Chandrasekharan, S; Osborn, JC, *Kosterlitz-Thouless Universality in a Fermionic System*, vol. 66
(September, 2001),
pp. 045113 [0109424v1], [doi] .
**Abstract:**

*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
*

*
*