Abstract
A pair of recent Monte Carlo studies have reported evidence for and against a crossover from weak- to strong-disorder criticality in the one-dimensional dirty boson problem. The Monte Carlo analyses rely on measurement of two observables: the effective Luttinger parameter and the superfluid susceptibility . The former quantity was previously calculated analytically, using the strong-disorder renormalization group (SDRG), by Altman, Kafri, Polkovnikov, and Refael. Here, we use an extension of the SDRG framework to find a nonuniversal anomalous dimension characterizing the divergence of the susceptibility with system size, . We show that obeys the hyperscaling relation . We also identify an important obstacle to measuring this exponent on finite-size systems and comment on the implications for numerics and experiments.
- Received 2 August 2013
DOI:https://doi.org/10.1103/PhysRevB.88.220501
©2013 American Physical Society