Weyl Bogoliubov excitations in Bose-Hubbard extension of Weyl semimetal

Abstract

In this paper, a Bose-Hubbard extension of a Weyl semimetal is proposed that can be realized for ultracold atoms using laser assisted tunneling and Feshbach resonance technique in three dimensional optical lattices. The global phase diagram is obtained consisting of a superfluid phase and various Mott insulator phases by using Landau theory. The Bogoliubov excitation modes for the weakly interacting case have nontrivial properties (Weyl nodes, bosonic surface arc, etc.) analogs of those in Weyl semimetals of electronic systems, which are smoothly carried over to that of Bloch bands for the noninteracting case. The properties of the insulating phases for the strongly interacting case are explored by calculating both the quasiparticle and quasihole dispersion relation, which shows two quasiparticle spectra touch at Weyl nodes.

arXiv comment10 pages, 4 figures

References in corpus (32)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Quantum fluids of light
• Artificial gauge potentials for neutral atoms
• Experimental discovery of Weyl semimetal TaAs
• Light-induced gauge fields for ultracold atoms
• Observation of Weyl nodes in TaAs
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Weyl points and line nodes in gapless gyroid photonic crystals
• Quantum phases in an optical lattice
• Topological chiral magnonic edge mode in a magnonic crystal
• Topological phonon modes and their role in dynamic instability of microtubules
• Topological Polaritons
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Weyl magnons in breathing pyrochlore antiferromagnets
• Momentum-Resolved Bragg Spectroscopy in Optical Lattices
• Chiral spin-wave edge modes in dipolar magnetic thin films
• Topological Polaritons and Excitons in Garden Variety Systems
• Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
• Topological quantum fluctuations and travelling wave amplifiers
• Topological phase transitions and chiral inelastic transport induced by the squeezing of light
• Topological Insulators and Metals in Atomic Optical Lattices
• Topological Bogoliubov excitations in inversion-symmetric systems of interacting bosons
• Artificial Staggered Magnetic Field for Ultracold Atoms in Optical Lattices
• Hybrid Weyl Semimetal
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• π-flux Dirac bosons and topological edge excitations in a bosonic chiral p-wave superfluid
• Quantum Phases of Bose-Hubbard Model in Optical Superlattices
• Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators

Cited by in corpus (7)

• Topological quantum matter with cold atoms
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Topological edge states for disordered bosonic systems
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice