Monte Carlo investigation of critical properties of the Landau point of a biaxial liquid-crystal system.
Extensive Monte Carlo simulations are performed to investigate the critical properties of a special singular point usually known as the Landau point. The singular behavior is studied in the case when the order parameter is a tensor of rank 2. Such an order parameter is associated with a nematic-liquid-crystal phase. A three-dimensional lattice dispersion model that exhibits a direct biaxial nematic-to-isotropic phase transition at the Landau point is thus chosen for the present study. Finite-size scaling and cumulant methods are used to obtain precise values of the critical exponent ν=0.713(4), the ratio γ/ν=1.85(1), and the fourth-order critical Binder cumulant U^{*}=0.6360(1). Estimated values of the exponents are in good agreement with renormalization-group predictions.
Department of Physics, Mahishadal Raj College, Mahishadal, Purba Medinipur, West Bengal 721628, India.
Nababrata
N
Ghoshal
Department of Physics, Lady Brabourne College, Kolkata 700017, India.
Sabana
S
Shabnam
Department of Physics, Lady Brabourne College, Kolkata 700017, India.
Sudeshna
S
DasGupta
Department of Physics, Jadavpur University, Kolkata 700032, India.
Soumen Kumar
SK
Roy