2021
DOI: 10.1088/1361-648x/ac0477
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Discontinuous quantum and classical magnetic response of the pentakis dodecahedron*

Abstract: The pentakis dodecahedron, the dual of the truncated icosahedron, consists of 60 edge-sharing triangles. It has 20 six-fold and 12 five-fold coordinated vertices, with the former forming a dodecahedron, and each of the latter connected to the vertices of one of the 12 pentagons of the dodecahedron. When spins mounted on the vertices of the pentakis dodecahedron interact according to the nearest-neighbor antiferromagnetic Heisenberg model, the two different vertex types necessitate the introduction of two excha… Show more

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Cited by 6 publications
(7 citation statements)
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“…The calculations were done numerically [15,[31][32][33][34][35][36][37][38][39][40]. Each spin s i being a classical unit vector in n dimensions is defined by n − 2 polar angles varying from 0 to π and an azimuthal angle varying from 0 to 2π.…”
Section: Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…The calculations were done numerically [15,[31][32][33][34][35][36][37][38][39][40]. Each spin s i being a classical unit vector in n dimensions is defined by n − 2 polar angles varying from 0 to π and an azimuthal angle varying from 0 to 2π.…”
Section: Modelmentioning
confidence: 99%
“…The two corresponding exchange constants are parametrized as cosω and sinω. The zero-field ground state has been calculated for d = 3, along with the magnetization response both at the classical and quantum level [40]. Figure 10 shows the reduced ground-state energy per bond of Hamiltonian (1) as a function of ω for d = 1 to 4.…”
Section: Geodesic Icosahedramentioning
confidence: 99%
“…Ground-state properties of the S = 1/2 antiferromagnetic Heisenberg model on these lattices have been known for the uniform case Ĥ(N) 0 . [47][48][49][50][51][52][53][54] In this article, we introduce the modulated part Ĥ(N)…”
Section: Introductionmentioning
confidence: 99%
“…The two molecules are dual of one another, and they have been shown to possess a similar low-energy spectrum. Fullerenes with different symmetries have also been found to exhibit rich magnetic behavior [17][18][19] , while the next-bigger icosahedral fullerene dual, the pentakis dodecahedron, shows a very rich magnetization response as a function of the relative strength of its two symmetrically unique exchange constants 20 .…”
mentioning
confidence: 99%
“…The lowest-energy configuration of Hamiltonian ( 1) is a result of the competition for minimization between the exchange and the magnetic energy, with the frustrated connectivity of the 600-cell playing a central role. Minimization of the Hamiltonian gives the lowest-energy spin configuration as a function of h 12,13,15,[18][19][20][22][23][24][25][26][27][28] .…”
mentioning
confidence: 99%