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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.
Physical Review Letters
|December 27, 2014
Summary
The capacitance in the insulating phase measures vortex condensate stiffness. This study quantifies the ratio of boson superfluid stiffness to vortex condensate stiffness in the relativistic O(2) model.
Area of Science:
- Condensed Matter Physics
- Quantum Field Theory
Background:
- Understanding the behavior of superfluids and insulators in two dimensions is crucial.
- Vortex condensates and charge conductivities play key roles in these systems.
Purpose of the Study:
- To establish a generalized reciprocity relation between charge and vortex conductivities.
- To identify capacitance as a measure of vortex condensate stiffness in the insulating phase.
- To quantitatively assess deviations from self-duality in charge and vortex theories.
Main Methods:
- Utilizing a generalized reciprocity relation for charge and vortex conductivities at complex frequencies.
- Computing the ratio of boson superfluid stiffness to vortex condensate stiffness at mirror points.
- Analyzing the product of dynamical conductivities at mirror points.
Main Results:
- Capacitance in the insulating phase is identified as a measure of vortex condensate stiffness.
- The ratio of boson superfluid stiffness to vortex condensate stiffness is calculated as 0.21(1) for the relativistic O(2) model.
- The product of dynamical conductivities quantifies deviations from self-duality.
Conclusions:
- The study provides a new understanding of vortex condensate stiffness and its relation to capacitance.
- A quantitative measure for deviations from self-duality in related theories is established.
- Finite wave vector compressibility is proposed as an experimental probe for vortex condensate stiffness in neutral lattice bosons.
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