Weak crystallization theory of metallic alloys

@article{Martin2015WeakCT,
  title={Weak crystallization theory of metallic alloys},
  author={Ivar Martin and Sarang Gopalakrishnan and Eugene A. Demler},
  journal={Physical Review B},
  year={2015},
  volume={93},
  pages={235140}
}
Crystallization is one of the most familiar, but hardest to analyze, phase transitions. The principal reason is that crystallization typically occurs via a strongly first-order phase transition, and thus rigorous treatment would require comparing energies of an infinite number of possible crystalline states with the energy of liquid. A great simplification occurs when crystallization transition happens to be weakly first order. In this case, weak crystallization theory, based on unbiased… 
5 Citations

Figures from this paper

Phase crystals

Superconductivity owes its properties to the phase of the electron pair condensate that breaks the $U(1)$ symmetry. In the most traditional ground state, the phase is uniform and rigid. The normal

Structure-property relations characterizing the devitrification of Ni-Zr glassy alloy thin films

The investigation of devitrification in thermally annealed nanodimensional glassy alloy thin films provides a comprehensive understanding of their thermal stability, which can be used to explore

Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces

We show that electronic materials with disallowed rotational symmetries that enforce quasiperiodic order can exhibit quantum oscillations and that these are generically associated with exotic "spiral

Doublon dynamics and polar molecule production in an optical lattice

The interplay of tunnelling and interaction of fermions and bosons provides a controllable platform to study Bose-Fermi Hubbard dynamics and the distribution of the atomic gases in the lattice is probed by measuring the inelastic loss of doublons.

References

SHOWING 1-10 OF 11 REFERENCES

Quasicrystals: A Primer

How to fill space with atoms in condensed matter Real quasicrystals: preparation and characterization High-dimensional crystallography Where are the atoms? Phonons, phasons, and dislocations in

Quasicrystals The State Of The Art

The quasicrystals the state of the art is universally compatible with any devices to read, and is available in the book collection an online access to it is set as public so you can download it instantly.

Metals 35

  • 295
  • 1926

Helvetica Physica Acta

  • 61, 538
  • 1988

For analysis of the local weak srystallizaion model with the condition relaxed, see

    Quasicrystals: Structure and Physical Properties (Wiley

    • New York,
    • 2006

    Kitaev

    • and L. S. Levitov, Pis’ma Zh. Eksp. Teor. Fiz. 41, 119 (1985) [JETP Lett. 41, 145
    • 1985

    PHYSICS REPORTS (Review Section of Physics Letters) 228

    • 1
    • 1993

    Details of derivations and Matlab scripts used in the process of this work can be