Quantum oscillation in Hopf-link semimetals
arXiv:2412.07122 · doi:10.1103/PhysRevB.111.L201103
Abstract
Since the discovery of the relation between the Chern number and quantum Hall effect, searching for observables of topological invariants has been an intriguing topic. Topological Hopf-link semimetals have attracted tremendous interest, in which the conduction and valence energy bands touch at linked nodal lines. However, it is challenging to identify this sophisticated topology. We propose to use the quantum oscillation in strong magnetic fields to probe the Hopf links. For a generic model of Hopf-link semimetal that captures the linked-trivial phase transition, we figure out the phase shifts of oscillation for all Fermi pockets in all magnetic-field directions, by presenting self-consistent results from the Fermi surface tomography, Landau fan diagram, and electrical resistivity. As the magnetic field is rotated, the phase shifts exhibit a unique pattern, which could help to identify Hopf links in real materials, such as those in LiNaN.
6 pages, 3 figures, 2 tables
References in corpus (38)
- Quantum Spin Hall Effect in Graphene
- Berry Phase Effects on Electronic Properties
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Wannier90 as a community code: new features and applications
- Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
- Topological nodal-line fermions in ZrSiSe and ZrSiTe
- Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
- Large nonsaturating magnetoresistance and signature of non-degenerate Dirac nodes in ZrSiS
- Nodal-link semimetals
- Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
- Topological semimetals with double-helix nodal link
- Topological surface states in three-dimensional magnetic insulators
- Large linear magnetoresistance in the Dirac semimetal TlBiSSe
- High performance Wannier interpolation of Berry curvature and related quantities: WannierBerri code
- Nearly massless Dirac fermions and strong Zeeman splitting in the nodal-line semimetal ZrSiS probed by de Haas--van Alphen quantum oscillations
- Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space
- Observation of Weyl point pair annihilation in a gyromagnetic photonic crystal
- Topological Semimetals carrying Arbitrary Hopf Numbers: Hopf-Link, Solomon's-Knot, Trefoil-Knot and Other Semimetals
- Anisotropic Fermi Surface and Quantum Limit Transport in High Mobility 3D Dirac Semimetal Cd3As2
- Three-dimensional Pentagon Carbon with a genesis of emergent fermions
- Anomalous Phase Shift of Quantum Oscillations in 3D Topological Semimetals
- Extremely large and significantly anisotropic magnetoresistance in ZrSiS single crystals
- Rules for Phase Shifts of Quantum Oscillations in Topological Nodal-line Semimetals
- AIII and BDI Topological Systems at Strong Disorder
- Hopf Insulators and Their Topologically Protected Surface States
- Quantum oscillation studies of topological semimetal candidate ZrGeM (M=S, Se, Te)
- Unusual magneto-transport from Si-square nets in topological semimetal HfSiS
- Hopf-link multi-Weyl-loop topological semimetals
- Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
- Symmetry Protected Topological Hopf Insulator and its Generalizations
- From triple-point materials to multiband nodal links
- What's knot to like? Observation of a linked loop quantum state
- Measuring Hopf links and Hopf invariants in a quenched topological Raman lattice
- Probing Fermi sea topology by Andreev state transport
- Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
- Demonstration of Hopf-link semimetal bands with superconducting circuits
- Quantized Hall conductance in 3D topological nodal-line semimetals without chiral symmetry