Designer curved-space geometry for relativistic fermions in Weyl metamaterials

Abstract

Weyl semimetals are recently discovered materials supporting emergent relativistic fermions in the vicinity of band-crossing points known as Weyl nodes. The positions of the nodes and the low-energy spectrum depend sensitively on the time-reversal (TR) and inversion (I) symmetry breaking in the system. We introduce the concept of Weyl metamaterials where the particles experience a 3d curved geometry and gauge fields emerging from smooth spatially varying TR and I breaking fields. The Weyl metamaterials can be fabricated from semimetal or insulator parent states where the geometry can be tuned, for example, through inhomogeneous magnetization. We derive an explicit connection between the effective geometry and the local symmetry-breaking configuration. This result opens the door for a systematic study of 3d designer geometries and gauge fields for relativistic carriers. The Weyl metamaterials provide a route to novel electronic devices as highlighted by a remarkable 3d electron lens effect.

arXiv comment6 pages+10 page appendix

References in corpus (41)

• Berry Phase Effects on Electronic Properties
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental discovery of Weyl semimetal TaAs
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Experimental observation of Weyl points
• Observation of the chiral magnetic effect in ZrTe5
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Gauge fields in graphene
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Discovery of a Weyl Fermion semimetal state in NbAs
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Recent developments in transport phenomena in Weyl semimetals
• Topological Semimetals
• Electromagnetic Response of Weyl Semimetals
• Novel effects of strains in graphene and other two dimensional materials
• Precise quantization of anomalous Hall effect near zero magnetic field
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Elastic Gauge Fields in Weyl Semimetals
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Hyperbolic Weyl point in reciprocal chiral metamaterial
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• The chiral anomaly factory: Creating Weyl fermions with a magnetic field
• Helical Fermi arcs and surface states in time-reversal invariant Weyl semimetals
• Chirality Hall Effect in Weyl Semimetals
• Viscoelastic response of topological tight-binding models in two and three dimensions
• Transformation Optics and the Geometry of Light
• Visualizing the chiral anomaly in Dirac and Weyl semimetals with photoemission spectroscopy
• Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
• Spin textures and spin-wave excitations in doped Dirac-Weyl semimetals

Cited by in corpus (42)

• Light control with Weyl semimetals
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Emergent spacetime and gravitational Nieh-Yan anomaly in chiral $p+ip$ Weyl superfluids and superconductors
• Mixed axial-torsional anomaly in Weyl semimetals
• Landau levels, Bardeen polynomials and Fermi arcs in Weyl semimetals: the who's who of the chiral anomaly
• Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
• Curved spacetime theory of inhomogeneous Weyl materials
• Hawking fragmentation and Hawking attenuation in Weyl semimetals
• Acoustogalvanic effect in Dirac and Weyl semimetals
• Gauge Field Induced Chiral Zero Mode in Five-dimensional Yang Monopole Metamaterials
• Synthetic gravitational horizons in low-dimensional quantum matter
• Topological magnetotorsional effect in Weyl semimetals
• Artificial event horizons in Weyl semimetal heterostructures and their non-equilibrium signatures
• Chiral Hall effect in strained Weyl semimetals
• Partial positive refraction in asymmetric Veselago lenses of uniaxially strained graphene
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Weyl solitons in three-dimensional optical lattices
• Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals
• Antisymmetric Seebeck effect in a tilted Weyl semimetal
• Horizon physics of quasi-one-dimensional tilted Weyl cones on a lattice
• Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
• Anomalous conductance scaling in strained Weyl semimetals
• Anisotropic optics and gravitational lensing of tilted Weyl fermions
• Chiral transport of pseudo-spinors induced by synthetic gravitational field in photonic Weyl metamaterials
• Electronic properties of curved few-layers graphene: a geometrical approach
• Fermionic analogue of black hole radiation with a super high Hawking temperature
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• Anderson Localization and Swing Mobility Edge in Curved Spacetime
• Three-dimensional chiral Veselago lensing
• Emergent curved space and gravitational lensing in quantum materials
• Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
• Fast nuclear spin relaxation rates in tilted cone Weyl semimetals: Redshift factors from Korringa relation
• Simulating superluminal propagation of Dirac particles using trapped ions
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Electric and chiral response to a pseudoelectric field in Weyl materials
• Quantum geometric tensors from sub-bundle geometry
• Axionic Instability of Periodic Weyl-Semimetal Superstructures
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect
• Current response to axial gauge fields in noncentrosymmetric magnetic Weyl semimetals
• Quantum dynamics in 1D lattice models with synthetic horizons
• Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems