Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces

Abstract

Motivated by recent scanning tunneling microscopy experiments on chains of Co adatoms on Cu surfaces, we investigate the physics of a spin-$3/2$ Heisenberg chain with single-ion anisotropy ($D$) on metallic and semi-metallic surfaces. In the strong Kondo coupling ($J_k$) limit, a perturbative analysis maps the system onto a Haldane spin-1 chain with single-ion anisotropy, ferromagnetically coupled to the metallic surface. This Haldane state, arising from underscreening of the $S=3/2$ chain, is stable against small $D$ and characterized by topological edge modes. The nature of the $D$-driven transitions out of this state depends on the environment. Coupling to a metal (semi-metal) is a relevant (irrelevant) perturbation at the decoupled fixed point between the spin-1 chain and the two-dimensional electron gas. In the large positive $D$ limit, the system maps onto an anisotropic spin-$1/2$ Kondo system. For large negative $D$, in the Ising phase, spins are frozen. For small $J_k$, the nature of the metallic phase dominates. On a two-dimensional semi-metal, the Kondo coupling is irrelevant at the decoupled fixed point ($J_k=0$), leading to a Kondo breakdown phase at weak coupling, irrespective of $D$. In contrast, on a two-dimensional metal, the resulting dissipative Ohmic bath is a marginally relevant perturbation, inducing antiferromagnetic ordering along the chain. In this case, $D$ drives a spin-flop transition between Ising and XY ordered phases. At $D=0$, we observe continuous transitions between the Kondo breakdown or dissipation-induced long-range ordered phases and the underscreened Haldane phase. These phase diagrams are supported by scaling arguments and sign-free auxiliary-field quantum Monte Carlo simulations.

21 pages, 27 figures

References in corpus (23)

• Fractionalized Fermi liquids
• Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
• Orbital-selective Mott transitions: Heavy fermions and beyond
• Properties of anisotropic magnetic impurities on surfaces
• Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy
• Splitting of the Kondo resonance in anisotropic magnetic impurities on surfaces
• Many-particle effects in adsorbed magnetic atoms with easy-axis anisotropy: the case of Fe on CuN/Cu(100) surface
• Shot noise in a strange metal
• Coherence and metamagnetism in the two-dimensional Kondo lattice model
• Dissipation-Induced Order: The $S=1/2$ Quantum Spin Chain Coupled to an Ohmic Bath
• Zooming in on heavy fermions in Kondo lattice models
• Kondo breakdown in a spin-1/2 chain of adatoms on a Dirac semimetal
• Floating, critical and dimerized phases in a frustrated spin-3/2 chain
• A new view on the origin of zero-bias anomalies of Co atoms atop noble metal surfaces
• Spin chain on a metallic surface: Dissipation-induced order vs. Kondo entanglement
• Logarithmic delocalization of end spins in the S=3/2 antiferromagnetic Heisenberg chain
• Spin-resolved spectroscopic evidence for spinarons in Co adatoms
• Artificially built Kondo chains with organic radicals on metallic surfaces: new model system of heavy fermion quantum criticality
• Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study
• Magnetic quantum phase transition in a metallic Kondo heterostructure
• Marginal Fermi liquid at magnetic quantum criticality from dimensional confinement
• Electric and Magnetic Properties of Higher-Spin Kondo-Heisenberg Models at Strong Coupling
• Phase diagram of the SU($N$) antiferromagnet of spin $S$ on a square lattice