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

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• Exchange interaction between single magnetic adatoms
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• Dissipative Quantum Ising model in a cold atomic spin-boson mixture
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• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
• Dissipation-driven quantum phase transition in superconductor-graphene systems
• Dissipation-induced phase transitions in superconducting wires
• Dissipation-driven superconductor-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films
• Long-range order in quasi-one-dimensional conductors
• Dissipative phase-fluctuations in superconducting wires capacitively coupled to diffusive metals

Cited by in corpus (17)

• Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states
• Model for Ferromagnetic Quantum Critical Point in a 1D Kondo Lattice
• 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