On minima of difference of theta functions and application to hexagonal crystallization
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Publication:6047240
DOI10.1007/s00208-022-02476-8arXiv2203.00264OpenAlexW4226035408WikidataQ114231092 ScholiaQ114231092MaRDI QIDQ6047240
Publication date: 7 September 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.00264
Statistical mechanics of crystals (82D25) Theta series; Weil representation; theta correspondences (11F27) Crystals in solids (74N05)
Cites Work
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- From the Ginzburg-Landau model to vortex lattice problems
- The crystallization conjecture: a review
- An application of the modular function in nonlocal variational problem
- Extremals of determinants of Laplacians
- Systems of points with Coulomb interactions
- On stability of Abrikosov vortex lattices
- On minima of sum of theta functions and application to Mueller-Ho conjecture
- Optimal and non-optimal lattices for non-completely monotone interaction potentials
- Minima of Epstein's zeta function and heights of flat tori
- A fundamental region for Hecke's modular group
- Two-Dimensional Theta Functions and Crystallization among Bravais Lattices
- Struktur der Materie
- Minimization of energy per particle among Bravais lattices in ℝ2: Lennard–Jones and Thomas–Fermi cases
- Minimal theta functions
- Local variational study of 2d lattice energies and application to Lennard–Jones type interactions
- Nonhexagonal Lattices From a Two Species Interacting System
- On the optimality of the rock-salt structure among lattices with charge distributions
- Minimizing lattice structures for Morse potential energy in two and three dimensions
- Discrete Energy on Rectifiable Sets
- Mathematics and Materials
- On energy ground states among crystal lattice structures with prescribed bonds
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