Spectral functions of the one-dimensional Hubbard model in the U → + ∞ limit

How to use the factorized wave function

K. Penc, Karen Hallberg, Frédéric Mila, Hiroyuki Shiba

Research output: Contribution to journalArticle

67 Citations (Scopus)

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 → + ∞ 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.

Original languageEnglish
Pages (from-to)15475-15488
Number of pages14
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume55
Issue number23
Publication statusPublished - Jun 15 1997

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Hubbard model
Wave functions
wave functions
convolution integrals
exponents
matrices
Convolution
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Spectral functions of the one-dimensional Hubbard model in the U → + ∞ limit : How to use the factorized wave function. / Penc, K.; Hallberg, Karen; Mila, Frédéric; Shiba, Hiroyuki.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 55, No. 23, 15.06.1997, p. 15475-15488.

Research output: Contribution to journalArticle

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