Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal

Abstract

We investigate the periodic Anderson model composed of an itinerant $c$-band and a strongly localized $f$-band, featuring on-site electron-electron interactions in the $f$-orbitals. The two bands interact via a hybridization term with spin-orbit coupling, which enables spin-flip processes. In the non-interacting limit, these profoundly alter the electronic structure, leading to the emergence of flat bands, van Hove singularities, and, most notably, Dirac cones within a single Kondo-Dirac semimetal order. The strongly interacting regime is explored via the determinant quantum Monte Carlo method, in the absence of the sign problem, where we unveil a complete ground-state phase diagram revealing two distinct phases, the Kondo-Dirac semimetal phase and a novel antiferromagnetic semimetal phase. Their characterization by the spectral functions establishes an orbital-selective Mott transition in the antiferromagnetic semimetal phase, marked by the opening of a gap exclusively in the $f$-orbital while Dirac cones persist in the $c$-orbital. Conversely, in the Kondo-Dirac semimetal phase, both $c$- and $f$-orbitals sustain robust Dirac cones. We establish that spin-orbit coupling in the hybridization term gives rise to Dirac cones, which, combined with additional symmetry-breaking conditions, can generate novel topological states.

References in corpus (49)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Intrinsic magnetic topological insulators in van der Waals layered MnBi${}_2$Te${}_4$-family materials
• Topological Kondo Insulators
• Superconducting phases of f-electron compounds
• Computational Studies of Quantum Spin Systems
• Surface electronic structure of the topological Kondo insulator candidate correlated electron system SmB6
• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• A theory of Topological Kondo Insulators
• Direct observation of the spin texture in strongly correlated SmB6 as evidence of the topological Kondo insulator
• Quantum Hall effect in a bulk antiferromagnet EuMnBi${}_2$ with magnetically confined two-dimensional Dirac fermions
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Topological Crystalline Kondo Insulator in Mixed Valence Ytterbium Borides
• Weyl-Kondo Semimetal in Heavy Fermion Systems
• Competing magnetic interactions in the antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal
• The role of electron-electron interactions in two-dimensional Dirac fermions
• Kondo Insulator to Semimetal Transformation Tuned by Spin-Orbit Coupling
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• Spin nematics, valence-bond solids and spin liquids in SO($N$) quantum spin models on the triangular lattice
• Topological invariants, surface states, and interaction-driven phase transitions in correlated Kondo insulators with cubic symmetry
• Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models
• Itinerant quantum critical point with frustration and non-Fermi-liquid
• Dynamics and scaling in the periodic Anderson model
• Dirac electrons in the square lattice Hubbard model with a $d$-wave pairing field: chiral Heisenberg universality class revisited
• Intrinsic Spin and Orbital Hall Effects in Heavy Fermion Systems
• Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures
• Universality and Critical Exponents of the Fermion Sign Problem
• Alleviating the Sign Problem in Quantum Monte Carlo Simulations of Spin-Orbit-Coupled Multi-Orbital Hubbard Models
• Effects of an Additional Conduction Band on Singlet-Antiferromagnet Competition in the Periodic Anderson Model
• Compressible Ferrimagnetism in the depleted Periodic Anderson Model
• The Pairing of Spin-orbit Coupled Fermi Gas in Optical Lattice
• Mitigating the fermion sign problem by automatic differentiation
• Periodic Anderson model with correlated conduction electrons: variational and exact diagonalization study
• Nature of the unconventional heavy fermion Kondo state in monolayer CeSiI
• Impact of the Rashba Spin Orbit Coupling on $f$-electron Materials
• Coherence Temperature in the Diluted Periodic Anderson Model
• Determinant Quantum Monte Carlo Study of Exhaustion in the Periodic Anderson Model
• Topology and Magnetism in the Kondo Insulator Phase Diagram
• Charge excitations across a superconductor-insulator transition
• Hexagon Ising-Kondo lattice: An implication for intrinsic antiferromagnetic topological insulator
• Breakdown of bulk-projected isotropy in surface electronic states of topological Kondo insulator SmB${}_6$(001)
• The extended Hubbard model on a honeycomb lattice
• Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model
• Many-body Chern insulator in the Kondo lattice model on a triangular lattice
• Magnetic phases of the periodic Anderson model in two dimensions