First and Second Order Topological Phases on Ferromagnetic Breathing Kagome Lattice

Abstract

In this work, topological properties of a ferromagnetic Heisenberg model on a breathing kagome lattice are investigated extensively in the presence of Dzyaloshinskii-Moriya interaction. While the kagome ferromagnet hosts only a single first order topological phase, the breathing kagome system exhibits multiple first and second order topological phases along with their coexistence. Magnon dispersion relation is obtained by using linear spin wave theory. Flat band and Dirac cones are obtained in the absence of Dzyaloshinskii-Moriya interaction. A topological phase diagram is presented where several first and second order phases as well as their overlap are identified. Values of thermal Hall conductivity for all the first order phases are obtained. Distinct first order phases are characterized by different sets of Chern numbers in association with the necessary chiral edge states in accordance to the first order bulk-boundary-correspondence rule. Second order phase is characterized by polarization along with the emergence of corner states. Violation of the second order bulk-corner-correspondence rule has been noted in some regions.

9 pages, 8 figures

References in corpus (36)

• Topological Insulators
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Acoustic higher-order topological insulator on a Kagome lattice
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Observation of the Magnon Hall Effect
• Theory of Thermal Hall Effect in Quantum Magnets
• Direct observation of corner states in second-order topological photonic crystal slabs
• Second-order photonic topological insulator with corner states
• Second-Order Topological Phases in Non-Hermitian Systems
• Corner states of light in photonic waveguides
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Topological Magnon Insulator in Insulating Ferromagnet
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• The thermal Hall effect of spin excitations in a Kagome magnet
• Topological classification with additional symmetries from Clifford algebras
• Higher-order topological electric circuits and topological corner resonance on the breathing Kagome and pyrochlore lattices
• Boundary Green functions of topological insulators and superconductors
• Topological states on the breathing kagome lattice
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Higher-order Topological Mott Insulators
• Generating a second-order topological insulator with multiple corner states by periodic driving
• ${\mathbb{Z}}_Q$ Berry Phase for Higher-Order Symmetry-Protected Topological Phases
• Higher-order topological solitonic insulators
• Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• A Dirac fermion model associated with second order topological insulator

Cited by in corpus (25)

• Quantum states and intertwining phases in kagome materials
• Topological insulators and semimetals in classical magnetic systems
• Interaction-stabilized topological magnon insulator in ferromagnets
• Magnonic Quadrupole Topological Insulator in Antiskyrmion Crystals
• Topological Phases in Magnonics
• Chiral Hinge Magnons in Second-Order Topological Magnon Insulators
• A Higher-Order Topological Insulator Phase in a Modulated Haldane Model
• Second-order topological insulator in breathing square lattice of magnetic vortices
• Skyrmion Based Magnonic Crystals
• Magnon corner states in twisted bilayer honeycomb magnets
• Higher-order Topological Phases of Magnons in van der Waals Honeycomb Ferromagnets
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Magnon hybridization in ferrimagnetic heterostructures
• Third-order topological insulator in three-dimensional lattice of magnetic vortices
• Higher-order Topological States in Chiral Split Magnons of Honeycomb Altermagnets
• Higher-order topology in twisted multilayer systems: a review
• Higher-order topology and corner triplon excitations in two-dimensional quantum spin-dimer models
• Quantum phases of spin-1/2 extended XY model in transverse magnetic field
• Magnetic Moiré Systems: a review
• Multiple topological corner states in the continuum of extended kagome lattice
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement
• Nonlinearity-induced corner states in a kagome lattice
• Higher-order topological quantum paramagnets
• Topological phases of monolayer and bilayer depleted Lieb lattices