Scaling functions of interfacial tensions for a class of Ising cylinders

نویسندگان

  • T. M. Liaw
  • M. C. Huang
  • M. C. Wu
چکیده

We apply Plechko’s Grassmann path-integral method to Ising cylinders of rectangular, triangular, and hexagonal lattices to obtain the analytic solutions of free energies for the periodic and antiperiodic boundary conditions in the joined circumferences of the cylinders. These analytic solutions are used to analyze the scaling functions of the interfacial tensions for isotropic and anisotropic couplings. The finite-size corrections to the scaling functions are also discussed. @S0163-1829~99!12141-6#

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact finite-size scaling functions for the interfacial tensions of the Ising model on planar lattices.

Exact finite-size scaling functions of the interfacial tensions are obtained for the Ising model with isotropic coupling on a set of M x N planar lattices, including square (sq), plane triangular (pt), and honeycomb (hc) lattices. The analyses of transitive behaviors at criticality revise the knowledge of the interfacial tensions as a function of the aspect ratio defined by R = M/N for R approa...

متن کامل

Critical finite-size scaling with constraints: Fisher renormalization revisited

The influence of a thermodynamic constraint on the critical finite-size scaling behavior of three-dimensional Ising and XY models is analyzed by MonteCarlo simulations. Within the Ising universality class constraints lead to Fisher renormalized critical exponents, which modify the asymptotic form of the scaling arguments of the universal finite-size scaling functions. Within the XY universality...

متن کامل

Coupling-anisotropy and finite-size effects in interfacial tension of the two-dimensional Ising model

Exact expressions of the Bloch wall free energy are obtained for the Ising model on a rectangular lattice and infinitely long cylinder. The interfacial tension amplitudes are obtained for different coupling and aspect ratios. Finite-size scaling theory is used to analyse the effects of coupling anisotropy and finite size in the interfacial tension. The interfacial free energies are defined as t...

متن کامل

High order perturbation study of the frustrated quantum Ising chain

In this paper, using high order perturbative series expansion method, the critical exponents of the order parameter and susceptibility in transition from ferromagnetic to disordered phases for 1D quantum Ising model in transverse field, with ferromagnetic nearest neighbor and anti-ferromagnetic next to nearest neighbor interactions, are calculated. It is found that for small value of the frustr...

متن کامل

Application of the Interface Approach in Quantum Ising models

We investigate phase transitions in the Ising model and the ANNNI model in transverse field using the interface approach. The exact result of the Ising chain in a transverse field is reproduced. We find that apart from the interfacial energy, there are two other response functions which show simple scaling behaviour. For the ANNNI model in a transverse field, the phase diagram can be fully stud...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999