Showing that the location of the zeros of the partition function can be used to study phase
transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an …

We show that accurate insights into the critical properties of the Blume–Capel model at two
dimensions can be deduced from Monte Carlo simulations, even for small system sizes …

Employing the functional renormalization group approach at next-to-leading order of the
derivative expansion, we refine our earlier findings for the location of the Yang-Lee edge …

We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model
using multipoint Padé approximants. We perform simulations for the 2D Ising model with …

Lee-Yang zeros are points in the complex plane of an external control parameter at which
the partition function vanishes for a many-body system of finite size. In the thermodynamic …

We consider the sign problem for classical spin models at complex β= 1/g 0 2 on L× L
lattices. We show that the tensor renormalization group method allows reliable calculations …

Multiplicative logarithmic corrections to scaling are frequently encountered in the critical
behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used …

We compare phase transition (-like) phenomena in small model systems for both
microcanonical and canonical ensembles. The model systems correspond to a few classical …

We investigate the location of the critical and tricritical points of the three-dimensional Blume-
Capel model by analyzing the behavior of the first Lee-Yang zero, the density of partition …

Multiplicative logarithmic corrections frequently characterize critical behavior in statistical
physics. Here, a recently proposed theory relating the exponents of such terms is extended …