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Title: Spectral functions of the one-dimensional Hubbard model in the U{r_arrow}+{infinity} limit: How to use the factorized wave function

Abstract

We give the details of the calculation of the spectral functions of the one-dimensional Hubbard model using the spin-charge factorized wave function for several versions of the U{r_arrow}+{infinity} limit. The spectral functions are expressed as a convolution of charge and spin dynamical correlation functions. A procedure to evaluate these correlation functions very accurately for large systems is developed, and analytical results are presented for the low-energy region. These results are fully consistent with the conformal field theory. We also propose a direct method of extracting the exponents from the matrix elements in more general cases. {copyright} {ital 1997} {ital The American Physical Society}

Authors:
;  [1];  [2];  [3]
  1. Max-Planck-Institut fuer Physik Komplexer Systeme, Bayreuther Strasse 40, 01187 Dresden (Germany)
  2. Laboratoire de Physique Quantique, Universite Paul Sabatier, 31062 Toulouse (France)
  3. Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152 (Japan)
Publication Date:
OSTI Identifier:
530200
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 55; Journal Issue: 23; Other Information: PBD: Jun 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; HUBBARD MODEL; ONE-DIMENSIONAL CALCULATIONS; MATRIX ELEMENTS; WAVE FUNCTIONS; CORRELATION FUNCTIONS; SPIN; PHOTOEMISSION

Citation Formats

Penc, K, Hallberg, K, Mila, F, and Shiba, H. Spectral functions of the one-dimensional Hubbard model in the U{r_arrow}+{infinity} limit: How to use the factorized wave function. United States: N. p., 1997. Web. doi:10.1103/PhysRevB.55.15475.
Penc, K, Hallberg, K, Mila, F, & Shiba, H. Spectral functions of the one-dimensional Hubbard model in the U{r_arrow}+{infinity} limit: How to use the factorized wave function. United States. https://doi.org/10.1103/PhysRevB.55.15475
Penc, K, Hallberg, K, Mila, F, and Shiba, H. Sun . "Spectral functions of the one-dimensional Hubbard model in the U{r_arrow}+{infinity} limit: How to use the factorized wave function". United States. https://doi.org/10.1103/PhysRevB.55.15475.
@article{osti_530200,
title = {Spectral functions of the one-dimensional Hubbard model in the U{r_arrow}+{infinity} limit: How to use the factorized wave function},
author = {Penc, K and Hallberg, K and Mila, F and Shiba, H},
abstractNote = {We give the details of the calculation of the spectral functions of the one-dimensional Hubbard model using the spin-charge factorized wave function for several versions of the U{r_arrow}+{infinity} limit. The spectral functions are expressed as a convolution of charge and spin dynamical correlation functions. A procedure to evaluate these correlation functions very accurately for large systems is developed, and analytical results are presented for the low-energy region. These results are fully consistent with the conformal field theory. We also propose a direct method of extracting the exponents from the matrix elements in more general cases. {copyright} {ital 1997} {ital The American Physical Society}},
doi = {10.1103/PhysRevB.55.15475},
url = {https://www.osti.gov/biblio/530200}, journal = {Physical Review, B: Condensed Matter},
number = 23,
volume = 55,
place = {United States},
year = {1997},
month = {6}
}