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Published on: August 2, 2019
Critical capacitance and charge-vortex duality near the superfluid-to-insulator transition
Snir Gazit1, Daniel Podolsky1, Assa Auerbach1
1Physics Department, Technion-Israel Institute of Technology, 32000 Haifa, Israel.
Abstract:
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.
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