Geometric semimetals and their simulation in synthetic matter
arXiv:2309.06442 · doi:10.1103/PhysRevB.109.L201107
Abstract
Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying symmetries, emergent relativistic dispersion, and band topology. In this Letter, we present a different class of gapless systems in three dimensions, dubbed . These semimetals are protected by the generalized chiral and rotation symmetries, but are topologically trivial. Nevertheless, we show that their band geometry is nontrivial, as evidenced by the nonzero quantum metric trace with possible quantization. The possible realization in synthetic-matter experiments is also discussed.
arXiv comment8+2 pages, 2 figures. v3: Published version
References in corpus (90)
- Maximally-localized generalized Wannier functions for composite energy bands
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Classification of topological quantum matter with symmetries
- Dirac semimetal in three dimensions
- Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Topological nodal line semimetals with and without spin-orbital coupling
- Superfluidity in topologically nontrivial flat bands
- Multiple types of topological fermions in transition metal silicides
- Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
- Discovery of topological chiral crystals with helicoid arc states
- New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
- Double Dirac Semimetals in Three Dimensions
- Nodal surface semimetals: Theory and material realization
- Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe (X=Mo,W)
- Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
- Band geometry of fractional topological insulators
- Node-Surface and Node-Line Fermions From Nonsymmorphic Lattice Symmetries
- Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
- Semimetal and Topological Insulator in Perovskite Iridates
- Band Topology and Linking Structure of Nodal Line Semimetals with Z2 Monopole Charges
- Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
- Non-Fermi liquid and topological states with strong spin-orbit coupling
- 3D massless Kane fermions observed in a zinc-blende crystal
- Robust zero-energy modes in an electronic higher-order topological insulator: the dimerized Kagome lattice
- From dia- to paramagnetic orbital susceptibility of Dirac cones
- Low-frequency divergence and quantum geometry of the bulk photovoltaic effect in topological semimetals
- Exact Landau Level Description of Geometry and Interaction in a Flatband
- Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems
- Chiral Optical Response of Multifold Fermions
- Existence of bulk chiral fermions and crystal symmetry
- Non-Abelian reciprocal braiding of Weyl points and its manifestation in
- Quadratic Fermi Node in a 3D Strongly Correlated Semimetal
- Topological Euler class as a dynamical observable in optical lattices
- Observation of a non-Abelian Yang Monopole: From New Chern Numbers to a Topological Transition
- Measuring quantized circular dichroism in ultracold topological matter
- Classifying and measuring the geometry of the quantum ground state manifold
- Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
- Relations between topology and the quantum metric for Chern insulators
- Geometric orbital susceptibility: quantum metric without Berry curvature
- Consequences of Time-reversal-symmetry Breaking in the Light-Matter Interaction: Berry Curvature, Quantum Metric and Diabatic Motion
- Observation and control of maximal Chern numbers in a chiral topological semimetal
- Symmetric Real Dirac Fermions and Semimetals
- Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators
- Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
- Extracting the quantum metric tensor through periodic driving
- Abelian and Non-Abelian Quantum Geometric Tensor
- Superfluid weight bounds from symmetry and quantum geometry in flat bands
- Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
- How to Measure the Quantum Geometry of Bloch Bands
- Experimental measurement of the quantum geometric tensor using coupled qubits in diamond
- Kähler geometry and Chern insulators: Relations between topology and the quantum metric
- Band structure engineering of ideal fractional Chern insulators
- Weyl and Dirac semimetals with Z_2 topological charge
- Revealing tensor monopoles through quantum-metric measurements
- Effective Theory of Non-Adiabatic Quantum Evolution Based on the Quantum Geometric Tensor
- Minimal conductivity, topological Berry winding and duality in three-band semimetals
- Topological charges of three-dimensional Dirac semimetals with rotation symmetry
- Origin of Model Fractional Chern Insulators in All Topological Ideal Flatbands: Explicit Color-entangled Wavefunction and Exact Density Algebra
- Berry Curvature and Quantum Metric in -band systems -- an Eigenprojector Approach
- Fluctuations, uncertainty relations, and the geometry of quantum state manifolds
- Quasi-symmetry protected topology in a semi-metal
- Quantum Metric Induced Phases in Moiré Materials
- Weyl nodal surfaces
- Topology-induced phase transitions in quantum spin Hall lattices
- Intrinsic anomalous Hall conductivity in a nonuniform electric field
- Observation of multiple types of topological fermions in PdBiSe
- Nontrivial quantum geometry of degenerate flat bands
- Quantum-metric-enabled exciton condensate in double twisted bilayer graphene
- Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals
- Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
- New quantum critical points of Dirac electrons in antiperovskite topological crystalline insulators
- Fidelity susceptibility near topological phase transitions in quantum walks
- Local theory of the insulating state
- Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric
- Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
- Dual Haldane sphere and quantized band geometry in chiral multifold fermions
- Non-Abelian tensor Berry connections in multi-band topological systems
- Flat band superconductivity in a system with a tunable quantum metric : the stub lattice
- Beyond the Berry Phase: Extrinsic Geometry of Quantum States
- Massless multifold Hopf semimetals
- Hierarchy of quasi-symmetries and degeneracies in chiral crystal materials CoSi
- Computing observables without eigenstates: applications to Bloch Hamiltonians
- Nonlinear photoconductivities and quantum geometry of chiral multifold fermions
- Interplay of Band Geometry and Topology in Ideal Chern Insulators in Presence of External Electromagnetic Fields
- Landau quantization of multilayer graphene on a Haldane sphere
- Band geometry from position-momentum duality at topological band crossings
- Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
- Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems