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pro vyhledávání: '"Dias, R."'
A generalization of the graphene honeycomb model to the case where each site in the honeycomb lattice contains a $n-$fold degenerate set of eigenstates of the $C_3$ symmetry has been recently proposed to describe several systems, including triangulen
Externí odkaz:
http://arxiv.org/abs/2407.08467
Publikováno v:
Mechanical Systems and Signal Processing, Volume 205, 15 December 2023, 110807
This paper aims at introducing a methodology to compute stable coupled state-space models for dynamic substructuring applications by introducing two novel approaches targeted to accomplish this task: a) a procedure to impose Newtons's second law with
Externí odkaz:
http://arxiv.org/abs/2403.03182
Publikováno v:
Phys. Rev. Research 5, 023110 (2023)
Square-root topology describes models whose topological properties can be revealed upon squaring the Hamiltonian, which produces their respective parent topological insulators. This concept has recently been generalized to $2^n$-root topology, charac
Externí odkaz:
http://arxiv.org/abs/2212.10176
Molecular hydrogen was pressurized in a diamond anvil cell at temperatures between 5 and 83 K. At a sufficiently high pressure, estimated to be between 477 to 491 GPa, hydrogen became metallic, determined by its reflectance in the near infrared and f
Externí odkaz:
http://arxiv.org/abs/2209.05571
Autor:
Marques, A. M., Dias, R. G.
Publikováno v:
Phys. Rev. B 106, 205146 (2022)
Hermitian bipartite models are characterized by the presence of chiral symmetry and by Lieb's theorem, which derives the number of zero-energy flat bands of the model from the imbalance of sites between its two sublattices. Here, we introduce a class
Externí odkaz:
http://arxiv.org/abs/2205.04174
Publikováno v:
In Journal of African Earth Sciences September 2024 217
Autor:
Dias, R. G., Marques, A. M.
Publikováno v:
Phys. Rev. B 105, 035102 (2022)
In this paper, we show that the introduction of long-range hoppings in 1D topological insulator models implies that different possibilities of site indexing must be considered when determining the bulk topological invariants in order to avoid the exi
Externí odkaz:
http://arxiv.org/abs/2109.09201
Autor:
Marques, A. M., Dias, R. G.
Publikováno v:
Phys. Rev. B 104, 165410 (2021)
Recently, we have introduced in [A. M. Marques et al., Phys. Rev. B 103, 235425 (2021)] the concept of $2^n$-root topology and applied it to one-dimensional systems. These models require $n$ squaring operations to their Hamiltonians, intercalated wit
Externí odkaz:
http://arxiv.org/abs/2107.13974
Publikováno v:
Phys. Rev. B 103, 235425 (2021)
Square-root topology is a recently emerged subfield describing a class of insulators and superconductors whose topological nature is only revealed upon squaring their Hamiltonians, i.e., the finite energy edge states of the starting square-root model
Externí odkaz:
http://arxiv.org/abs/2102.12635
Autor:
Dias, R. G., Marques, A. M.
Publikováno v:
Phys. Rev. B 103, 245112 (2021)
We address a particular set of extended Su-Schrieffer-Heeger models with $2n$ sites in the unit cell [SSH($2n$)], that we designate by Sine-Cosine models [SC$(n)$], with hopping terms defined as a sequence of $n$ sine-cosine pairs of the form $\{\sin
Externí odkaz:
http://arxiv.org/abs/2102.00887