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Title: Magnetic scaling in cuprate superconductors

Abstract

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 regimemore » 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.« less

Authors:
;  [1]
  1. Department of Physics and Science and Technology Center for Superconductivity, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080 (United States)
Publication Date:
OSTI Identifier:
122340
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 52; Journal Issue: 18; Other Information: PBD: 1 Nov 1995
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; HIGH-TC SUPERCONDUCTORS; MAGNETIC PROPERTIES; BARIUM OXIDES; COPPER OXIDES; FERMI GAS; LANTHANUM OXIDES; NMR SPECTRA; PHASE DIAGRAMS; SCALING LAWS; SIGMA MODEL; STRONTIUM OXIDES; YTTRIUM OXIDES

Citation Formats

Barzykin, V, and Pines, D. Magnetic scaling in cuprate superconductors. United States: N. p., 1995. Web. doi:10.1103/PhysRevB.52.13585.
Barzykin, V, & Pines, D. Magnetic scaling in cuprate superconductors. United States. doi:10.1103/PhysRevB.52.13585.
Barzykin, V, and Pines, D. Wed . "Magnetic scaling in cuprate superconductors". United States. doi:10.1103/PhysRevB.52.13585.
@article{osti_122340,
title = {Magnetic scaling in cuprate superconductors},
author = {Barzykin, V and Pines, D},
abstractNote = {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.},
doi = {10.1103/PhysRevB.52.13585},
journal = {Physical Review, B: Condensed Matter},
number = 18,
volume = 52,
place = {United States},
year = {1995},
month = {11}
}