Singularity of the density of states in the two-dimensional Hubbard model from finite-size scaling of Yang-Lee zeros

E. Abraham, I. M. Barbour, P. H. Cullen, E. G. Klepfish, E. R. Pike, Sarben Sarkar

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish
Pages (from-to)7704-7713
Number of pages10
JournalPhysical Review B: Condensed Matter and Materials Physics
Volume53
Issue number12
Publication statusPublished - 15 Mar 1996

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