A numerical study of the zeroes of the grand partition function of hard needles of length k on strips of width k

Numerically studied zeroes of grand partition functions of k-mers on k × L lattice systems for k = 2, 3[cite: 4]. Formulated novel transfer matrix methods, and optimised matrices by using symmetries of the configurations[cite: 4]. Analytically study partition functions of the given setup using the recursive transfer matrix and phase jumps across branch cuts[cite: 4]. Computed critical exponents at the end-points of branches of zeroes for trimers, comparing them with the ones postulated by Fisher[cite: 4].