Tuning the disorder of superglasses

Abstract

We study the interplay of superfluidity, glassy and magnetic orders of hardcore bosons with random frustrating interactions. In the classical limit, this model reduces to a $\pm J$ Edwards-Anderson Ising model with concentration $p$ of the ferromagnetic bonds, which hosts a glassy-ferromagnetic transition at a critical concentration $p_c^{\mathrm{cl}}\sim 0.77$ on a 3D cubic lattice. Our quantum Monte Carlo simulation results using the worm algorithm show that quantum fluctuations stabilize the coexistence of superfluidity and glassy order ("superglass"), and shift the (super)glassy-ferromagnetic transition to $p_c>p_c^{\mathrm{cl}}$. In contrast, antiferromagnetic order coexists with superfluidity to form a supersolid, and the transition to the glassy phase occurs at a higher $p$.

6 pages, 5 figures

References in corpus (8)

• Disorder and the Supersolid State of Solid ${}^4$He
• Evidence for a Superglass State in Solid 4He
• The critical behavior of three-dimensional Ising spin glass models
• Theory of the superglass phase
• The 3D +-J Ising model at the ferromagnetic transition line
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Ferromagnetic-glassy transitions in three-dimensional Ising spin glasses
• Mean field theory of superglasses

Cited by in corpus (4)

• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Superglass phase of interaction-blockaded gases on a triangular lattice
• Quantum Cluster Quasicrystals
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice