Quantum criticality and universal scaling of a quantum antiferromagnet
arXiv:cond-mat/0501069 · doi:10.1038/nmat1327
Abstract
Quantum effects dominate the behaviour of many diverse materials. Of particular current interest are those systems in the vicinity of a quantum critical point (QCP). Their physical properties are predicted to reflect those of the nearby QCP with universal features independent of the microscopic details. The prototypical QCP is the Luttinger liquid (LL) which is of relevance to many quasi-one-dimensional materials. The magnetic material KCuF3 realizes an array of weakly-coupled spin chains (or LLs) and thus lies close to but not exactly at the Luttinger liquid quantum critical point. By using inelastic neutron scattering we have collected a complete data set of the magnetic correlations of KCuF3 as a function of momentum, energy, and temperature. The LL description is found to be valid over an extensive range of these parameters, and departures from this behaviour at high and low energies and temperatures have been identified and explained.
arXiv comment12 pages, 4 figures. To be published in Nature Materials
References in corpus (8)
- Bosonization and Strongly Correlated Systems
- Onset of antiferromagnetism in heavy fermion metals
- Quantum Criticality: competing ground states in low dimensions
- Dynamics of coupled quantum spin chains
- Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
- A Novel Longitudinal Mode in the Coupled Quantum Chain Compound KCuF3
- Quasi-1D spin-1/2 Heisenberg magnets in their ordered phase: correlation functions
- Finite-temperature perturbation theory for quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets
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