Bose and Mott Glass Phases in Dimerized Quantum Antiferromagnets

Abstract

We examine the effects of disorder on dimerized quantum antiferromagnets in a magnetic field, using the mapping to a lattice gas of hard-core bosons with finite-range interactions. Combining a strong-coupling expansion, the replica method, and a one-loop renormalization group analysis, we investigate the nature of the glass phases formed. We find that away from the tips of the Mott lobes, the transition is from a Mott insulator to a compressible Bose glass, however the compressibility at the tips is strongly suppressed. We identify this finding with the presence of a rare Mott glass phase not previously described by any analytic theory for this model and demonstrate that the inclusion of replica symmetry breaking is vital to correctly describe the glassy phases. This result suggests that the formation of Bose and Mott glass phases is not simply a weak localization phenomenon but is indicative of much richer physics. We discuss our results in the context of both ultracold atomic gases and spin-dimer materials.

10 pages (including supplementary material), 3 figures

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• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Quench Spectroscopy of a Disordered Quantum System
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Mixed-spin system with supersolid phases: Magnetocaloric effect and thermal properties
• Superfluid density and compressibility at the superfluid-Mott glass transition
• Self-consistent T-matrix approach to gap renormalization in quantum magnets with bond disorder