Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-08-06
Phys. Rev. E58, 4332 (1998)
Physics
Condensed Matter
Statistical Mechanics
21 pages, Latex, 1 figures; some misprints in Table 1 corrected
Scientific paper
10.1103/PhysRevE.58.4332
We study the ground state degeneracy per site (exponent of the ground state entropy) $W(\Lambda,(L_x=\infty) \times L_y,q)$ for the $q$-state Potts antiferromagnet on infinitely long strips with width $L_y$ of 2D lattices $\Lambda$ with free and periodic boundary conditions in the $y$ direction, denoted FBC$_y$ and PBC$_y$. We show that the approach of $W$ to its 2D thermodynamic limit as $L_y$ increases is quite rapid; for moderate values of $q$ and $L_y \simeq 4$, $W(\Lambda,(L_x=\infty) \times L_y,q)$ is within about 5 % and ${\cal O}(10^{-3})$ of the 2D value $W(\Lambda,(L_x=\infty) \times (L_y=\infty),q)$ for FBC$_y$ and PBC$_y$, respectively. The approach of $W$ to the 2D thermodynamic limit is proved to be monotonic (non-monotonic) for FBC$_y$ (PBC$_y$). It is noted that ground state entropy determinations on infinite strips can be used to obtain the central charge for cases with critical ground states.
Shrock Robert
Tsai Shan-Ho
No associations
LandOfFree
Ground State Entropy of Potts Antiferromagnets and the Approach to the 2D Thermodynamic Limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ground State Entropy of Potts Antiferromagnets and the Approach to the 2D Thermodynamic Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground State Entropy of Potts Antiferromagnets and the Approach to the 2D Thermodynamic Limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-555180