Magnetic scaling in cuprate superconductors
- Department of Physics and Science and Technology Center for Superconductivity, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080 (United States)
We determine the magnetic phase diagram for the YBa{sub 2}Cu{sub 3}O{sub 6+{ital x}} and La{sub 2{minus}{ital x}}Sr{sub {ital x}}CuO{sub 4} systems from various NMR experiments. We discuss the possible interpretation of NMR and neutron scattering experiments in these systems in terms of both the nonlinear {sigma} model of nearly localized spins and a nearly antiferromagnetic Fermi liquid description of magnetically coupled quasiparticles. We show for both the 2:1:4 and 1:2:3 systems that bulk properties, such as the spin susceptibiltiy, and probes at the antiferromagnetic wave vector ({pi},{pi}), such as {sup 63}{ital T}{sub 1}, the {sup 63}Cu spin-lattice relaxation time, both display a crossover at a temperature {ital T}{sub cr}, which increases linearly with decreasing hole concentration, from a nonuniversal regime to a {ital z}=1 scaling regime characterized by spin pseudogap behavior. We pursue the consequences of the ansatz that {ital T}{sub cr} corresponds to a fixed value of the antiferromagnetic correlation length {xi} and show how this enables one to extract the magnitude and temperature dependence of {xi} from measurements of {ital T}{sub 1} alone. We show that like {ital T}{sub cr}, the temperature {ital T}{sub *} which marks a crossover at low temperatures from the {ital z}=1 scaling regime to a quantum disordered regime, exhibits the same dependence on doping for the 2:1:4 and 1:2:3 systems, and so arrive at a unified description of magnetic behavior in the cuprates, in which the determining factor is the planar hole concentration.
- OSTI ID:
- 122340
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 52, Issue 18; Other Information: PBD: 1 Nov 1995
- Country of Publication:
- United States
- Language:
- English
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