Greschner S, Vekua T
Institut für Theoretische Physik, Leibniz Universität Hannover, 30167 Hannover, Germany.
James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA.
Phys Rev Lett. 2017 Aug 18;119(7):073401. doi: 10.1103/PhysRevLett.119.073401.
Two-leg bosonic ladders with flux harbor a remarkable vortex-hole duality between the weak-coupling vortex lattice superfluids and strong-coupling charge-density-wave crystals. The strong-coupling crystalline states, which are realized in the vicinity of π flux, are independent of particle statistics, and are related to the incompressible fractional quantum Hall states in the thin-cylinder limit. These fully gapped ground states, away from π flux, develop nonzero chiral (spin) currents. Contact-interacting quantum gases permit exploration of this vortex-hole duality in experiments.