Magnetic phases in the one-dimensional Kondo chain on a metallic surface

Abstract

We study the low-temperature properties of a one-dimensional spin-1/2 chain of magnetic impurities coupled to a (normal) metal environment by means of anisotropic Kondo exchange. In the case of easy-plane anisotropy, we obtain the phase diagram of this system at T=0. We show that the in-plane Kondo coupling destabilizes the Tomonaga-Luttinger phase of the spin-chain, and leads to two different phases: i) At strong Kondo coupling, the spins in the chain form Kondo singlets and become screened by the metallic environment, and ii) At weak and intermediate Kondo coupling, we find a novel dissipative phase characterized by diffusive gapless spin excitations. The two phases are separated by a quantum critical point of the Wilson-Fisher universality class with dynamical exponent $z\simeq 2$.

15 pages, 3 figures. New version contains clarifications about the specific approximations. Accepted for publication in PRB

References in corpus (30)

• Bosonization and Strongly Correlated Systems
• Heavy Fermions and Quantum Phase Transitions
• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Exchange interaction between single magnetic adatoms
• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
• Exact Results for 1D Kondo Lattice from Bosonization
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• Quantum Superconductor-Metal Transition in a 2D Proximity-Coupled Array
• Spin Gap in a Doped Kondo Chain
• Dissipative Quantum Ising model in a cold atomic spin-boson mixture
• Non-Fermi liquid behavior from two-dimensional antiferromagnetic fluctuations: a renormalization-group and large-N analysis
• Interplay between Symmetric Exchange Anisotropy, Uniform Dzyaloshinskii-Moriya Interaction and Magnetic Fields in the Phase Diagram of Quantum Magnets and Superconductors
• Superconductor-to-Metal Transitions in Dissipative Chains of Mesoscopic Grains and Nanowires
• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Open Luttinger liquids
• Quantum spin chains with site dissipation
• Staggered liquid phases of the 1D Kondo-Heisenberg lattice model
• One-dimensional electron gas interacting with a Heisenberg spin-1/2 chain
• Toulouse Points and Non-Fermi Liquid States in the Mixed Valence Regime of the Generalized Anderson Model
• Dissipation-driven quantum phase transition in superconductor-graphene systems
• Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
• Impurity correlations in dilute Kondo alloys
• Dissipation-induced phase transitions in superconducting wires
• Dissipation-driven superconductor-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films
• Phase diagram of the anisotropic Kondo chain
• Long-range order in quasi-one-dimensional conductors
• Quantum Phase Transitions in Dissipative Tunnel Junctions
• Dissipative phase-fluctuations in superconducting wires capacitively coupled to diffusive metals
• Dissipate locally, couple globally: a sharp transition from decoupling to infinite range coupling in Josephson arrays with on-site dissipation

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• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Emergent Charge Fluctuations at the Kondo Breakdown of Heavy Fermions
• Dissipation-Induced Order: The $S=1/2$ Quantum Spin Chain Coupled to an Ohmic Bath
• Emergent Coherent Lattice Behavior in Kondo Nanosystems
• Kondo breakdown in a spin-1/2 chain of adatoms on a Dirac semimetal
• Spectral evolution of the SU(4) Kondo effect from the single impurity to the two-dimensional lattice
• Spin chain on a metallic surface: Dissipation-induced order vs. Kondo entanglement
• Screening mechanisms in magnetic nanostructures
• Valence fluctuations in a lattice of magnetic molecules: application to iron(II) phtalocyanine molecules on Au(111)
• Transverse Quantum Fluids
• Bath induced phase transition in a Luttinger liquid
• Critical phase induced by Berry phase and dissipation in a spin chain
• Long-Range Order and Quantum Criticality in a Dissipative Spin Chain
• Easy-axis ferromagnetic chain on a metallic surface
• Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces