Dirac and Weyl Rings in Three Dimensional Cold Atom Optical Lattices

Abstract

Recently three dimensional topological quantum materials with gapless energy spectra have attracted considerable interests in many branches of physics. Besides the celebrated example, Dirac and Weyl points which possess gapless point structures in the underlying energy dispersion, the topologically protected gapless spectrum can also occur along a ring, named Dirac and Weyl nodal rings. Ultra-cold atomic gases provide an ideal platform for exploring new topological materials with designed symmetries. However, whether Dirac and Weyl rings can exist in the single-particle spectrum of cold atoms remains elusive. Here we propose a realistic model for realizing Dirac and Weyl rings in the single-particle band dispersion of a cold atom optical lattice. Our scheme is based on previously experimentally already implemented Raman coupling setup for realizing spin-orbit coupling. Without the Zeeman field, the model preserves both pseudo-time-reversal and inversion symmetries, allowing Dirac rings. The Dirac rings split into Weyl rings with a Zeeman field that breaks the pseudo-time-reversal symmetry. We examine the superfluidity of attractive Fermi gases in this model and also find Dirac and Weyl rings in the quasiparticle spectrum.

10 pages, 5 figures, including supplementary materials

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• Observation of nodal-line semimetal with ultracold fermions in an optical lattice
• Topological protection from exceptional points in Weyl and nodal line semimetals
• Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
• Pseudospin Vortex Ring with a Nodal Line in Three Dimensions
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Symmetry protected topological phases characterized by isolated exceptional points
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Almost ideal nodal-loop semimetal in monoclinic CuTeO${}_3$ material
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Dynamics of Weyl quasiparticles emerged in an optical lattice
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
• Majorana zero modes in spintronics devices
• Time-reversal-broken Weyl semimetal in the Hofstadter regime
• Topological nodal chains in optical lattices
• Electronic properties of strained double-Weyl systems
• Superconductivity and a van Hove singularity confined to the surface of a topological semimetal
• Scheme to Equilibrate the Quantized Hall Response of Topological Systems from Coherent Dynamics
• Topological optical Raman superlattices
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice
• Dynamical Weyl Points and 4D Nodal Rings in Cold Atomic Gases