Spectral functions of the 1D Hubbard model in the U -> \infty limit: How to use the factorized wave-function

TL;DR

This paper calculates the spectral functions of the 1D Hubbard model at infinite U using a factorized wave-function, providing accurate methods and analytical results consistent with conformal field theory.

Contribution

It introduces a detailed calculation method for spectral functions using spin-charge factorization and develops a procedure for accurate evaluation of correlation functions in large systems.

Findings

Spectral functions expressed as convolution of charge and spin correlations

Analytical results for low energy spectral behavior

Method for extracting exponents from matrix elements

Abstract

We give the details of the calculation of the spectral functions of the 1D Hubbard model using the spin-charge factorized wave-function for several versions of the U -> +\infty 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.