Holographic discommensurations
arXiv:1710.05801 · doi:10.1007/JHEP12(2018)030
Abstract
When the system with internal tendency to a spontaneous formation of a spatially periodic state is brought in contact with the external explicit periodic potential, the interesting phenomenon of commensurate lock in can be observed. In case when the explicit potential is strong enough and its period is close to the period of the spontaneous structure, the latter is forced to assume the periodicity of the former and the commensurate state becomes a thermodynamically preferred one. If instead the two periods are significantly different, the incommensurate state is formed. It is characterized by a finite density of solitonic objects -- discommensurations -- on top of the commensurate state. In this note I study the properties of discommensurations in holographic model with inhomogeneous translational symmetry breaking and explain how one can understand the commensurate/incommensurate phase transition as a proliferation of these solitons. Some useful numerical techniques are discussed in the Appendix.
22 pages, 9 figures. v2: misprints corrected, reverences added
References in corpus (6)
Cited by in corpus (8)
- Colloquium: Hydrodynamics and holography of charge density wave phases
- Homogeneous Holographic Viscoelastic Models & Quasicrystals
- Coherent vs incoherent transport in holographic strange insulators
- Isolated zeros destroy Fermi surface in holographic models with a lattice
- Spectral Weight Suppression and Fermi Arc-like Features with Strong Holographic Lattices
- Phase relaxation and pattern formation in holographic gapless charge density waves
- Thermoelectric transport properties of gapless pinned charge density waves
- The commensurate state and lock-in in a holographic model