Lorentz‐Boost‐Driven Magneto‐Optics in a Dirac Nodal‐Line Semimetal

Optical response of crystalline solids is to a large extent driven by excitations that promote electrons among individual bands. This allows one to apply optical and magneto‐optical methods to determine experimentally the energy band gap —a fundamental property crucial to our understanding of any so...

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Bibliographic Details
Published in:Advanced science Vol. 9; no. 23; pp. e2105720 - n/a
Main Authors: Wyzula, Jan, Lu, Xin, Santos‐Cottin, David, Mukherjee, Dibya Kanti, Mohelský, Ivan, Le Mardelé, Florian, Novák, Jiří, Novak, Mario, Sankar, Raman, Krupko, Yuriy, Piot, Benjamin A., Lee, Wei‐Li, Akrap, Ana, Potemski, Marek, Goerbig, Mark O., Orlita, Milan
Format: Journal Article
Language:English
Published: Germany John Wiley & Sons, Inc 01.08.2022
Wiley Open Access
John Wiley and Sons Inc
Wiley
Subjects:
dirac and topological matter
Energy
infrared magneto‐spectroscopy
Landau level spectroscopy
Lorentz boost
Magnetic fields
nodal‐line semimetals
Physics
Radiation
Theory of relativity
Velocity
Lorentz boost
dirac and topological matter
nodal-line semimetals
Landau level spectroscopy
infrared magneto-spectroscopy
ISSN:2198-3844, 2198-3844
Online Access:Get full text
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Summary:Optical response of crystalline solids is to a large extent driven by excitations that promote electrons among individual bands. This allows one to apply optical and magneto‐optical methods to determine experimentally the energy band gap —a fundamental property crucial to our understanding of any solid—with a great precision. Here it is shown that such conventional methods, applied with great success to many materials in the past, do not work in topological Dirac semimetals with a dispersive nodal line. There, the optically deduced band gap depends on how the magnetic field is oriented with respect to the crystal axes. Such highly unusual behavior is explained in terms of band‐gap renormalization driven by Lorentz boosts which results from the Lorentz‐covariant form of the Dirac Hamiltonian relevant for the nodal line at low energies. Here the authors show that the magneto‐optical response of a topological Dirac semimetal with a dispersive nodal line can be understood in terms of pseudo‐relativistic Lorentz transformation. The observed variation of the optical band gap Δ is interpreted as Lorentz‐boost‐driven renormalization of energy, Δ → Δ/γ, where γ stands for the Lorentz factor defined by the mutual orientation of the applied magnetic field and nodal‐line direction.
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ISSN:2198-3844
2198-3844
DOI:10.1002/advs.202105720