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

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

1995-03-27

arxiv.org/abs/cond-mat/9503139v1

Physics

Condensed Matter

8 pages, Revtex

Scientific paper

10.1103/PhysRevB.53.7704

A finite size scaling is applied to the Yang-Lee zeros of the grand canonical partition function for the 2-D 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 ${1\over \delta}={1\over 2}\pm {1\over 3}$ which leads to a divergence of the electronic susceptibility. We interprete these results as reflecting singular behaviour of the density of states in the quasiparticle spectrum.

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