Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
arXiv:2210.16254 · doi:10.21468/SciPostPhys.14.5.119
Abstract
We study electronic transport in Weyl semimetals with spatially varying nodal tilt profiles. We find that the flow of electrons can be guided precisely by judiciously chosen tilt profiles. In a broad regime of parameters, we show that electron flow is described well by semiclassical equations of motion similar to the ones governing gravitational attraction. This analogy provides a physically transparent tool for designing tiltronic devices like electronic lenses. The analogy to gravity circumvents the notoriously difficult full-fledged description of inhomogeneous solids. A comparison to microscopic lattice simulations shows that it is only valid for trajectories sufficiently far from analogue black holes. We finally comment on the Berry curvature-driven transverse motion and relate the latter to spin precession physics.
arXiv commentReplaced with revised version for SciPost resubmission. 38 pages, 12 figures
References in corpus (75)
- The electronic properties of graphene
- Berry Phase Effects on Electronic Properties
- Weyl and Dirac Semimetals in Three Dimensional Solids
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Chiral tunneling and the Klein paradox in graphene
- Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
- Kwant: a software package for quantum transport
- Analogue Gravity
- Hall Effect of Light
- Is the gravitational-wave ringdown a probe of the event horizon?
- The geometry of photon surfaces
- Chiral Kinetic Theory
- Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
- Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
- Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
- Lorentz Invariance in Chiral Kinetic Theory
- Anomaly related transport of Weyl fermions for Weyl semi-metals
- Topological spin transport of photons: the optical Magnus Effect and Berry Phase
- Magnetic-field-induced relativistic properties in type-I and type-II Weyl semimetals
- Triangle anomaly in Weyl semi-metals
- Gravitational Anomalies and Thermal Hall effect in Topological Insulators
- Black hole and Hawking radiation by type-II Weyl fermions
- Spin Hall effect and Berry phase of spinning particles
- Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals
- Topological Imbert-Fedorov shift in Weyl semimetals
- A condensed matter realization of the axial magnetic effect
- Spin Hall effect of Photons in a Static Gravitational Field
- Black Hole Horizon in a Type-III Dirac Semimetal ZnInS
- Gravitational spin Hall effect of light
- Lifshitz transitions, type-II Dirac and Weyl fermions, event horizon and all that
- Semi-classical wave packet dynamics in non-uniform electric fields
- Topological spin transport of relativistic electron
- Fermionic microstates within Painlevé-Gullstrand black hole
- Emergent Weyl spinors in multi-fermion systems
- Mixed Anomalies: Chiral Vortical Effect and the Sommerfeld Expansion
- Rotational strain in Weyl semimetals: A continuum approach
- Physics of the Inverted Harmonic Oscillator: From the lowest Landau level to event horizons
- Designer curved-space geometry for relativistic fermions in Weyl metamaterials
- Negative longitudinal magnetoconductance at weak fields in Weyl semimetals
- Berry Phase, Lorentz Covariance, and Anomalous Velocity for Dirac and Weyl Particles
- Chiral fermions as classical massless spinning particles
- Thermal chiral anomaly in the magnetic-field induced ideal Weyl phase of Bi1-xSbx topological insulators
- Polarization Transport of Transverse Acoustic Waves: Berry Phase and Spin Hall Effect of Phonons
- Intrinsic anomalous Hall conductivity in a nonuniform electric field
- Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
- Wigner translations and the observer-dependence of the position of masslesss spinning particles
- Landau levels, Bardeen polynomials and Fermi arcs in Weyl semimetals: the who's who of the chiral anomaly
- Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
- Holography of the Photon Ring
- Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
- Chiral Wave-packet Scattering in Weyl Semimetals
- Wigner-Souriau translations and Lorentz symmetry of chiral fermions
- Black and White Holes at Material Junctions
- Photonic chiral vortical effect
- Curved spacetime theory of inhomogeneous Weyl materials
- Electrically tunable valley polarization in Weyl semimetals with tilted energy dispersion
- Hawking fragmentation and Hawking attenuation in Weyl semimetals
- Large enhancement of conductivity in Weyl semimetals with tilted cones: Pseudorelativity and linear response
- Synthetic gravitational horizons in low-dimensional quantum matter
- Artificial event horizons in Weyl semimetal heterostructures and their non-equilibrium signatures
- Hidden conformal symmetry on the black hole photon sphere
- An analogue of Hawking radiation in the quantum Hall effect
- Chiral Hall effect in strained Weyl semimetals
- Pseudomagnetic lens as a valley and chirality splitter in Dirac and Weyl materials
- Berry phase and anomalous velocity of Weyl fermions and Maxwell photons
- Escape from black holes in materials: Type II Weyl semimetals and generic edge states
- Thermalization by a synthetic horizon
- Analogies between the Black Hole Interior and the Type II Weyl Semimetals
- Horizon physics of quasi-one-dimensional tilted Weyl cones on a lattice
- Lorentz transformations, sideways shift and massless spinning particles
- Chiral vortical effect in relativistic and nonrelativistic systems
- Simple analog of the black-hole information paradox in quantum Hall interfaces
- Anomalous properties of spin-extended chiral fermions
- Tilt induced vortical response and mixed anomaly in inhomogeneous Weyl matter
- Spin Hall effects and the localization of massless spinning particles
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- Emergent curved space and gravitational lensing in quantum materials
- Optimally scrambling chiral spin-chain with effective black hole geometry
- Quantum geometric tensors from sub-bundle geometry
- Bayesian analysis of analog gravity systems with the Rezzolla-Zhidenko metric
- Spinning Black Hole in a Fluid
- Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems
- Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields