Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2018.09.029
Abstract: Abstract Strain Gradient Elasticity (SGE) is now often used in mechanics and physics, owing to its capability to model some non-classical phenomena, such as size effects, in materials and structures. However, certain fundamental questions about… read more here.
Keywords: strain gradient; order; symmetry classes; symmetry ... See more keywords
Symmetry classes of tensors associated with certain groups
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.05.016
Abstract: Abstract For n ≥ 1 , the group U 6 n = 〈 a , b : a 2 n = b 3 = 1 , a − 1 b a = b − 1… read more here.
Keywords: classes tensors; certain groups; associated certain; symmetry classes ... See more keywords
The Rosenzweig–Porter model revisited for the three Wigner–Dyson symmetry classes
Sign Up to like & getrecommendations! Published in 2024 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ad5d86
Abstract: Interest in the Rosenzweig–Porter model, a parameter-dependent random-matrix model which interpolates between Poisson and Wigner–Dyson (WD) statistics describing the fluctuation properties of the eigenstates of typical quantum systems with regular and chaotic classical dynamics, respectively,… read more here.
Keywords: symmetry classes; rosenzweig porter; porter model; model ... See more keywords
Unified understanding of symmetry indicators for all internal symmetry classes
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.98.115150
Abstract: The interplay between symmetry and topology in electronic band structures has been one of the central subjects in condensed-matter physics. Recently, it has been getting clear that a wide variety of useful information about the… read more here.
Keywords: understanding symmetry; unified understanding; symmetry classes; symmetry indicators ... See more keywords
Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.062207
Abstract: We consider two coupled quantum tops with angular momentum vectors L and M. The coupling Hamiltonian defines the Feingold-Peres model, which is a known paradigm of quantum chaos. We show that this model has a… read more here.
Keywords: nonstandard symmetry; feingold peres; class; symmetry classes ... See more keywords
Topological Effect on the Anderson Transition in Chiral Symmetry Classes.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review letters"
DOI: 10.1103/physrevlett.133.226601
Abstract: In this Letter, we propose a mechanism of an emergent quasilocalized phase in chiral symmetry classes, where the wave function along a spatial direction with weak topology is delocalized but exponentially localized along the other… read more here.
Keywords: symmetry classes; topology; anderson transition; chiral symmetry ... See more keywords
Symmetry Classes and Matrix Representations of the 2D Flexoelectric Law
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12040674
Abstract: We determine the different symmetry classes of bi-dimensional flexoelectric tensors. Using the harmonic decomposition method, we show that there are six symmetry classes. We also provide the matrix representations of the flexoelectric tensor and of… read more here.
Keywords: representations flexoelectric; symmetry classes; flexoelectric law; symmetry ... See more keywords