Quantum Critical Scaling of Dirty Bosons in Two Dimensions

Ray Ng and Erik S. Sørensen
Phys. Rev. Lett. 114, 255701 – Published 23 June 2015
PDFHTMLExport Citation

Abstract

We determine the dynamical critical exponent z appearing at the Bose glass to superfluid transition in two dimensions by performing large scale numerical studies of two microscopically different quantum models within the universality class: The hard-core boson model and the quantum rotor (soft core) model, both subject to strong on-site disorder. By performing many simulations at different system size L and inverse temperature β close to the quantum critical point, the position of the critical point and the critical exponents, z, ν, and η can be determined independently of any implicit assumptions of the numerical value of z, in contrast to most prior studies. This is done by a careful scaling analysis close to the critical point with a particular focus on the temperature dependence of the scaling functions. For the hard-core boson model we find z=1.88(8), ν=0.99(3), and η=0.16(8) with a critical field of hc=4.79(3), while for the quantum rotor model we find z=1.99(5), ν=1.00(2), and η=0.3(1) with a critical hopping parameter of tc=0.0760(5). In both cases do we find a correlation length exponent consistent with ν=1, saturating the bound ν2/d as well as a value of z significantly larger than previous studies, and for the quantum rotor model consistent with z=d.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 23 January 2015

DOI:https://doi.org/10.1103/PhysRevLett.114.255701

© 2015 American Physical Society

Authors & Affiliations

Ray Ng* and Erik S. Sørensen

  • Department of Physics and Astronomy, McMaster University, 1280 Main Street West L8S 4M1 Hamilton, Ontario, Canada

  • *ngry@mcmaster.ca
  • sorensen@mcmaster.ca

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 114, Iss. 25 — 26 June 2015

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×