Topological metal bands with double-triple-point fermions in optical lattices
arXiv:1810.11560 · doi:10.1103/PhysRevA.98.053619
Abstract
Novel fermionic quasiparticles with integer pseudospins in some energy bands, such as pseudospin-1 triple-point fermions, recently attract increasing interest since they are beyond the conventional spin- Dirac and Weyl counterparts. In this paper, we propose a class of pseudospin-1 fermioic excitations emerging in topological metal bands, dubbed double-triple-point (DTP) fermions. We first present a general three-band continuum model with symmetry in three dimensions, which has three types of threefold degenerate points in the bands classified by their topological charges , respectively. They are dubbed DTPs as spin-1 generalization of double-Weyl points. We then construct two-dimensional and three-dimensional tight-binding lattice models of topological metal bands with exotic DTP fermions near the DTPs. In two dimensions, the band gaps close at a trivial DTP with zero Berry phase, which occurs at the transition between the normal and topological insulator phases. In three dimensions, the topological properties of three different DTP fermions in lattice systems are further investigated, and the effects of breaking symmetry are also studied, which generally leads to splitting each quadratic DTP into two linear triple points and gives topological phase diagrams. Using ultracold fermionic atoms in optical lattices, the proposed models can be realized and the topological properties of the DTP fermions can be detected.
arXiv comment11 pages, 9 figures; accepted in PRA
References in corpus (79)
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Maximally localized Wannier functions: Theory and applications
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Weyl Semimetal in a Topological Insulator Multilayer
- Experimental realisation of the topological Haldane model
- Artificial gauge potentials for neutral atoms
- Experimental discovery of Weyl semimetal TaAs
- Topological nodal semimetals
- Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Light-induced gauge fields for ultracold atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Spin-orbit coupling in quantum gases
- Topological Bands for Ultracold Atoms
- Topological response in Weyl semimetals and the chiral anomaly
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Topological Thouless Pumping of Ultracold Fermions
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Multiple types of topological fermions in transition metal silicides
- Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
- A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
- Experimental Observation of Three-Component 'New Fermions' in Topological Semimetal MoP
- Double Dirac Semimetals in Three Dimensions
- Triple Point Topological Metals
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
- Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
- Topological charge pumping in a one-dimensional optical lattice
- Seeing topological order in time-of-flight measurements
- Topological semimetals with Riemann surface states
- Bloch state tomography using Wilson lines
- Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
- Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
- Tomography of band insulators from quench dynamics
- Bloch-Zener oscillations across a merging transition of Dirac points
- Topological Maxwell Metal Bands in a Superconducting Qutrit
- Three-component fermions with surface Fermi arcs in topological semimetal tungsten carbide
- Geometrical pumping with a Bose-Einstein condensate
- Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
- Tunable topological Weyl semimetal from simple cubic lattices with staggered fluxes
- Electric polarization in a Chern insulator
- Direct measurement of topological invariants in optical lattices
- Topological insulator and particle pumping in a one-dimensional shaken optical lattice
- Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices
- Anisotropic Weyl Fermions from Quasiparticle Excitation Spectrum of a 3D Fulde-Ferrell Superfluid
- Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
- Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
- Constructing a Weyl semimetal by stacking one dimensional topological phases
- Topological Triply Degenerate Points Induced by Spin-Tensor-Momentum Couplings
- Triple point fermions in a minimal symmorphic model
- Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations
- Rarita-Schwinger-Weyl semimetal in Jeff=3/2 electron systems
- Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
- Unconventional quantum Hall effects in two-dimensional massive spin-1 fermion systems
- Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice
- The Realization and Dectection of Weyl Semimetals and Chiral Anomaly in Cold Atomic Systems
- Direct Probe of Topological Order for Cold Atoms
- Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
- Weyl Superfluidity in a Three-dimensional Dipolar Fermi Gas
- Geometrically protected triple-point crossings in an optical lattice
- Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms
- Dynamics of Weyl quasiparticles emerged in an optical lattice
- Exploring topological double-Weyl semimetals with cold atoms in optical lattices
- Simulation and measurement of the fractional particle number in one-dimensional optical lattices
- Spin-1 Topological Monopoles in Parameter Space of Ultracold Atoms
- Tunable Weyl Semi-metal and its Possible Realization in Optical Lattice
- Realising Type II Weyl Points in an Optical Lattice
Cited by in corpus (10)
- Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
- Generalized Triple-Component Fermions: Lattice Model, Fermi arcs, and Anomalous Transport
- symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
- Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
- Observation of spin-tensor induced topological phase transitions of triply degenerate points with a trapped ion
- Unpaired topological triply degenerate point for spin-tensor-momentum-coupled ultracold atoms
- Spin-tensor Meissner currents of ultracold bosonic gas in an optical lattice
- Parallel and anti-parallel helical surface states for topological semimetals
- Synthetic spin-orbit coupling for the multispin models in optical lattices
- Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system