Electrodynamics of tilted Dirac/Weyl materials: A unique platform for unusual surface plasmon polaritons

Abstract

The electrodynamics of Weyl semimetals (WSMs) is an extension of Maxwell's theory where in addition to field strength tensor $F_{\mu \nu }$, an axion field enters the theory which is parameterized by a four-vector $b^{\mu }=(b_0,\mathbf{b})$. In the tilted Weyl matter (TWM) an additional set of parameters $\zeta =({\zeta }_x,{\zeta }_y,{\zeta }_z)$ enter the theory that can be encoded into the metric of the spacetime felt by electrons in TWM. This allows an extension of Maxwell's electrodynamics that describes electric and magnetic fields in TWMs and tilted Dirac material (TDM) when $b^{\mu }=0$. The tilt parameter $\zeta$ appearing as off-diagonal metric entries mixing time and space components mingles $\mathbf{E}$ and $\mathbf{B}$ fields whereby modifies the inhomogeneous Maxwell's equations. Surface plasmon polariton (SPP) in these systems describes the propagation of electromagnetic waves at the {\it interface of two different spacetime geometries}. In the case of TDM, we find a characteristic dependence of SPP spectrum on the tilt parameter $\zeta$ which can be used map $\zeta$ from SPP measurements. In the case of TWM, depending on whether the interface with vacuum supports a Fermi arc or not, and whether the propagation direction is along the Fermi arc or transverse to it, we find many unusual spectral features for SPP modes. Our detailed study of the dependence of SPP spectra on the arrangements of three vectors $(\mathbf{b},\mathbf{q},\zeta )$, the first two of which are at our control, can be utilized to map the tilt characteristics and Fermi arc characteristics from SPP measurements.

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• Surface plasmon polaritons in strained Weyl semimetals
• Electrically charged Andreev modes in two-dimensional tilted Dirac cone systems
• High Fermi velocities and small cyclotron masses in LaAlGe
• Axionic surface wave in dynamical axion insulators
• Undamped transverse electric mode in undoped two-dimensional tilted Dirac cone materials
• Photonic Topological Transitions and Epsilon-Near-Zero Surface Plasmons in Type-II Dirac Semimetal NiTe${}_2$
• Weyl points and exceptional rings with polaritons in bulk semiconductors
• Omnidirectional excitation of surface waves and super-Klein tunneling at the interface between two different bi-isotropic media
• Nonreciprocal Weyl semimetal waveguide
• Fast nuclear spin relaxation rates in tilted cone Weyl semimetals: Redshift factors from Korringa relation
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• Collective light-matter interaction in plasmonic waveguide quantum electrodynamics
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect
• Localized degenerate solutions to the massless Dirac and Weyl equations