Surface states and finite size effects in triple-fold semimetals

Fuente: arXiv
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Autori principali: Prykhodko, A. Yu., Gorbar, E. V., Sukhachov, P. O.
Natura: Preprint
Pubblicazione: 2025
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author Prykhodko, A. Yu.
Gorbar, E. V.
Sukhachov, P. O.
author_facet Prykhodko, A. Yu.
Gorbar, E. V.
Sukhachov, P. O.
contents Triple-fold or pseudospin-1 semimetals belong to a class of multi-fold materials in which linearly dispersive bands and flat bands intersect at the same point, forming triple-fold crossing points. We conduct an analytical investigation of topologically protected Fermi arc surface states and finite-size effects in three-dimensional (3D) triple-fold and doubly degenerate triple-fold semimetals in continuum low-energy models. Higher topological charge of the triple-fold crossing points leads to two Fermi arcs connecting the nodes. For a single triple-fold crossing point, we found that no term in the Hamiltonian with momentum-independent elements can open a gap, prompting us to consider doubly-degenerate triple-fold fermions, where the gap can be opened by mixing the degenerate copies. Thin films of triple-fold semimetals allow for mixing between the surface and bulk states in addition to the discretization of energy levels of the latter.
format Preprint
id arxiv_https___arxiv_org_abs_2506_18753
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Surface states and finite size effects in triple-fold semimetals
Prykhodko, A. Yu.
Gorbar, E. V.
Sukhachov, P. O.
Mesoscale and Nanoscale Physics
Triple-fold or pseudospin-1 semimetals belong to a class of multi-fold materials in which linearly dispersive bands and flat bands intersect at the same point, forming triple-fold crossing points. We conduct an analytical investigation of topologically protected Fermi arc surface states and finite-size effects in three-dimensional (3D) triple-fold and doubly degenerate triple-fold semimetals in continuum low-energy models. Higher topological charge of the triple-fold crossing points leads to two Fermi arcs connecting the nodes. For a single triple-fold crossing point, we found that no term in the Hamiltonian with momentum-independent elements can open a gap, prompting us to consider doubly-degenerate triple-fold fermions, where the gap can be opened by mixing the degenerate copies. Thin films of triple-fold semimetals allow for mixing between the surface and bulk states in addition to the discretization of energy levels of the latter.
title Surface states and finite size effects in triple-fold semimetals
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2506.18753