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

doi:https://doi.org/10.1103/PhysRevB.55.15475

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

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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:

Penc, K; Hallberg, K ^[1]; Mila, F ^[2]; Shiba, H ^[3]

Max-Planck-Institut fuer Physik Komplexer Systeme, Bayreuther Strasse 40, 01187 Dresden (Germany)
Laboratoire de Physique Quantique, Universite Paul Sabatier, 31062 Toulouse (France)
Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152 (Japan)

Publication Date:: 1997-06-01

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.

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                    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

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                    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.

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@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}

}

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