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Title: Influence of next-nearest-neighbor electron hopping on the static and dynamical properties of the two-dimensional Hubbard model

Abstract

Comparing experimental data for high-{ital T}{sub {ital c}} cuprate superconductors with numerical results for electronic models, it is becoming apparent that a hopping along the plaquette diagonals has to be included to obtain quantitative agreement. However, the values for {ital t}{sup {prime}} discussed in the literature were obtained comparing theoretical results in the weak-coupling limit with photoemission data and band-structure calculations. The goal of this paper is to study how {ital t}{sup {prime}} gets renormalized as the interaction between electrons, {ital U}, increases. For this purpose, the effect of adding a bare diagonal hopping {ital t}{sup {prime}} to the two-dimensional Hubbard model Hamiltonian is investigated using numerical techniques. Spin-spin correlations, {ital n}(k), {l_angle}{ital n}{r_angle} vs {mu}, and local magnetic moments are studied for several values of {ital U}/{ital t} and the electronic density. The spectral function {ital A}(k,{omega}) is also discussed. We introduce a criterion to determine probable locations of Fermi surfaces at zero temperature. In general, we conclude that it is very dangerous to extract a bare parameter of the Hamiltonian ({ital t}{sup {prime}}) from photoemission spectroscopy data where renormalized parameters play the important role.

Authors:
;  [1]
  1. Department of Physics, National High Magnetic Field Laboratory and MARTECH, Florida State University, Tallahassee, Florida 32306 (United States)
Publication Date:
OSTI Identifier:
132874
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 52; Journal Issue: 21; Other Information: PBD: 1 Dec 1995
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; HIGH-TC SUPERCONDUCTORS; ELECTRONIC STRUCTURE; MAGNETIC PROPERTIES; ELECTRIC CONDUCTIVITY; FERMI LEVEL; HUBBARD MODEL; TEMPERATURE ZERO K

Citation Formats

Duffy, D, and Moreo, A. Influence of next-nearest-neighbor electron hopping on the static and dynamical properties of the two-dimensional Hubbard model. United States: N. p., 1995. Web. doi:10.1103/PhysRevB.52.15607.
Duffy, D, & Moreo, A. Influence of next-nearest-neighbor electron hopping on the static and dynamical properties of the two-dimensional Hubbard model. United States. https://doi.org/10.1103/PhysRevB.52.15607
Duffy, D, and Moreo, A. Fri . "Influence of next-nearest-neighbor electron hopping on the static and dynamical properties of the two-dimensional Hubbard model". United States. https://doi.org/10.1103/PhysRevB.52.15607.
@article{osti_132874,
title = {Influence of next-nearest-neighbor electron hopping on the static and dynamical properties of the two-dimensional Hubbard model},
author = {Duffy, D and Moreo, A},
abstractNote = {Comparing experimental data for high-{ital T}{sub {ital c}} cuprate superconductors with numerical results for electronic models, it is becoming apparent that a hopping along the plaquette diagonals has to be included to obtain quantitative agreement. However, the values for {ital t}{sup {prime}} discussed in the literature were obtained comparing theoretical results in the weak-coupling limit with photoemission data and band-structure calculations. The goal of this paper is to study how {ital t}{sup {prime}} gets renormalized as the interaction between electrons, {ital U}, increases. For this purpose, the effect of adding a bare diagonal hopping {ital t}{sup {prime}} to the two-dimensional Hubbard model Hamiltonian is investigated using numerical techniques. Spin-spin correlations, {ital n}(k), {l_angle}{ital n}{r_angle} vs {mu}, and local magnetic moments are studied for several values of {ital U}/{ital t} and the electronic density. The spectral function {ital A}(k,{omega}) is also discussed. We introduce a criterion to determine probable locations of Fermi surfaces at zero temperature. In general, we conclude that it is very dangerous to extract a bare parameter of the Hamiltonian ({ital t}{sup {prime}}) from photoemission spectroscopy data where renormalized parameters play the important role.},
doi = {10.1103/PhysRevB.52.15607},
url = {https://www.osti.gov/biblio/132874}, journal = {Physical Review, B: Condensed Matter},
number = 21,
volume = 52,
place = {United States},
year = {1995},
month = {12}
}