Minimal non-abelian nodal braiding in ideal metamaterials [PDF]
Nature Communications, 2023 The authors constructed ideal acoustic metamaterials to realize non-abelian braiding of band nodes and provided the first compelling experimental evidence, at the wavefunction level, for the creation, collision, braiding, and repulsion of band nodes.
Huahui Qiu +5 more
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Condensation of an ideal gas obeying non-Abelian statistics [PDF]
Physical Review E, 2011 We consider the thermodynamic geometry of an ideal non-Abelian gas. We show that, for a certain value of the fractional parameter and at the relevant maximum value of fugacity, the thermodynamic curvature has a singular point.
Behrouz Mírzá, Hosein Mohammadzadeh
exaly +6 more sources
Locally conformally balanced metrics on almost abelian Lie algebras [PDF]
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
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Origin of model fractional Chern insulators in all topological ideal flatbands: Explicit color-entangled wave function and exact density algebra [PDF]
Physical Review Research, 2023 It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators.
Jie Wang, Semyon Klevtsov, Zhao Liu
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Principal ideal theorems in the genus field for absolutely abelian extensions
Journal of Number Theory, 1977 This paper has the following contents. 1°. In an abelian extension field K over the rational number field, any ambiguous ideal is a principal ideal in the genus field in the wide sense. 2°. A number theoretical proof of the following.
H. Furuya
exaly +3 more sources
The Ideal Membership Problem and Abelian Groups [PDF]
CoRR, 2022 Given polynomials $f_0,\dots, f_k$ the Ideal Membership Problem, IMP for short, asks if $f_0$ belongs to the ideal generated by $f_1,\dots, f_k$. In the search version of this problem the task is to find a proof of this fact. The IMP is a well-known fundamental problem with numerous applications.
Bulatov, Andrei A., Rafiey, Akbar
openaire +5 more sources
Statistical mechanics of an ideal gas of non-Abelian anyons [PDF]
, 2012 We study the thermodynamical properties of an ideal gas of non-Abelian Chern–Simons particles and we compute the second virial coefficient, considering the effect of general soft-core boundary conditions for the two-body wavefunction at zero distance ...
F. Mancarella +2 more
semanticscholar +2 more sources
Statistical interparticle potential of an ideal gas of non-Abelian anyons [PDF]
, 2012 We determine and study the statistical interparticle potential of an ideal system of non-Abelian Chern–Simons (NACS) particles, comparing our results with the corresponding results of an ideal gas of Abelian anyons.
F. Mancarella +2 more
semanticscholar +2 more sources
The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2001 We completely determine the ideal structures of the crossed products of Cuntz algebras by quasi-free actions of abelian groups and give another proof of A. Kishimoto's result on the simplicity of such crossed products.
Takeshi Katsura
semanticscholar +2 more sources
Balanced Hermitian structures on almost abelian Lie algebras [PDF]
Journal of Pure and Applied Algebra, 2020 We study balanced Hermitian structures on almost abelian Lie algebras, i.e. on Lie algebras with a codimension-one abelian ideal. In particular, we classify 6-dimensional almost abelian Lie algebras which carry a balanced structure.
A. Fino, Fabio Paradiso
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