TY - JOUR
T1 - Critical capacitance and charge-vortex duality near the superfluid-to-insulator transition
AU - Gazit, Snir
AU - Podolsky, Daniel
AU - Auerbach, Assa
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/12/8
Y1 - 2014/12/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84918556981&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.113.240601
DO - 10.1103/PhysRevLett.113.240601
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AN - SCOPUS:84918556981
SN - 0031-9007
VL - 113
JO - Physical Review Letters
JF - Physical Review Letters
IS - 24
M1 - 240601
ER -