Quantum critical dynamics and scaling in one-dimensional antiferromagnets

Abstract

For a number of quantum critical points in one dimension quantum field theory has provided exact results for the scaling of spatial and temporal correlation functions. Experimental realizations of these models can be found in certain quasi one dimensional antiferromagnetc materials. Measuring the predicted scaling laws experimentally presents formidable technical challenges. In many cases it only became possible recently, thanks to qualitative progress in the development of inelastic neutron scattering techniques and to the discovery of new model compounds. Here we review some of the recent experimental studies of this type.

Review article for an upcoming special issue of JETP dedicated to the centennial of Andrey Stanislavovich Borovik-Romanov

References in corpus (10)

• Quantum criticality
• Field-induced Tomonaga-Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions
• Quantum criticality in the spin-$1/2$ Heisenberg chain system copper pyrazine dinitrate
• Quantum spin chains with frustration due to Dzyaloshinskii-Moriya interactions
• Scaling of temporal correlations in an attractive Tomonaga-Luttinger spin liquid
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• Finite-temperature correlations in a quantum spin chain near saturation
• Finite-size effects in the quasi-one-dimensional quantum magnets Sr${}_2$CuO${}_3$, Sr${}_2$Cu${}_{0.99}$M${}_{0.01}$O${}_3$ (M = Ni, Zn), and SrCuO${}_2$
• Low-energy excitations in the magnetized state of the bond-alternating quantum S=1 chain system NTENP
• Spin pseudogap in the $S=\frac{1}{2}$ chain material Sr${}_2$CuO${}_3$ with impurities