Abstract
We theoretically discuss the possibility of realizing the negative refractive index in Weyl/Dirac semimetals. We consider the Maxwell equations with the plasma gap and the chiral magnetic effect. We study the dispersion relations of electromagnetic waves, and show that the refractive index becomes negative at frequencies (just) below the plasma frequency. We find that axial anomaly, or more specifically, negative magnetoresistance (electric current parallel to magnetic fields) opens a new route to realize the negative refractive index. Reflection and transmission coefficients are computed in a slab of Weyl/Dirac semimetals.
Highlights
Negative refraction is the phenomenon that a light is counterintuitively refracted with a negative refractive angle compared to a natural matter
We find that axial anomaly, or negative magnetoresistance opens a new route to realize the negative refractive index
We study the Maxwell equations in the presence of the chiral magnetic effect (CME) [10] with the chiral chemical potential dynamically generated by DC parallel electric and magnetic fields [11]
Summary
Negative refraction is the phenomenon that a light is counterintuitively refracted with a negative refractive angle compared to a natural matter. We theoretically discuss the possibility of realizing the negative refractive index in Weyl/Dirac semimetals. We study the dispersion relations of electromagnetic waves, and show that the refractive index becomes negative at frequencies (just) below the plasma frequency.
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