Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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

Journal Article · · Physical Review B
ORCiD logo [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Ludwig Maximilian Univ., Munich (Germany)
+ Show Author Affiliations

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.

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:
1559123
Report Number(s):
BNL--212018-2019-JAAM
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 16 Vol. 100; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (77)

Coulomb interaction effects and electron spin relaxation in the one-dimensional Kondo lattice model journal February 2011
Localized Magnetic Moments with Tunable Spin Exchange in a Gas of Ultracold Fermions journal April 2018
Carbon nanotubes in electric and magnetic fields journal August 2011
Ballistic One-Dimensional Holes with Strong g -Factor Anisotropy in Germanium journal July 2018
Scaling the Kondo lattice journal July 2008
Ferromagnetic phases in the Kondo lattice model journal July 2002
Exact solution of the O(3) nonlinear σ-model journal March 1985
Semiclassical solution of one dimensional model of Kondo insulator journal February 1994
Kondo Impurities Coupled to a Helical Luttinger Liquid: RKKY-Kondo Physics Revisited journal April 2018
Small Fermi surface in the one-dimensional Kondo lattice model journal May 2002
Ferromagnetic state in the one-dimensional Kondo lattice model journal October 2012
Friedel oscillations in the one-dimensional Kondo lattice model journal November 1996
Low-temperature properties of two-dimensional frustrated quantum antiferromagnets journal March 1992
Low energy properties of the Kondo chain in the RKKY regime journal May 2016
Modification of the magnetic-field dependence of the Peierls transition by a magnetic chain journal December 1996
One-dimensional Kondo lattice model as a Tomonaga-Luttinger liquid journal July 1997
Néel orders, Haldane gap, and Kondo singlet phase in the anisotropic Kondo chain journal February 1995
One-Dimensional Kondo Lattice at Partial Band Filling journal March 1997
Kondo lattice on the edge of a two-dimensional topological insulator journal June 2012
Doped Kondo chain, a heavy Luttinger liquid journal April 2018
Localization at the Edge of a 2D Topological Insulator by Kondo Impurities with Random Anisotropies journal August 2013
Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields journal December 2016
Ferromagnetism in the strong-coupling regime of the one-dimensional Kondo-lattice model journal December 1992
Topological Insulators and Topological Superconductors book January 2013
Integrable perturbations of ZN parafermion models and the O(3) sigma model journal November 1991
The one-dimensional Kondo lattice model at partial band filling journal November 2004
Chiral lattice supersolid on edges of quantum spin Hall samples journal August 2018
Strong spin-orbit interaction and helical hole states in Ge/Si nanowires journal November 2011
Nuclear and electronic resonance approaches to magnetic and lattice fluctuations in the two-chain family of organic compounds (perylene ) 2 [ M ( S 2 C 2 (CN ) 2 ) 2 ] ( M =Pt,Au) journal July 1991
Electrical conductivity of (perylene) 2 M(MNT) 2 (M=Pt, Au) under pressure journal August 1986
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal January 1996
Anderson localization and interactions in one-dimensional metals journal January 1988
Kondo Bosons and the Kondo Lattice: Microscopic Basis for the Heavy Fermi Liquid journal August 1986
Localized spin ordering in Kondo lattice models journal January 2002
Charge density wave in a doped Kondo chain journal May 2019
Nonperturbative Approach to Luttinger's Theorem in One Dimension journal August 1997
Interaction induced topological protection in one-dimensional conductors: Interaction induced topological protection in one-dimensional conductors journal January 2017
Helical Modes in Carbon Nanotubes Generated by Strong Electric Fields journal April 2011
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
  • 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 https://doi.org/10.1080/10587259308042912
journal October 1993
Spin Gap in a Doped Kondo Chain journal August 1997
Observation of a one-dimensional spin–orbit gap in a quantum wire journal March 2010
Correlation exponent K ρ of the one-dimensional Kondo lattice model journal August 2004
Nuclear Magnetism and Electronic Order in C 13 Nanotubes journal March 2009
Emergent topological properties in interacting one-dimensional systems with spin-orbit coupling journal July 2015
Synthesis, structure and preliminary results on electrical and magnetic properties of (Perylene)2 [Pt(mnt)2] journal September 1980
Quantum Field Theory in Condensed Matter Physics book January 2010
Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice journal April 2000
Transport in helical Luttinger liquid with Kondo impurities journal December 2015
Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling journal November 2002
Visualizing heavy fermions emerging in a quantum critical Kondo lattice journal June 2012
The one-dimensional Kondo lattice model studied by the density matrix renormalization group method journal January 1999
Signatures of interaction-induced helical gaps in nanowire quantum point contacts journal March 2017
Cleaved edge overgrowth for quantum wire fabrication journal February 1993
Helical states in curved bilayer graphene journal December 2012
Friedel oscillations and charge density waves in chains and ladders journal April 2002
Quantum Phase Transition and Protected Ideal Transport in a Kondo Chain journal November 2015
Exact Results for a 1D Kondo Lattice from Bosonization journal August 1996
Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires journal February 2014
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
Interaction of magnetic field-dependent Peierls and spin-Peierls ground states in ( P e r ) 2 [Pt ( m n t ) 2 ] journal September 2011
Nuclear magnetism and electron order in interacting one-dimensional conductors journal October 2009
The ground-state phase diagram of the one-dimensional Kondo lattice model journal July 1997
Phase Diagram of the Anisotropic Kondo Chain journal May 2002
Chiral Spin Order in Kondo-Heisenberg Systems journal December 2017
Ferromagnetism of the one-dimensional Kondo-lattice model: A quantum Monte Carlo study journal February 1993
Spin-Peierls instability in Per 2 [M(mnt) 2 ] compounds probed by specific heat journal July 1993
Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction journal July 2010
Stability of the Kondo lattice in the large- N limit journal October 1984
Dimerization Induced by the RKKY Interaction journal June 2003
The Kondo lattice and weak antiferromagnetism journal July 1977
Magnetic and non-magnetic ground states of the Kondo lattice journal June 1991
Functional integral bosonization for an impurity in a Luttinger liquid journal April 2004
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
Phase diagram of the Kondo lattice model journal May 1993
Spin-liquid ground state of the half-filled Kondo lattice in one dimension journal August 1992
Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system journal March 2004
Conductance through a helical state in an Indium antimonide nanowire journal September 2017

Similar Records

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY