Density of states of the Ising model in the field

G. Kamieniarz, A. Popielewicz, R. Micnas +1 more

Robert Hosken

М. А. Магомедов, Akai Kurbanovich Murtazaev, L.K. Magomedova +1 more

Seung‐Yeon Kim, Wooseop Kwak

The partition function zeros of the Ising model on a kagomé lattice in the complex magnetic-field plane are obtained. The properties of the Ising model on a kagomé lattice are not known in an external magnetic field. We estimate the joint density of states for the Ising model on a kagomé lattice in an external magnetic field by using the Wang-Landau sampling method. From the joint density of states, we evaluate its partition function zeros (so-called the Yang-Lee zeros) in the complex magnetic-field plane. For the first time, we investigate the unknown properties of the Ising model on a kagomé lattice in an external magnetic field by using its Yang-Lee zeros.

Hiromi Otsuka, Yutaka Okabe, Kouichi Okunishi

We report a study on the ground states of the triangular antiferromagnetic Ising model with a spacial anisotropy in the magnetic field. By the use of the level-spectroscopy and the density-matrix renormalization-group methods, we precisely determine the field-induced Berezinskii–Kosterlitz–Thouless transition point and the Pokrovski–Talapov transition points with an anisotropic nature. Then we provide the global phase diagram of the present model.

Sergey Anatol'evich Pirogov