Commensurate lock-in in holographic non-homogeneous lattices

A bstract We consider the spontaneous formation of striped structures in a holographic model which possesses explicit translational symmetry breaking, dual to an ionic lattice with spatially modulated chemical potential. We focus on the perturbative study of the marginal modes which drive the transi...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics 2017-03, Vol.2017 (3), p.1-23, Article 168
Main Authors: Andrade, Tomas, Krikun, Alexander
Format: Article
Language:English
Subjects:
Amplitudes
Broken symmetry
Chemical potential
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Holography and condensed matter physics (AdS/CMT)
Instability
Lattices
Mathematical analysis
Modulation
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Space-Time Symmetries
Spontaneous
String Theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A bstract We consider the spontaneous formation of striped structures in a holographic model which possesses explicit translational symmetry breaking, dual to an ionic lattice with spatially modulated chemical potential. We focus on the perturbative study of the marginal modes which drive the transition to a phase exhibiting spontaneous stripes. We study the wave-vectors of the instabilities with largest critical temperature in a wide range of backgrounds characterized by the period and the amplitude of the chemical potential modulation. We report the first holographic observation of the commensurate lock-in between the spontaneous stripes and the underlying ionic lattice, which takes place when the amplitude of the lattice is large enough. We also observe an incommensurate regime in which the amplitude of the lattice is finite, but the preferred stripe wave-vector is different from that of the lattice.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2017)168