Novel Crossover in Coupled Spin Ladders

Abstract

We report a novel crossover behavior in the long-range-ordered phase of a prototypical spin-$1/2$ Heisenberg antiferromagnetic ladder compound $({\mathrm{C}}_7{\mathrm{H}}_{10}\mathrm{N}{)}_2\mathrm{CuB}{\mathrm{r}}_4$. The staggered order was previously evidenced from a continuous and symmetric splitting of ${}^{14}$N NMR spectral lines on lowering temperature below $T_c\simeq 330$ mK, with a saturation towards $\simeq 150$ mK. Unexpectedly, the split lines begin to further separate away below $T^{\ast }\sim 100$ mK while the line width and shape remain completely invariable. This crossover behavior is further corroborated by the NMR relaxation rate $T_1^{-1}$ measurements. A very strong suppression reflecting the ordering, $T_1^{-1}\sim T^{5.5}$, observed above $T^{\ast }$, is replaced by $T_1^{-1}\sim T$ below $T^{\ast }$. These original NMR features are indicative of unconventional nature of the crossover, which may arise from a unique arrangement of the ladders into a spatially anisotropic and frustrated coupling network.

arXiv comment5 pages, 3 figures

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• Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
• Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
• Dynamical response and dimensional crossover for spatially anisotropic antiferromagnets
• Dimensional crossover and phase transitions in coupled chains: Density matrix renormalization group results
• Singlet ground state in the alternating spin-$1/2$ chain compound NaVOAsO${}_4$
• Pre-saturation phase in the frustrated ferro-antiferromagnet Pb${}_2$VO(PO${}_4$)${}_2$
• Detection of a Disorder-Induced Bose-Einstein Condensate in a Quantum Spin Material at High Magnetic Fields
• Two types of alternating spin-$\frac{1}{2}$ chains and their field-induced transitions in $\epsilon$-LiVOPO${}_4$
• Novel magnetic field tuning of quantum spin excitations in a weakly coupled $S=$1/2 Heisenberg spin chain as seen from NMR
• Competing magnetic phases in the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$ probed by NMR
• Dynamics and field-induced order in the layered spin $S=1/2$ dimer system (C${}_5$H${}_6$N${}_2$F)${}_2$CuCl${}_4$
• Properties of an organic model $S=1$ Haldane chain system
• Magnetic and phononic dynamics in the two-ladder quantum magnet (C5H9NH3)2CuBr4
• Narrowly avoided spin-nematic phase in BaCdVO(PO${}_4$)${}_2$: NMR evidence