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Title: Dynamic susceptibility and photoemission in the {ital t}-{ital t}{prime}-{ital J} model

Abstract

We consider the slave-fermion--Schwinger-boson decomposition of a {ital t}-{ital J} model for a two-dimensional antiferromagnet in which the next-nearest-neighbor 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 mean-field states which admit finite spiral and off-diagonal 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 spin-wave 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 zero-frequency limit of the susceptibility. The imaginary part of the physical electron Green functionmore » 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.« less

Authors:
;  [1]
  1. 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; HIGH-TC SUPERCONDUCTORS; PHOTOEMISSION; MAGNETIC SUSCEPTIBILITY; STATISTICAL MODELS; TWO-DIMENSIONAL CALCULATIONS; INELASTIC SCATTERING; NEUTRON SPECTROSCOPY; RELAXATION TIME; MEAN-FIELD 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 slave-fermion--Schwinger-boson decomposition of a {ital t}-{ital J} model for a two-dimensional antiferromagnet in which the next-nearest-neighbor 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 mean-field states which admit finite spiral and off-diagonal 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 spin-wave 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 zero-frequency 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}
}