Floquet-Bloch Oscillations and Intraband Zener Tunneling in an Oblique Spacetime Crystal
arXiv:2011.00421 · doi:10.1103/PhysRevLett.127.036401
Abstract
We investigate an oblique spacetime crystal realized by a monoatomic crystal in which a mode of sound propagates. We provide a systematic analysis of the crystal and obtain the corresponding band structure, based on which the electron dynamics under an external electric field is studied. Several unique band topologies are revealed, which lead to novel Floquet-Bloch oscillations in the electron's motion. We also discover intraband Zener tunneling in the oblique spacetime crystal beyond the adiabatic limit, which effectively converts between the different band topologies. Our results indicate the possibility of a prototypical quantum acoustoelectric generator that converts energy between the sound wave and a DC electric field in quantized units.
arXiv comment5 pages, 3 figures in the main text and 4 pages, 3 figures in the supplemental material
References in corpus (16)
- Photonic Floquet Topological Insulators
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Observation of a Discrete Time Crystal
- Floquet Engineering of Quantum Materials
- Floquet Time Crystals
- Quantum Time Crystals
- Floquet-Bloch theory and topology in periodically driven lattices
- Observation of time quasicrystal and its transition to superfluid time crystal
- Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
- Space-time crystals of trapped ions
- Topological frequency conversion in strongly driven quantum systems
- Floquet dynamics in driven Fermi-Hubbard systems
- The Floquet-Boltzmann equation
- Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
- Space-time crystal and space-time group
- Bloch-like energy oscillations
Cited by in corpus (15)
- Visual observation of optical Floquet-Bloch oscillations
- Floquet superradiance lattices in thermal atoms
- Electron Scattering at a Potential Temporal Step Discontinuity
- Semiclassical dynamics of electrons in space-time crystal: Magnetization, polarization, and current response
- Localization of matter waves in lattice systems with moving disorder
- Two-dimensional Thouless pumping in time-space crystalline structures
- Space-time symmetry breaking in nonequilibrium frustrated magnetism
- Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
- A Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry
- Space-time symmetry and nonreciprocal parametric resonance in mechanical systems
- Eight-dimensional topological systems simulated using time-space crystalline structures
- Projective Spacetime Symmetry of Spacetime Crystals
- The Symmetry Principle in Condensed Matter Physics (I)
- Two-dimensional moiré phonon polaritons
- Access to Klein Tunneling via Space-Time Modulation