Jae Hwan Lee1 and Jin Min Kim∗
1. Department of Physics, Soongsil University, Seoul 06978, Republic of
Korea
2. Origin of Matter and Evolution of Galaxies Institute, Soongsil University,
Seoul 06978, Republic of Korea
E-mail: jmkim@ssu.ac.kr
Received 8 October 2021
Accepted for publication 20 January 2022
Published 22 February 2022
Online at stacks.iop.org/JSTAT/2022/023206
https://doi.org/10.1088/1742-5468/ac4e80

Abstract. We study the discrete Laplacian roughening surface model on a
square lattice. The specific heat is calculated by the density of states, which
is obtained by the Wang–Landau Monte Carlo simulation method. We find a
single second-order phase transition which is not the Kosterlitz–Thouless transition, and obtain the critical exponents ν = 0.711(13) and α = 0.601(28). The
finite-size scaling analysis for the first zeros of the partition function confirms
the exponents independently.
Keywords: classical phase transitions, roughening transition, critical exponents
and amplitudes, finite-size scaling