title: Phase transition of the Ising model on a fractal lattice.
abstract: The phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is doubled when the linear size of the area is extended by a factor of 4. The free energy and the spontaneous magnetization of the system are obtained by means of the higher-order tensor renormalization group method. The system exhibits the order-disorder phase transition, where the critical indices are different from those of the square-lattice Ising model. An exponential decay is observed in the density-matrix spectrum even at the critical point. It is possible to interpret that the system is less entangled because of the fractal geometry.
authors: Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, SK-845 11 Bratislava, Slovakia.
authors: Jozef
authors: J
authors: Genzor
authors: Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, SK-845 11 Bratislava, Slovakia.
authors: Andrej
authors: A
authors: Gendiar
authors: Department of Physics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan.
authors: Tomotoshi
authors: T
authors: Nishino