Kosterlitz-Thouless Universality in a Fermionic System

Details Kosterlitz-Thouless Universality in a Fermionic System Kosterlitz-Thouless Universality in a Fermionic System

2001-09-22

arxiv.org/abs/cond-mat/0109424v1

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex format; 4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.66.045113

A new extension of the attractive Hubbard model is constructed to study the critical behavior near a finite temperature superconducting phase transition in two dimensions using the recently developed meron-cluster algorithm. Unlike previous calculations in the attractive Hubbard model which were limited to small lattices, the new algorithm is used to study the critical behavior on lattices as large as $128\times 128$. These precise results for the first time show that a fermionic system can undergo a finite temperature phase transition whose critical behavior is well described by the predictions of Kosterlitz and Thouless almost three decades ago. In particular it is confirmed that the spatial winding number susceptibility obeys the well known predictions of finite size scaling for $T

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