Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices

Abstract

Topological Lifshitz phase transition characterizes an abrupt change of the topology of the Fermi surface through a continuous deformation of parameters. Recently, Lifshitz transition has been predicted to separate two types of Weyl points: type-I and type-II (or called structured Weyl points), which has attracted considerable attention in various fields. Although recent experimental investigation has seen a rapid progress on type-II Weyl points, it still remains a significant challenge to observe their characteristic Lifshitz transition. Here, we propose a scheme to realize both type-I and type-II Weyl points in three-dimensional ultracold atomic gases by introducing an experimentally feasible configuration based on current spin-orbit coupling technology. In the resultant Hamiltonian, we find three degenerate points: two Weyl points carrying a Chern number $-1$ and a four-fold degenerate point carrying a Chern number $2$. Remarkably, by continuous tuning of a convenient experimental knob, all these degenerate points can transition from type-I to type-II, thereby providing an ideal platform to study different types of Weyl points and directly probe their Lifshitz phase transition.

10 pages, 5 figures

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• Multiple types of topological fermions in transition metal silicides
• Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
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• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Non-Hermitian Absorption Spectroscopy
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• Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic semimetals
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
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• Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
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• Colloquium: Synthetic quantum matter in non-standard geometries
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• Realising Type II Weyl Points in an Optical Lattice
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Weyl Bogoliubov excitations in Bose-Hubbard extension of Weyl semimetal
• Electronic properties of strained double-Weyl systems
• Rashba and Weyl spin-orbit coupling in an optical lattice clock
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Quantum oscillations and weak anisotropic resistivity in the chiral Fermion semimetal PdGa
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Electronic correlations effect on nontrivial topological fermions in CoSi
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• Scheme to Equilibrate the Quantized Hall Response of Topological Systems from Coherent Dynamics
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• Topological optical Raman superlattices
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Robust Weyl points in a 1D superlattice with transverse spin-orbit coupling
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
• Dynamical Weyl Points and 4D Nodal Rings in Cold Atomic Gases
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals