Beyond mean field theory: a way from braids and knots
to quantum dimers
Alexander Protogenov
Russian Academy of Sciences, Institute of Applied Physics, Nizhny Novgorod, Russian Federation
We consider inhomogeneous current states in both framework
of two-component Ginzburg-Landau model and in 2D lattice.
We demonstrate also the mapping of toroid current states
into quantum dimer states of the exact solvable
Roksar-Kivelson-like model.