Many-body Chern insulator in the Kondo lattice model on a triangular lattice
arXiv:2310.07094 · doi:10.1103/PhysRevB.109.245114
Abstract
The realization of topological insulators induced by correlation effects is one of the main issues of modern condensed matter physics. An intriguing example of the correlated topological insulators is a magnetic Chern insulator induced by a noncoplanar multiple-Q magnetic order. Although the realization of the magnetic Chern insulator has been studied in the classical limit of the Kondo lattice model, research on the magnetic Chern insulator in the original Kondo lattice model is limited. Here, we investigate the possibility of the many-body Chern insulator with the noncoplanar triple-Q magnetic order in the Kondo lattice model on a triangular lattice. Using the many-variable variational Monte Carlo method, we reveal that the triple-Q magnetic order becomes a ground state at quarter filling in an intermediate Kondo coupling region. We also show that the many-body Chern number is quantized to one in the triple-Q magnetic ordered phase utilizing the polarization operators. Our results provide a pathway for the realization of the many-body Chern insulator in correlated electron systems.
arXiv comment7 pages, 5 figures
References in corpus (39)
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBiTe
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Quantum Criticality in Heavy Fermion Metals
- Quantum Anomalous Hall Effect in HgMnTe Quantum Wells
- The Quantum-Mechanical Position Operator in Extended Systems
- Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
- Heavy Fermions and Quantum Phase Transitions
- Progress and prospects in magnetic topological materials
- Scalar spin chirality and quantum Hall effect on a triangular lattice
- Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
- Hidden Multiple-spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
- Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
- Quantum Monte Carlo simulations of the half-filled two-dimensional Kondo lattice model
- Spontaneous topological Hall effect induced by non-coplanar antiferromagnetic order in intercalated van der Waals materials
- Spin and charge dynamics of the ferromagnetic and antiferromagnetic two-dimensional half-filled Kondo lattice model
- Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
- mVMC - Open-source software for many-variable variational Monte Carlo method
- Electric polarization in a Chern insulator
- Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
- Tetrahedral triple-Q magnetic ordering and large spontaneous Hall conductivity in the metallic triangular antiferromagnet Co1/3TaS2
- Partial Kondo screening in frustrated Kondo lattice systems
- Many-body Chern number without integration
- Inequivalent Berry phases for the bulk polarization
- Unconventional Superconductivity from Local Spin Fluctuations in the Kondo Lattice
- The Kondo Lattice Model in Infinite Dimensions II. Static Susceptibilities and Phase Diagram
- Extraction of many-body Chern number from a single wave function
- Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models
- Topological superconductivity in Kondo-Kitaev model
- Topological superconductivity induced by a triple-Q magnetic structure
- Competing d-Wave and p-Wave Spin-Singlet Superconductivities in the Two-Dimensional Kondo Lattice
- Charge Order in a Two-Dimensional Kondo Lattice Model
- Charge order in Kondo lattice systems
- Many-Body Invariants for Chern and Chiral Hinge Insulators
- Topological Bootstrap: Fractionalization From Kondo Coupling
- Skyrmion and vortex crystals in the Hubbard model
- Variational Monte Carlo Method in the Presence of Spin-Orbit Interaction and Its Application to the Kitaev and Kitaev-Heisenberg Model
- Effect of Quantum Spin Fluctuation on Scalar Chiral Ordering in the Kondo Lattice Model on a Triangular Lattice