### Abstract

A finite-size scaling is applied to the Yang-Lee zeros of the grand canonical partition function for the two-dimensional Hubbard model in the complex chemical potential plane. The logarithmic scaling of the imaginary part of the zeros with the system size indicates a singular dependence of the carrier density on the chemical potential. Our analysis points to a second-order phase transition with critical exponent 1/d=1/2±1/3, which leads to a divergence of the electronic susceptibility. We interpret these results as reflecting the singular behavior of the density of states in the quasiparticle spectrum.

Original language | English |
---|---|

Pages (from-to) | 7704-7713 |

Number of pages | 10 |

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

Volume | 53 |

Issue number | 12 |

Publication status | Published - 15 Mar 1996 |

## Fingerprint Dive into the research topics of 'Singularity of the density of states in the two-dimensional Hubbard model from finite-size scaling of Yang-Lee zeros'. Together they form a unique fingerprint.

## Cite this

Abraham, E., Barbour, I. M., Cullen, P. H., Klepfish, E. G., Pike, E. R., & Sarkar, S. (1996). Singularity of the density of states in the two-dimensional Hubbard model from finite-size scaling of Yang-Lee zeros.

*Physical Review B: Condensed Matter and Materials Physics*,*53*(12), 7704-7713.