Sebastian; Schoeller, Herbert; McCulloch, Ian P.
- Physical Review B, Vol. 83, Issue 8
Ferromagnetic state in the one-dimensional Kondo lattice model
journal, October 2012
- Peters, Robert; Kawakami, Norio
- Physical Review B, Vol. 86, Issue 16
Kondo lattice on the edge of a two-dimensional topological insulator
journal, June 2012
- Maciejko, Joseph
- Physical Review B, Vol. 85, Issue 24
Visualizing heavy fermions emerging in a quantum critical Kondo lattice
journal, June 2012
- Aynajian, Pegor; da Silva Neto, Eduardo H.; Gyenis, András
- Nature, Vol. 486, Issue 7402
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
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
Doped Kondo chain, a heavy Luttinger liquid
journal, April 2018
- Khait, Ilia; Azaria, Patrick; Hubig, Claudius
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 20
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
journal, January 1996
- Georges, Antoine; Kotliar, Gabriel; Krauth, Werner
- Reviews of Modern Physics, Vol. 68, Issue 1
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
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
Kondo Impurities Coupled to a Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
journal, April 2018
- Yevtushenko, Oleg M.; Yudson, Vladimir I.
- Physical Review Letters, Vol. 120, Issue 14
Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system
journal, March 2004
- Pershin, Yuriy V.; Nesteroff, James A.; Privman, Vladimir
- Physical Review B, Vol. 69, Issue 12
Nuclear Magnetism and Electronic Order in Nanotubes
journal, March 2009
- Braunecker, Bernd; Simon, Pascal; Loss, Daniel
- Physical Review Letters, Vol. 102, Issue 11
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
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
Strong spin-orbit interaction and helical hole states in Ge/Si nanowires
journal, November 2011
- Kloeffel, Christoph; Trif, Mircea; Loss, Daniel
- Physical Review B, Vol. 84, Issue 19
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
Carbon nanotubes in electric and magnetic fields
journal, August 2011
- Klinovaja, Jelena; Schmidt, Manuel J.; Braunecker, Bernd
- Physical Review B, Vol. 84, Issue 8
Helical states in curved bilayer graphene
journal, December 2012
- Klinovaja, Jelena; Ferreira, Gerson J.; Loss, Daniel
- Physical Review B, Vol. 86, Issue 23
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
Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
journal, December 2016
- Pedder, Christopher J.; Meng, Tobias; Tiwari, Rakesh P.
- Physical Review B, Vol. 94, Issue 24
Interaction induced topological protection in one-dimensional conductors: Interaction induced topological protection in one-dimensional conductors
journal, January 2017
- Kainaris, Nikolaos; Santos, Raul A.; Gutman, D. B.
- Fortschritte der Physik, Vol. 65, Issue 6-8
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
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
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
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
Chiral Spin Order in Kondo-Heisenberg Systems
journal, December 2017
- Tsvelik, A. M.; Yevtushenko, O. M.
- Physical Review Letters, Vol. 119, Issue 24
Chiral lattice supersolid on edges of quantum spin Hall samples
journal, August 2018
- Yevtushenko, Oleg M.; Tsvelik, A. M.
- Physical Review B, Vol. 98, Issue 8
Exact solution of the O(3) nonlinear σ-model
journal, March 1985
- Wiegmann, P. B.
- Physics Letters B, Vol. 152, Issue 3-4
Integrable perturbations of ZN parafermion models and the O(3) sigma model
journal, November 1991
- Fateev, V. A.; Zamolodchikov, Al. B.
- Physics Letters B, Vol. 271, Issue 1-2
Nonperturbative Approach to Luttinger's Theorem in One Dimension
journal, August 1997
- Yamanaka, Masanori; Oshikawa, Masaki; Affleck, Ian
- Physical Review Letters, Vol. 79, Issue 6
Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice
journal, April 2000
- Oshikawa, Masaki
- Physical Review Letters, Vol. 84, Issue 15
Anderson localization and interactions in one-dimensional metals
journal, January 1988
- Giamarchi, T.; Schulz, H. J.
- Physical Review B, Vol. 37, Issue 1
Low-temperature properties of two-dimensional frustrated quantum antiferromagnets
journal, March 1992
- Azaria, P.; Delamotte, B.; Mouhanna, D.
- Physical Review Letters, Vol. 68, Issue 11
Charge density wave in a doped Kondo chain
journal, May 2019
- Huang, Yixuan; Sheng, D. N.; Ting, C. S.
- Physical Review B, Vol. 99, Issue 19
Localized Magnetic Moments with Tunable Spin Exchange in a Gas of Ultracold Fermions
journal, April 2018
- Riegger, L.; Darkwah Oppong, N.; Höfer, M.
- Physical Review Letters, Vol. 120, Issue 14
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
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
Electrical conductivity and X-ray diffuse scattering study of the family of organic conductors (perylene) 2 M(mnt) 2 , (M=Pt, Pd, Au)
journal, October 1984
- Henriques, R. T.; Alcacer, L.; Pouget, J. P.
- Journal of Physics C: Solid State Physics, Vol. 17, Issue 29
Electrical conductivity of (perylene) 2 M(MNT) 2 (M=Pt, Au) under pressure
journal, August 1986
- Henriques, R. T.; Alcacer, L.; Jerome, D.
- Journal of Physics C: Solid State Physics, Vol. 19, Issue 24
Nuclear and electronic resonance approaches to magnetic and lattice fluctuations in the two-chain family of organic compounds (perylene [ M ( (CN ] ( M =Pt,Au)
journal, July 1991
- Bourbonnais, C.; Henriques, R. T.; Wzietek, P.
- Physical Review B, Vol. 44, Issue 2
Modification of the magnetic-field dependence of the Peierls transition by a magnetic chain
journal, December 1996
- Matos, Manuel; Bonfait, Gregoire; Henriques, Rui T.
- Physical Review B, Vol. 54, Issue 21
Interaction of magnetic field-dependent Peierls and spin-Peierls ground states in [Pt ]
journal, September 2011
- Green, E. L.; Brooks, J. S.; Kuhns, P. L.
- Physical Review B, Vol. 84, Issue 12
Peierls and Spin-Peierls Instabilities in the Per2[M(mnt)2] Series of One-Dimensional Organic Conductors; Experimental Realization of a 1D Kondo Lattice for M = Pd, Ni and Pt
journal, February 2017
- Pouget, Jean-Paul; Foury-Leylekian, Pascale; Almeida, Manuel
- Magnetochemistry, Vol. 3, Issue 1
Synthesis, structure and preliminary results on electrical and magnetic properties of (Perylene)2 [Pt(mnt)2]
journal, September 1980
- Alcácer, L.; Novais, H.; Pedroso, F.
- Solid State Communications, Vol. 35, Issue 12
The Interplay Between Conduction Electrons and Chains of Localised Spins in The Molecular Metals (Per) 2 M(mnt) 2 , M=Au, Pt, Pd, Ni, Cu, Co and Fe
journal, October 1993
- Gama, V.; Henriques, R. T.; Bonfait, G.
- Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, Vol. 234, Issue 1
Spin-Peierls instability in Per 2 [M(mnt) 2 ] compounds probed by specific heat
journal, July 1993
- Bonfait, G.; Matos, M. J.; Henriques, R. T.
- Le Journal de Physique IV, Vol. 03, Issue C2
Functional integral bosonization for an impurity in a Luttinger liquid
journal, April 2004
- Grishin, Alex; Yurkevich, Igor V.; Lerner, Igor V.
- Physical Review B, Vol. 69, Issue 16