Crystalline ground states for classical particles

Preprint English OPEN
Suto, Andras;
  • Related identifiers: doi: 10.1103/PhysRevLett.95.265501
  • Subject: Mathematical Physics | Condensed Matter - Statistical Mechanics
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Operator Algebras

Pair interactions whose Fourier transform is nonnegative and vanishes above a wave number K_0 are shown to give rise to periodic and aperiodic infinite volume ground state configurations (GSCs) in any dimension d. A typical three dimensional example is an interaction of... View more
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