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dc.contributor.authorChesler, Paul
dc.contributor.authorLucas, Andrew James
dc.contributor.authorSachdev, Subir
dc.date.accessioned2015-07-09T17:51:04Z
dc.date.issued2014
dc.identifier.citationChesler, Paul, Andrew Lucas, and Subir Sachdev. 2014. “Conformal Field Theories in a Periodic Potential: Results from Holography and Field Theory.” Physical Review D 89, no. 2.en_US
dc.identifier.issn1550-7998en_US
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:17190520
dc.description.abstractWe study (2+1)-dimensional conformal field theories (CFTs) with a globally conserved U(1) charge, placed in a chemical potential which is periodically modulated along the spatial direction x with zero average: μ(x)=V cos(kx). The dynamics of such theories depends only on the dimensionless ratio V/k, and we expect that they flow in the infrared to new CFTs whose universality class changes as a function of V/k. We compute the frequency-dependent conductivity of strongly coupled CFTs using holography of the Einstein-Maxwell theory in four-dimensional anti–de Sitter space. We compare the results with the corresponding computation of weakly coupled CFTs, perturbed away from the CFT of free, massless Dirac fermions (which describes graphene at low energies). We find that the results of the two computations have significant qualitative similarities. However, differences do appear in the vicinities of an infinite discrete set of values of V/k: the universality class of the infrared CFT changes at these values in the weakly coupled theory, by the emergence of new zero modes of Dirac fermions which are remnants of local Fermi surfaces. The infrared theory changes continuously in holography, and the classical gravitational theory does not capture the physics of the discrete transition points between the infrared CFTs. We briefly note implications for a nonzero average chemical potential.en_US
dc.description.sponsorshipPhysicsen_US
dc.language.isoen_USen_US
dc.publisherAmerican Physical Society (APS)en_US
dc.relation.isversionofdoi:10.1103/physrevd.89.026005en_US
dash.licenseOAP
dc.titleConformal field theories in a periodic potential: Results from holography and field theoryen_US
dc.typeJournal Articleen_US
dc.description.versionAccepted Manuscripten_US
dc.relation.journalPhysical Review Den_US
dash.depositing.authorSachdev, Subir
dc.date.available2015-07-09T17:51:04Z
dc.identifier.doi10.1103/physrevd.89.026005*
workflow.legacycommentsFAR 2014en_US
dash.contributor.affiliatedChesler, Paul
dash.contributor.affiliatedLucas, Andrew James
dash.contributor.affiliatedSachdev, Subir
dc.identifier.orcid0000-0003-3098-5683


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