Tight-binding and density-functional study of the Raman tensor in two-dimensional massive Dirac fermion systems

Fuente: arXiv
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Autori principali: Parlak, Selçuk, Kumar, Abhishek, Li, Runhan, Vergniory, Maia G., Garate, Ion
Natura: Preprint
Pubblicazione: 2025
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author Parlak, Selçuk
Kumar, Abhishek
Li, Runhan
Vergniory, Maia G.
Garate, Ion
author_facet Parlak, Selçuk
Kumar, Abhishek
Li, Runhan
Vergniory, Maia G.
Garate, Ion
contents Recently, two unusual features were theoretically predicted for the Raman response of out-of-plane phonons in magnetic two-dimensional materials hosting massive Dirac fermions. First, the phase difference between certain Raman tensor elements was found to be quantized to $\pm π/2$, sensitive only to the sign of the Dirac fermion mass. Second, a selection rule was identified in the Raman intensity under circularly polarized light, which generalizes the well-known optical valley selection rule. These predictions were based on a low-energy effective model in the continuum approximation. Here, we test the robustness of those results for more realistic theoretical approaches. First, we calculate the Raman tensor for an electronic tight-binding model on a honeycomb lattice with broken time-reversal and inversion symmetries. Second, we compute the Raman tensor from density-functional theory for a monolayer of ferromagnetic 2H-RuCl$_2$. Both calculations corroborate the analytical results found in the continuum model, thereby theoretically confirming the peculiar behavior of the Raman tensor for two dimensional massive Dirac fermion systems.
format Preprint
id arxiv_https___arxiv_org_abs_2512_16377
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tight-binding and density-functional study of the Raman tensor in two-dimensional massive Dirac fermion systems
Parlak, Selçuk
Kumar, Abhishek
Li, Runhan
Vergniory, Maia G.
Garate, Ion
Materials Science
Recently, two unusual features were theoretically predicted for the Raman response of out-of-plane phonons in magnetic two-dimensional materials hosting massive Dirac fermions. First, the phase difference between certain Raman tensor elements was found to be quantized to $\pm π/2$, sensitive only to the sign of the Dirac fermion mass. Second, a selection rule was identified in the Raman intensity under circularly polarized light, which generalizes the well-known optical valley selection rule. These predictions were based on a low-energy effective model in the continuum approximation. Here, we test the robustness of those results for more realistic theoretical approaches. First, we calculate the Raman tensor for an electronic tight-binding model on a honeycomb lattice with broken time-reversal and inversion symmetries. Second, we compute the Raman tensor from density-functional theory for a monolayer of ferromagnetic 2H-RuCl$_2$. Both calculations corroborate the analytical results found in the continuum model, thereby theoretically confirming the peculiar behavior of the Raman tensor for two dimensional massive Dirac fermion systems.
title Tight-binding and density-functional study of the Raman tensor in two-dimensional massive Dirac fermion systems
topic Materials Science
url https://arxiv.org/abs/2512.16377