Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates
Abstract
Linear response theory, commonly known as the randomphase approximation (RPA), predicts a rich magnetic excitation spectrum for dwave superconductors. Many of the features predicted by such calculations appear to be reflected in inelastic neutronscattering data of the cuprates. In this paper, I will present results from RPA calculations whose input is based on angleresolved photoemission data, and discuss possible relevance to inelastic neutronscattering data of La{sub 2x}Sr{sub x}CuO{sub 4} (LSCO), YBa{sub 2}Cu{sub 3}O{sub 6+x} (YBCO), and Bi{sub 2}Sr{sub 2}CaCu{sub 2}O{sub 8+x} (Bi2212) in their superconducting and nonsuperconducting phases. In particular, the question of the universality of the magnetic excitation spectrum will be addressed.
 Authors:
 Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
 Publication Date:
 OSTI Identifier:
 20951420
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 75; Journal Issue: 18; Other Information: DOI: 10.1103/PhysRevB.75.184514; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; BARIUM OXIDES; BISMUTH OXIDES; CALCIUM OXIDES; COPPER OXIDES; CUPRATES; D WAVES; EXCITATION; HIGHTC SUPERCONDUCTORS; INELASTIC SCATTERING; LANTHANUM COMPOUNDS; NEUTRON DIFFRACTION; NEUTRON REACTIONS; PHOTOELECTRON SPECTROSCOPY; PHOTOEMISSION; RANDOM PHASE APPROXIMATION; SPECTRA; STRONTIUM OXIDES; SUPERCONDUCTIVITY; YTTRIUM OXIDES
Citation Formats
Norman, M. R. Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVB.75.184514.
Norman, M. R. Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates. United States. doi:10.1103/PHYSREVB.75.184514.
Norman, M. R. Tue .
"Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates". United States.
doi:10.1103/PHYSREVB.75.184514.
@article{osti_20951420,
title = {Linear response theory and the universal nature of the magnetic excitation spectrum of the cuprates},
author = {Norman, M. R.},
abstractNote = {Linear response theory, commonly known as the randomphase approximation (RPA), predicts a rich magnetic excitation spectrum for dwave superconductors. Many of the features predicted by such calculations appear to be reflected in inelastic neutronscattering data of the cuprates. In this paper, I will present results from RPA calculations whose input is based on angleresolved photoemission data, and discuss possible relevance to inelastic neutronscattering data of La{sub 2x}Sr{sub x}CuO{sub 4} (LSCO), YBa{sub 2}Cu{sub 3}O{sub 6+x} (YBCO), and Bi{sub 2}Sr{sub 2}CaCu{sub 2}O{sub 8+x} (Bi2212) in their superconducting and nonsuperconducting phases. In particular, the question of the universality of the magnetic excitation spectrum will be addressed.},
doi = {10.1103/PHYSREVB.75.184514},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 18,
volume = 75,
place = {United States},
year = {Tue May 01 00:00:00 EDT 2007},
month = {Tue May 01 00:00:00 EDT 2007}
}

Linear response theory, commonly known as the randomphase approximation (RPA), predicts a rich magnetic excitation spectrum for dwave superconductors. Many of the features predicted by such calculations appear to be reflected in inelastic neutronscattering data of the cuprates. In this paper, I will present results from RPA calculations whose input is based on angleresolved photoemission data, and discuss possible relevance to inelastic neutronscattering data of La{sub 2x}Sr{sub x}CuO{sub 4} (LSCO), YBa{sub 2}Cu{sub 3}O{sub 6+x} (YBCO), and Bi{sub 2}Sr{sub 2}CaCu{sub 2}O{sub 8+x} (Bi2212) in their superconducting and nonsuperconducting phases. In particular, the question of the universality of the magnetic excitation spectrummore »

How accurate is the strongly orthogonal geminal theory in predicting excitation energies? Comparison of the extended random phase approximation and the linear response theory approaches
Performance of the antisymmetrized product of strongly orthogonal geminal (APSG) ansatz in describing ground states of molecules has been extensively explored in the recent years. Not much is known, however, about possibilities of obtaining excitation energies from methods that would rely on the APSG ansatz. In the paper we investigate the recently proposed extended random phase approximations, ERPA and ERPA2, that employ APSG reduced density matrices. We also propose a timedependent linear response APSG method (TDAPSG). Its relation to the recently proposed phase including natural orbital theory is elucidated. The methods are applied to Li{sub 2}, BH, H{sub 2}O, andmore » 
Linear dichroism and the nature of charge order in underdoped cuprates
Recent experiments have addressed the nature of the charge order seen in underdoped cuprates. In this paper, I show that xray absorption and linear dichroism are excellent probes of such order. Ab initio calculations reveal that a dwave charge density wave order involving the oxygen ions is a much better description of the data than alternate models.Cited by 2 
Calculation of excitation energies from the CC2 linear response theory using Cholesky decomposition
A new implementation of the approximate coupled cluster singles and doubles CC2 linear response model is reported. It employs a Cholesky decomposition of the twoelectron integrals that significantly reduces the computational cost and the storage requirements of the method compared to standard implementations. Our algorithm also exploits a partitioning form of the CC2 equations which reduces the dimension of the problem and avoids the storage of doubles amplitudes. We present calculation of excitation energies of benzene using a hierarchy of basis sets and compare the results with conventional CC2 calculations. The reduction of the scaling is evaluated as well asmore »