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Title: Effect of the multiorbital structure of Cu{sup 2+} ions on the model Hamiltonian for superconducting cuprate oxides

Abstract

We propose a microscopic model of a CuO{sub 2} plane which includes the essential features of the multiorbital structure of Cu{sup 2+} ions and preserves the translational invariance of the lattice. We perform the second-order perturbation theory in the hybridization parameter by writing it in terms of a generalized Schrieffer-Wolf canonical transformation and derive the effective Hamiltonian for a {ital p}-{ital d} spin-spin interaction. The form of this effective Hamiltonian is shown to be modified by the complex structure of Cu{sup 2+} ions and is directly compared with simpler commonly used models. We emphasize inconsistencies of these models and raise questions on their applicability.

Authors:
 [1]
  1. Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, 00-681 Warszawa (Poland)
Publication Date:
OSTI Identifier:
142617
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 49; Journal Issue: 10; Other Information: PBD: 1 Mar 1994
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; HIGH-TC SUPERCONDUCTORS; PERTURBATION THEORY; CUPRATES; COPPER IONS; HAMILTONIANS; CANONICAL TRANSFORMATIONS; HYBRIDIZATION

Citation Formats

Tworzydlo, J. Effect of the multiorbital structure of Cu{sup 2+} ions on the model Hamiltonian for superconducting cuprate oxides. United States: N. p., 1994. Web. doi:10.1103/PhysRevB.49.6927.
Tworzydlo, J. Effect of the multiorbital structure of Cu{sup 2+} ions on the model Hamiltonian for superconducting cuprate oxides. United States. doi:10.1103/PhysRevB.49.6927.
Tworzydlo, J. Tue . "Effect of the multiorbital structure of Cu{sup 2+} ions on the model Hamiltonian for superconducting cuprate oxides". United States. doi:10.1103/PhysRevB.49.6927.
@article{osti_142617,
title = {Effect of the multiorbital structure of Cu{sup 2+} ions on the model Hamiltonian for superconducting cuprate oxides},
author = {Tworzydlo, J.},
abstractNote = {We propose a microscopic model of a CuO{sub 2} plane which includes the essential features of the multiorbital structure of Cu{sup 2+} ions and preserves the translational invariance of the lattice. We perform the second-order perturbation theory in the hybridization parameter by writing it in terms of a generalized Schrieffer-Wolf canonical transformation and derive the effective Hamiltonian for a {ital p}-{ital d} spin-spin interaction. The form of this effective Hamiltonian is shown to be modified by the complex structure of Cu{sup 2+} ions and is directly compared with simpler commonly used models. We emphasize inconsistencies of these models and raise questions on their applicability.},
doi = {10.1103/PhysRevB.49.6927},
journal = {Physical Review, B: Condensed Matter},
number = 10,
volume = 49,
place = {United States},
year = {1994},
month = {3}
}