Topological frequency conversion in Weyl semimetals

Abstract

We theoretically predict a new working principle for optical amplification, based on Weyl semimetals: when a Weyl semimetal is suitably irradiated at two frequencies, electrons close to the Weyl points convert energy between the frequencies through the mechanism of topological frequency conversion from [Martin et al, PRX 7 041008 (2017)]. Each electron converts energy at a quantized rate given by an integer multiple of Planck's constant multiplied by the product of the two frequencies. In simulations, we show that optimal, but feasible band structures can support topological frequency conversion in the "THz gap" at intensities down to $2\mathrm{W}/\mathrm{m}{\mathrm{m}}^2$; the gain from the effect can exceed the dissipative loss when the frequencies are larger than the relaxation time of the system. Topological frequency conversion provides a new paradigm for optical amplification, and further extends Weyl semimetals' promise for technological applications.

arXiv commentAdded new section on phase-array amplifier and plasmon-enhanced frequency conversion

References in corpus (71)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Topological Materials: Weyl Semimetals
• Experimental discovery of Weyl semimetal TaAs
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Photovoltaic Hall effect in graphene
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Topological characterization of periodically-driven quantum systems
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Floquet Engineering of Quantum Materials
• Floquet Time Crystals
• Discovery of a Weyl Fermion semimetal state in NbAs
• On the phase structure of driven quantum systems
• Light-induced anomalous Hall effect in graphene
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Quantized circular photogalvanic effect in Weyl semimetals
• Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
• Experimental discovery of a topological Weyl semimetal state in TaP
• Colossal Bulk Photovoltaic Effect in a Weyl Semimetal
• Photocurrents in Weyl semimetals
• Topological singularities and the general classification of Floquet-Bloch systems
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Symmetries and selection rules in Floquet systems: application to harmonic generation in nonlinear optics
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Classification of Interacting Topological Floquet Phases in One Dimension
• Topological surface Fermi arcs in the magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Universal Lindblad equation for open quantum systems
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Topological frequency conversion in strongly driven quantum systems
• Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
• Chiral Floquet Phases of Many-body Localized Bosons
• Lightwave topology for strong-field valleytronics
• Tracking ultrafast photocurrents in the Weyl semimetal TaAs using THz emission spectroscopy
• Chiral Quasiparticles at the Fermi Surface of the Weyl Semimetal TaAs
• Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
• Quantum limit transport and destruction of the Weyl nodes in TaAs
• Ultrafast Carrier Dynamics in the Large Magnetoresistance Material WTe${}_2$
• Room Temperature Amplification of Terahertz Radiation by Grating-Gate Graphene Structures
• Anomalous Floquet Insulators
• Topological Floquet-Thouless energy pump
• Observation of Fermi Arcs in non-Centrosymmetric Weyl Semi-metal Candidate NbP
• Terahertz driven extremely nonlinear bulk photogalvanic currents in non-resonant conditions
• Quantized magnetization density in periodically driven systems
• Current at a distance and resonant transparency in Weyl semimetals
• Topologically protected braiding in a single wire using Floquet Majorana modes
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
• Microscopic Origins of Hydrodynamic Transport in Type-II Weyl Semimetal WP${}_2$
• Similar ultrafast dynamics of several dissimilar Dirac and Weyl semimetals
• Current-induced second harmonic generation in inversion-symmetric Dirac and Weyl semimetals
• Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
• Transient reflectance of photoexcited Cd${}_3$As${}_2$
• Evidence for dominant phonon-electron scattering in Weyl semimetal WP${}_2$
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains
• Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
• Topological two-dimensional Floquet lattice on a single superconducting qubit
• Revealing the ultrafast light-to-matter energy conversion before heat diffusion in a layered Dirac semimetal
• Quasiperiodic Floquet-Thouless energy pump
• Optoelectronic Response of Type-I Weyl Semimetals TaAs and NbAs from First Principles
• Many-Body Localization with Quasiperiodic Driving
• Probing charge pumping and relaxation of the chiral anomaly in a Dirac semimetal
• Optical Control of Chiral Charge Pumping in a Topological Weyl Semimetal
• Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
• Terahertz amplifiers based on gain reflectivity in cuprate superconductors
• Orbital magnetization of Floquet topological systems

Cited by in corpus (11)

• Light control with Weyl semimetals
• Role of topological charges in the nonlinear-optical response from Weyl semimetals
• High-harmonic generation in semi-Dirac and Weyl semimetals with broken time-reversal symmetry: Exploring merging of Weyl nodes
• Experimental observation of a time rondeau crystal: Temporal Disorder in Spatiotemporal Order
• Topological frequency conversion in rhombohedral multilayer graphene
• Terahertz third-harmonic generation of lightwave driven Weyl fermions far from equilibrium
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Engineering Hierarchical Symmetries
• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
• A strong-driving toolkit for topological Floquet energy pumps with superconducting circuits
• Topological energy pumping in a quasi-periodically driven four-level system