DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
ORCiD logo [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. 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)
OSTI Identifier:
1559123
Report Number(s):
BNL-212018-2019-JAAM
Journal ID: ISSN 2469-9950; TRN: US2000297
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. https://doi.org/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. https://doi.org/10.1103/PhysRevB.100.165110. https://www.osti.gov/servlets/purl/1559123.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The one-dimensional Kondo lattice model studied by the density matrix renormalization group method
journal, January 1999


Dimerization Induced by the RKKY Interaction
journal, June 2003


Spin Gap in a Doped Kondo Chain
journal, August 1997


One-dimensional Kondo lattice model as a Tomonaga-Luttinger liquid
journal, July 1997


Interaction of magnetic field-dependent Peierls and spin-Peierls ground states in ( P e r ) 2 [Pt ( m n t ) 2 ]
journal, September 2011


Anderson localization and interactions in one-dimensional metals
journal, January 1988


Nuclear magnetism and electron order in interacting one-dimensional conductors
journal, October 2009


Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
journal, February 2014


Modification of the magnetic-field dependence of the Peierls transition by a magnetic chain
journal, December 1996


Nuclear Magnetism and Electronic Order in C 13 Nanotubes
journal, March 2009


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
  • DOI: 10.1002/prop.201600054

One-Dimensional Kondo Lattice at Partial Band Filling
journal, March 1997


Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
journal, December 2016


Semiclassical solution of one dimensional model of Kondo insulator
journal, February 1994


Conductance through a helical state in an Indium antimonide nanowire
journal, September 2017


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
  • DOI: 10.1073/pnas.1719374115

Ferromagnetic phases in the Kondo lattice model
journal, July 2002

  • Juozapavicius, A.; McCulloch, I. P.; Gulacsi, M.
  • Philosophical Magazine B, Vol. 82, Issue 11
  • DOI: 10.1080/13642810208223159

Friedel oscillations in the one-dimensional Kondo lattice model
journal, November 1996


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
  • DOI: 10.1038/nphys4070

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
  • DOI: 10.1088/0022-3719/19/24/010

Low-temperature properties of two-dimensional frustrated quantum antiferromagnets
journal, March 1992


Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling
journal, November 2002


Ferromagnetic state in the one-dimensional Kondo lattice model
journal, October 2012


Quantum Phase Transition and Protected Ideal Transport in a Kondo Chain
journal, November 2015


Friedel oscillations and charge density waves in chains and ladders
journal, April 2002


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
  • DOI: 10.1080/10587259308042912

Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system
journal, March 2004


Kondo lattice on the edge of a two-dimensional topological insulator
journal, June 2012


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
  • DOI: 10.1103/PhysRevB.46.3175

Helical states in curved bilayer graphene
journal, December 2012


Chiral Spin Order in Kondo-Heisenberg Systems
journal, December 2017


Helical Modes in Carbon Nanotubes Generated by Strong Electric Fields
journal, April 2011


Exact Results for a 1D Kondo Lattice from Bosonization
journal, August 1996


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
  • DOI: 10.1007/BF01313231

Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
journal, July 2010


Correlation exponent K ρ of the one-dimensional Kondo lattice model
journal, August 2004


Strong spin-orbit interaction and helical hole states in Ge/Si nanowires
journal, November 2011


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
  • DOI: 10.1038/nature11204

Ferromagnetism of the one-dimensional Kondo-lattice model: A quantum Monte Carlo study
journal, February 1993


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
  • DOI: 10.1038/nphys1626

Integrable perturbations of ZN parafermion models and the O(3) sigma model
journal, November 1991


Emergent topological properties in interacting one-dimensional systems with spin-orbit coupling
journal, July 2015


Néel orders, Haldane gap, and Kondo singlet phase in the anisotropic Kondo chain
journal, February 1995


Synthesis, structure and preliminary results on electrical and magnetic properties of (Perylene)2 [Pt(mnt)2]
journal, September 1980


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
  • DOI: 10.1103/RevModPhys.69.809

Ferromagnetism in the strong-coupling regime of the one-dimensional Kondo-lattice model
journal, December 1992


Localized spin ordering in Kondo lattice models
journal, January 2002


Cleaved edge overgrowth for quantum wire fabrication
journal, February 1993


Scaling the Kondo lattice
journal, July 2008

  • Yang, Yi-feng; Fisk, Zachary; Lee, Han-Oh
  • Nature, Vol. 454, Issue 7204
  • DOI: 10.1038/nature07157

Phase Diagram of the Anisotropic Kondo Chain
journal, May 2002


The one-dimensional Kondo lattice model at partial band filling
journal, November 2004


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
  • DOI: 10.1209/0295-5075/112/57003

Small Fermi surface in the one-dimensional Kondo lattice model
journal, May 2002


Low energy properties of the Kondo chain in the RKKY regime
journal, May 2016


Ballistic One-Dimensional Holes with Strong g -Factor Anisotropy in Germanium
journal, July 2018


Kondo Bosons and the Kondo Lattice: Microscopic Basis for the Heavy Fermi Liquid
journal, August 1986


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
  • DOI: 10.1103/RevModPhys.68.13

Coulomb interaction effects and electron spin relaxation in the one-dimensional Kondo lattice model
journal, February 2011


The Kondo lattice and weak antiferromagnetism
journal, July 1977


Carbon nanotubes in electric and magnetic fields
journal, August 2011


Exact solution of the O(3) nonlinear σ-model
journal, March 1985


Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice
journal, April 2000


Stability of the Kondo lattice in the large- N limit
journal, October 1984


Nonperturbative Approach to Luttinger's Theorem in One Dimension
journal, August 1997


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
  • DOI: 10.1088/0022-3719/17/29/019

Localization at the Edge of a 2D Topological Insulator by Kondo Impurities with Random Anisotropies
journal, August 2013


Localized Magnetic Moments with Tunable Spin Exchange in a Gas of Ultracold Fermions
journal, April 2018


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
  • DOI: 10.1051/jp4:1993250

Chiral lattice supersolid on edges of quantum spin Hall samples
journal, August 2018


Functional integral bosonization for an impurity in a Luttinger liquid
journal, April 2004


Phase diagram of the Kondo lattice model
journal, May 1993


Kondo Impurities Coupled to a Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
journal, April 2018


Charge density wave in a doped Kondo chain
journal, May 2019