Nearly antiferromagnetic Fermi-liquid description of magnetic scaling and spin-gap behavior

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.16015· OSTI ID:7093881

Monthoux, P ^[1]; Pines, D ^[2]

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1. Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 (United States)
2. Physics Department, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 (United States)

We present a Fermi-liquid description of magnetic scaling and spin-gap behavior in strongly correlated electron systems. We show that a gap in the spin-excitation spectrum is a natural consequence of the existence of a second energy scale of magnetic origin, in systems of itinerant, but nearly localized electron spins, such as are found in the cuprate superconductors and heavy-electron systems. A second energy scale leads to a frequency-dependent restoring force [ital f][sup [ital a]]([bold q],[omega]) that becomes stronger as the frequency increases. A spin gap at [bold Q]=([pi]/[ital a],[pi]/[ital a]) is a consequence of these frequency-dependent vertex corrections; it takes on a constant value when the antiferromagnetic correlation length becomes a constant. We show that the spin-spin response function reduces to that recently introduced by Barzykin to describe the damping by particle-hole excitations of the spin-wave spectrum found in the [ital N]=[infinity] quantum nonlinear [sigma] model. We discuss fully doped and underdoped cuprate superconductors, the appearance of a pseudogap of magnetic origin in the quasiparticle density of states in the underdoped system, and the constraints nuclear magnetic resonance and neutron-scattering experiments impose on the magnitude and temperature dependence of the Fermi-liquid parameters.

• OSTI ID: 7093881
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:21; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
CORRELATIONS
ELECTRON CORRELATION
ENERGY GAP
FERMI GAS
FLUIDS
GASES
HIGH-TC SUPERCONDUCTORS
HOLES
MAGNETIC PROPERTIES
MAGNETISM
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
SCALING
SUPERCONDUCTORS