Correlated Hopf insulators
arXiv:2501.05376 · doi:10.1103/82cy-z84r
Abstract
Hopf insulators represent an exceptional class of topological matter unanticipated by the periodic table of topological invariants. These systems point to the existence of previously unexplored states of matter with unconventional topology. In this work, we take a step toward exploring this direction by investigating correlation-driven instabilities of Hopf insulators. Organizing our analysis around the topological quantum critical point that separates the Hopf insulating phase from a trivial insulator, we demonstrate the emergence of unconventional Weyl semimetallic and topological insulating states. Notably, the Weyl semimetal supports non-reciprocal superconductivity and a Bogoliubov-Fermi surface, potentially providing a novel framework for realizing the superconducting diode effect. Finally, we highlight the interconnectedness of the effective descriptions of correlated Hopf insulators, two-dimensional quadratic band-touching semimetals, and Luttinger semimetals.
arXiv comment13 pages, 11 figures
References in corpus (52)
- The electronic properties of graphene
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- New directions in the pursuit of Majorana fermions in solid state systems
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Search for Majorana fermions in superconductors
- Correlated quantum phenomena in the strong spin-orbit regime
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- Mott physics and band topology in materials with strong spin-orbit interaction
- Topological Kondo Insulators
- A new platform for topological quantum phenomena : Topological Insulator states in thermoelectric Heusler-related ternary compounds
- Topological Mott Insulators
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- Realization of the field-free Josephson Diode
- Theory of interacting electrons on the honeycomb lattice
- Zero-field superconducting diode effect in small-twist-angle trilayer graphene
- Many-body instability of Coulomb interacting bilayer graphene: RG approach
- Topological insulators and metal-insulator transition in the pyrochlore iridates
- Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
- Topological surface states in three-dimensional magnetic insulators
- Quadratic Fermi Node in a 3D Strongly Correlated Semimetal
- Observation of Unusual Topological Surface States in Half-Heusler Compounds LnPtBi (Ln=Lu, Y)
- Topological Semimetals carrying Arbitrary Hopf Numbers: Hopf-Link, Solomon's-Knot, Trefoil-Knot and Other Semimetals
- Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
- Topological nodal Cooper pairing in doped Weyl metals
- Simple derivation of general Fierz-type identities
- Hopf Insulators and Their Topologically Protected Surface States
- Weyl semimetals with short-range interactions
- Interacting line-node semimetal: Proximity effect and spontaneous symmetry breaking
- Hopf characterization of two-dimensional Floquet topological insulators
- Competing orders and topology in the global phase diagram of pyrochlore iridates
- Symmetry Protected Topological Hopf Insulator and its Generalizations
- Realization of a Hopf insulator in circuit systems
- Topological Hopf-Chern Insulators and the Hopf Superconductor
- Multicellularity of delicate topological insulators
- Instabilities of Weyl-loop semi-metals
- Floquet Hopf Insulators
- Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
- Bogoliubov-Fermi Surfaces in Noncentrosymmetric Multicomponent Superconductors
- Realizing Hopf Insulators in Dipolar Spin Systems
- Observation of topological links associated with Hopf insulators in a solid-state quantum simulator
- Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling
- Quantum Anomalous Hall Insulator Stabilized By Competing Interactions
- Floquet Engineering Ultracold Polar Molecules to Simulate Topological Insulators
- Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
- Massless multifold Hopf semimetals
- Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump
- Nonreciprocal superconductivity
- Interaction-driven quantum anomalous Hall insulator in Dirac semimetal
- Dipolar Weyl semimetals
- Berry-dipole Semimetals
- Ubiquitous nematic Dirac semimetal emerging from interacting quadratic band touching system
- Hopf Semimetals