### 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 language | English |
---|---|

Pages (from-to) | 15475-15488 |

Number of pages | 14 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 55 |

Issue number | 23 |

Publication status | Published - Jun 15 1997 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*55*(23), 15475-15488.

**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.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 55, no. 23, pp. 15475-15488.

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TY - JOUR

T1 - Spectral functions of the one-dimensional Hubbard model in the U → + ∞ limit

T2 - How to use the factorized wave function

AU - Penc, K.

AU - Hallberg, Karen

AU - Mila, Frédéric

AU - Shiba, Hiroyuki

PY - 1997/6/15

Y1 - 1997/6/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000456082&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000456082&partnerID=8YFLogxK

M3 - Article

VL - 55

SP - 15475

EP - 15488

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 23

ER -