Critical capacitance and charge-vortex duality near the superfluid-to-insulator transition

Snir Gazit, Daniel Podolsky, Assa Auerbach

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


Using a generalized reciprocity relation between charge and vortex conductivities at complex frequencies in two space dimensions, we identify the capacitance in the insulating phase as a measure of vortex condensate stiffness. We compute the ratio of boson superfluid stiffness to vortex condensate stiffness at mirror points to be 0.21(1) for the relativistic O(2) model. The product of dynamical conductivities at mirror points is used as a quantitative measure of deviations from self-duality between charge and vortex theories. We propose the finite wave vector compressibility as an experimental measure of the vortex condensate stiffness for neutral lattice bosons.

Original languageAmerican English
Article number240601
JournalPhysical Review Letters
Issue number24
StatePublished - 8 Dec 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014 American Physical Society.


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