Calculating the Symmetry Number of Flexible Sphere Clusters
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-019-09537-4
Abstract: We present a theoretical and computational framework to compute the symmetry number of a flexible sphere cluster in $${\mathbb {R}}^3$$R3, using a definition of symmetry that arises naturally when calculating the equilibrium probability of a… read more here.
Keywords: symmetry number; symmetry; symmetry group; number flexible ... See more keywords
Determining the metric and the symmetry group of finite point sets in space with an application to cyclohexane
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-017-0789-x
Abstract: To examine molecular geometry, we ask two questions: (1) What are the metric properties of a finite set of points in space, i.e., what are the relations of the distances between the points? (2) What… read more here.
Keywords: space; geometry; point; symmetry ... See more keywords
Projective symmetry group classification of Abrikosov fermion mean-field ansätze on the square-octagon lattice
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.107.134438
Abstract: We perform a projective symmetry group (PSG) classification of symmetric quantum spin liquids with different gauge groups on the square-octagon lattice. Employing the Abrikosov fermion representation for spin-$1/2$, we obtain $32$ $SU(2)$, $1808$ $U(1)$ and… read more here.
Keywords: abrikosov fermion; classification; projective symmetry; symmetry group ... See more keywords
Topological states from topological crystals
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DOI: 10.1126/sciadv.aax2007
Abstract: We classify and construct topological crystalline insulators via real-space motifs of lower-dimensional states. We present a scheme to explicitly construct and classify general topological states jointly protected by an onsite symmetry group and a spatial… read more here.
Keywords: topological states; topological crystals; symmetry group; crystals topological ... See more keywords