Quasicrystals
The papers below represent some of the foundational research in quasicrystals, solids whose atomic arrangements violate the centuries-old laws of crystallography. The collection includes first paper to introduce the concept of quasicrystals and the first evidence for their existence in the laboratory; the first papers to prove the existence of local growth rules for quasicrystals; and the first papers to describe the elastic properties of quasicrystals.
INTRODUCTION TO QUASICRYSTALS
D. Levine, P.J. Steinhardt
Quasicrystals: A New Class of Ordered Structures, Phys. Rev. Lett. 53 (1984) 2477
Proposing the concept of quasicrystals (and the term), reporting the first constructions with icosahedral symmetry and their possible relation to aluminum-manganese phase reported by D. Shechtman et al.
D. Levine, P.J. Steinhardt
Quasicrystals I: Definition and Structure, Phys. Rev. B34 (1986) 596
Detailed description of diffraction patterns of quasicrystals and elaboration of the construction with icosahedral symmetry
J.E.S. Socolar, P.J. Steinhardt
Quasicrystals II: Definition and Structure, Phys. Rev. B34 (1986) 617
Introduction of local Isomorphism (LI) classes in quasicrystals and the construction of icosahedral quasicrystals with zonohedra with Ammann planes that satisfy matching and inflation rules
J.E.S. Socolar, P.J. Steinhardt
Quasicrystals with arbitrary orientational symmetry, Phys. Rev. B32, (1985) 5547
Introduces generalized dual method for constructing quasicrystals with arbitrary symmetry in any number of dimensions
H.-C. Jeong, P.J. Steinhardt
Constructing Penrose-like tilings from a single prototile and the implications for quasicrystals,
Phys. Rev. B55 (1997) 3520
How to construct two-dimensional quasicrystals from a single (overlapping) quasi-unit cell; for comparison with data, see here
GROWING PERFECT QUASICRYSTALS
G. Onoda, P.J. Steinhardt, D.P. DiVincenzo, J.E.S. Socolar
Growing perfect quasicrystals, Phys. Rev. Lett. 60, (1988) 2653
Can perfect 2D quasicrystals be grown if interatomic interactions are short-range?
C. Hann, J.E.S. Socolar, P.J. Steinhardt
Local growth of icosahedral quasicrystalline tilings, Phys. Rev. B94 (2016) 014113
Can perfect 3D quasicrystals be grown if interatomic interactions are short-range?
ELASTIC PROPERTIES OF QUASICRYSTALS
D. Levine, T.C. Lubensky, S. Ostlund, S. Ramaswamy, P.J. Steinhardt
Elasticity and Dislocations in Pentagonal and Icosahedral Quasicrystals, Phys. Rev. Lett. 54 (1985) 1520
First paper to describe the unique elastic properties and defects in quasicrystals
J.E.S. Socolar, T.C. Lubensky, P.J. Steinhardt
Phonons, phasons and dislocations in quasicrystals, Phys. Rev. Lett. 54 (1985) 1520
Comparison of tiling and continuum descriptions of elastic and defect properties
For more papers in condensed matter physics, go here]
To construct your own quasicrystal blocks, go to Keith Enevoldsen’s page
