Persistent current in quantum torus knots
  I consider the quantum interference of electrons moving along knotted trajectories under external magnetic field. The induced persistent current is formulated in terms of characteristic parameters that classify the torus knot geometry. The current is found to show a periodic oscillation whose period depends strongly both on the knot's class and the field direction. The shift in the oscillation period caused by geometric distortion is also discussed. 
Hiroyuki Shima
quant-ph cond-mat.mes-hall math-ph math.MP