Bose glass behavior in (Yb${}_{1-x}$Lu${}_x$)${}_4$As${}_3$ representing the randomly diluted quantum spin-1/2 chains

Abstract

The site-diluted compound (Yb${}_{1-x}$Lu${}_x$)${}_4$As${}_3$ is a scarce realization of the linear Heisenberg antiferromagnet partitioned into finite-size segments and is an ideal model compound for studying field-dependent effects of quenched disorder in the one-dimensional antiferromagnets. It differentiates from the systems studied so far in two aspects - the type of randomness and the nature of the energy gap in the pure sample. We have measured the specific heat of single-crystal (Yb${}_{1-x}$Lu${}_x$)${}_4$As${}_3$ in magnetic fields up to 19.5 T. The contribution $C_{\perp }$ arising from the magnetic subsystem in an applied magnetic field perpendicular to the chains is determined. Compared to pure Yb${}_4$As${}_3$, for which $C_{\perp }$ indicates a gap opening, for diluted systems a non-exponential decay is found at low temperatures which is consistent with the thermodynamic scaling of the specific heat established for a Bose-glass phase.

8 pages, 17 figures, including supplemental material, accepted for PRB rapid communication

References in corpus (3)

• Bose-Einstein Condensation in Magnetic Insulators
• Universal temperature dependence of the magnetization of gapped spin chains
• The insulating phases and superfluid-insulator transition of disordered boson chains

Cited by in corpus (1)

• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension