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Holographic checkerboards

Holographic checkerboards
Holographic checkerboards
We construct cohomogeneity-three, finite temperature stationary black brane solutions dual to a field theory exhibiting checkerboard order. The checkerboards form a backreacted part of the bulk solution, and are obtained numerically from the coupled Einstein-Maxwell-scalar PDE system. They arise spontaneously and without the inclusion of an explicit lattice. The phase exhibits both charge and global U(1)-current modulation, which are periodic in two spatial directions. The current circulates within each checkerboard plaquette. We explore the competition with striped phases, finding first-order checkerboard to stripe phase transitions. We also detail spatially modulated instabilities of asymptotically AdS black brane backgrounds with neutral scalar profiles, including those with an hyperscaling violating IR geometry at zero temperature.
1029-8479
1-23
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Withers, Benjamin (2014) Holographic checkerboards. Journal of High Energy Physics, 2014 (09), 1-23, [102]. (doi:10.1007/JHEP09(2014)102).

Record type: Article

Abstract

We construct cohomogeneity-three, finite temperature stationary black brane solutions dual to a field theory exhibiting checkerboard order. The checkerboards form a backreacted part of the bulk solution, and are obtained numerically from the coupled Einstein-Maxwell-scalar PDE system. They arise spontaneously and without the inclusion of an explicit lattice. The phase exhibits both charge and global U(1)-current modulation, which are periodic in two spatial directions. The current circulates within each checkerboard plaquette. We explore the competition with striped phases, finding first-order checkerboard to stripe phase transitions. We also detail spatially modulated instabilities of asymptotically AdS black brane backgrounds with neutral scalar profiles, including those with an hyperscaling violating IR geometry at zero temperature.

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More information

Accepted/In Press date: 27 August 2014
e-pub ahead of print date: 18 September 2014
Published date: 18 September 2014

Identifiers

Local EPrints ID: 436077
URI: http://eprints.soton.ac.uk/id/eprint/436077
ISSN: 1029-8479
PURE UUID: 92c437cc-ba6b-4e34-9d33-36a549197c0c
ORCID for Benjamin Withers: ORCID iD orcid.org/0000-0001-8490-9948

Catalogue record

Date deposited: 27 Nov 2019 17:30
Last modified: 17 Mar 2024 02:27

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