Person:
Chesler, Paul

Profile Picture

Email Address

AA Acceptance Date

Birth Date

Research Projects

Organizational Units

Job Title

Last Name

Chesler

First Name

Paul

Name

Chesler, Paul

Filters

20141

Settings

Author's Publications: search.filters.isAuthorOfPublication.ed32a82a-1d8c-4285-acc4-5d492ca88942

Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    Publication
    Conformal field theories in a periodic potential: Results from holography and field theory
    (American Physical Society (APS), 2014) Chesler, Paul; Lucas, Andrew James; Sachdev, Subir
    We 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.