Emergence of Luttinger liquid behavior of a superclimbing dislocation
AbstractA generic edge dislocation with superfluid core in solid He4 represents a non-Luttinger liquid according to the elementary scaling dimensional analysis because its compressibility is giant, that is, it diverges as square of the dislocation length. Monte Carlo simulations, however, reveal that such a dislocation develops finite compressibility as temperature is lowered. Furthermore, for certain parameters the dislocation can undergo a transition into insulating state regardless of the filling factor. External macroscopically small bias by chemical potential can restore the giant compressibility. Experimental verifications of these features are proposed in connection with the ongoing efforts to understand the superflow-through-solid as well as the syringe effects in solid He4.