Berry-dipole Semimetals

Abstract

We introduce ''Berry-dipole semimetals'', whose band degeneracies are characterized by quantized Berry dipoles. Through a two-band model constructed by Hopf map, we reveal that the Berry-dipole semimetals display a multitude of salient properties distinct from other topological semimetals. On the boundary, we find that the first-order Berry-dipole semimetal harbors anomalous paired Fermi arcs with the same spin polarization, even though the layer Chern number is zero, and the second-order Berry-dipole semimetal hosts dispersionless hinge arcs. In the bulk, we find that the low-energy Berry-dipole Hamiltonian near the band node has a quadratic energy dispersion and peculiar Berry curvature, which give rise to rather unique characteristics in the intrinsic anomalous Hall effect, orbital magnetization and Landau levels. Our study shows that Berry-dipole semimetals are a class of topological gapless phases supporting rich intriguing physics.

7+12 pages, 7 figures

References in corpus (29)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Topological response in Weyl semimetals and the chiral anomaly
• Topological Semimetals
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Axion Electrodynamics in Topological Materials
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Higher-Order Weyl Semimetals
• Topological surface states in three-dimensional magnetic insulators
• Higher-order topological semimetal in acoustic crystals
• Higher-order Weyl Semimetals
• Observation of a phononic higher-order Weyl semimetal
• Realization of a Hopf insulator in circuit systems
• Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit
• Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
• Teleportation of Berry curvature on the surface of a Hopf insulator
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Massless multifold Hopf semimetals
• ${\mathbb{Z}}_2$ Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Quantized surface magnetism and higher-order topology: Application to the Hopf insulator
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Real Hopf Insulator
• Dipolar Weyl semimetals
• Unconventional Topological Insulators from Extended Topological Band Degeneracies
• The $Z_2$ Classification of Dimensional Reduced Hopf Insulators

Cited by in corpus (1)

• Correlated Hopf insulators