Dynamic susceptibility and photoemission in the {ital t}{ital t}{prime}{ital J} model
Abstract
We consider the slavefermionSchwingerboson decomposition of a {ital t}{ital J} model for a twodimensional antiferromagnet in which the nextnearestneighbor hopping is taken into account by an explicit {ital t}{prime} term. This technique is particularly suitable to describe systems with low hole density, as in the parent phases of high{ital T}{sub {ital c}} superconducting (HTSC) materials, and we examine the experimental consequences of the model. Using meanfield states which admit finite spiral and offdiagonal order, we compute first the dynamic susceptibility {chi}({bold q},{omega}) from fluctuations in the boson (spin) degrees of freedom, and investigate a selected parameter regime for the model to seek features consistent with inelastic neutron scattering experiments on underdoped HTSC crystals. We find peaks in the scattered intensity at incommensurate wave vectors ({pi}{plus_minus}2{ital k}{sub 0},{plus_minus}{pi}) and ({pi},{plus_minus}{pi}{plus_minus}2{ital k}{sub 0}), but within our approximation the {bold q}integrated susceptibility as a function of frequency and temperature resembles that from spinwave theory, which does not contain the scaling behavior over all values of {omega}/{ital T} found experimentally. We show also the form of the nuclear magnetic resonance relaxation time {ital T}{sub 1}{sup {minus}1}({ital T}), which measures the zerofrequency limit of the susceptibility. The imaginary part of the physical electron Green functionmore »
 Authors:

 Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
 Publication Date:
 OSTI Identifier:
 54954
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, B: Condensed Matter
 Additional Journal Information:
 Journal Volume: 51; Journal Issue: 21; Other Information: PBD: 1 Jun 1995
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; HIGHTC SUPERCONDUCTORS; PHOTOEMISSION; MAGNETIC SUSCEPTIBILITY; STATISTICAL MODELS; TWODIMENSIONAL CALCULATIONS; INELASTIC SCATTERING; NEUTRON SPECTROSCOPY; RELAXATION TIME; MEANFIELD THEORY
Citation Formats
Normand, B, and Lee, P A. Dynamic susceptibility and photoemission in the {ital t}{ital t}{prime}{ital J} model. United States: N. p., 1995.
Web. doi:10.1103/PhysRevB.51.15519.
Normand, B, & Lee, P A. Dynamic susceptibility and photoemission in the {ital t}{ital t}{prime}{ital J} model. United States. https://doi.org/10.1103/PhysRevB.51.15519
Normand, B, and Lee, P A. Thu .
"Dynamic susceptibility and photoemission in the {ital t}{ital t}{prime}{ital J} model". United States. https://doi.org/10.1103/PhysRevB.51.15519.
@article{osti_54954,
title = {Dynamic susceptibility and photoemission in the {ital t}{ital t}{prime}{ital J} model},
author = {Normand, B and Lee, P A},
abstractNote = {We consider the slavefermionSchwingerboson decomposition of a {ital t}{ital J} model for a twodimensional antiferromagnet in which the nextnearestneighbor hopping is taken into account by an explicit {ital t}{prime} term. This technique is particularly suitable to describe systems with low hole density, as in the parent phases of high{ital T}{sub {ital c}} superconducting (HTSC) materials, and we examine the experimental consequences of the model. Using meanfield states which admit finite spiral and offdiagonal order, we compute first the dynamic susceptibility {chi}({bold q},{omega}) from fluctuations in the boson (spin) degrees of freedom, and investigate a selected parameter regime for the model to seek features consistent with inelastic neutron scattering experiments on underdoped HTSC crystals. We find peaks in the scattered intensity at incommensurate wave vectors ({pi}{plus_minus}2{ital k}{sub 0},{plus_minus}{pi}) and ({pi},{plus_minus}{pi}{plus_minus}2{ital k}{sub 0}), but within our approximation the {bold q}integrated susceptibility as a function of frequency and temperature resembles that from spinwave theory, which does not contain the scaling behavior over all values of {omega}/{ital T} found experimentally. We show also the form of the nuclear magnetic resonance relaxation time {ital T}{sub 1}{sup {minus}1}({ital T}), which measures the zerofrequency limit of the susceptibility. The imaginary part of the physical electron Green function is a convolution of both fermionic (hole) and bosonic Green functions, and so incorporates the effect of spin dynamics on the charge motion. We calculate the photoemitted intensity, a direct experimental measurement of this quantity, focusing on its behavior near the hole pockets at ({plus_minus}{pi}/2,{plus_minus}{pi}/2) which characterize this type of model. The peak photocurrent occurs not at the hole Fermi surface, but at points separated from it by {bold k}{sub 0} due to the boson incommensuration.},
doi = {10.1103/PhysRevB.51.15519},
url = {https://www.osti.gov/biblio/54954},
journal = {Physical Review, B: Condensed Matter},
number = 21,
volume = 51,
place = {United States},
year = {1995},
month = {6}
}