Abstract

The superfluid to insulator quantum phase transition of a three-dimensional particle-hole symmetric system of disordered bosons is studied. To this end, a site-diluted quantum rotor Hamiltonian is mapped onto a classical (3+1)-dimensional XY model with columnar disorder and analyzed by means of large-scale Monte Carlo simulations. The superfluid-Mott insulator transition of the clean, undiluted system is in the four-dimensional XY universality class and shows mean-field critical behavior with logarithmic corrections. The clean correlation length exponent ν=1/2 violates the Harris criterion, indicating that disorder must be a relevant perturbation. For nonzero dilutions below the lattice percolation threshold of pc=0.688392, our simulations yield conventional power-law critical behavior with dilution-independent critical exponents z=1.67(6), ν=0.90(5), β/ν=1.09(3), and γ/ν=2.50(3). The critical behavior of the transition across the lattice percolation threshold is controlled by the classical percolation exponents. Our results are discussed in the context of a classification of disordered quantum phase transitions, as well as experiments in superfluids, superconductors, and magnetic systems.

Department(s)

Physics

Comments

This work was supported in part by the NSF under Grants No. PHY-1125915 and No. DMR-1506152. T.V. acknowledges the hospitality of the Kavli Institute for Theoretical Physics, where part of the work was performed.

Keywords and Phrases

Quantum phase Transittras; Superfluidity; Quantum fluids and solids; Superconductors (materials); Insulators; Disordered superconductors

International Standard Serial Number (ISSN)

2469-9950; 2469-9969

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2018 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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