Finite-size scaling and corrections in the Ising model with Brascamp-Kunz boundary conditions
نویسندگان
چکیده
The Ising model in two dimensions with the special boundary conditions of Brascamp and Kunz is analyzed. Leading and subdominant scaling behavior of the Fisher zeros are determined exactly. The exact finite-size scaling, with corrections, of the specific heat is determined both at critical and effective critical ~pseudocritical! points. The shift exponents associated with the scaling of these effective critical points are not the same as the inverse correlation length critical exponent. All corrections to scaling are analytic.
منابع مشابه
Finite-size corrections in the Ising model with special boundary conditions
The Ising model in two dimensions with the special boundary conditions of Brascamp and Kunz (BK) is analyzed. We derive exact finite-size corrections for the free energy F of the critical ferromagnetic Ising model on the M ×N square lattice with Brascamp–Kunz boundary conditions [H.J. Brascamp, H. Kunz, J. Math. Phys. 15 (1974) 66]. We show that finite-size corrections strongly depend not only ...
متن کاملExact finite-size corrections for the square-lattice Ising model with Brascamp-Kunz boundary conditions.
Finite-size scaling, finite-size corrections, and boundary effects for critical systems have attracted much attention in recent years. Here we derive exact finite-size corrections for the free energy F and the specific heat C of the critical ferromagnetic Ising model on the Mu x 2 Nu square lattice with Brascamp-Kunz (BK) boundary conditions [J. Math. Phys. 15, 66 (1974)] and compare such resul...
متن کاملExact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions
The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Moreover, exact results are also determined for the scaling of the specific heat at criticality, for the specific-heat peak ...
متن کاملFinite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random. We carry out a systematic study of finite-size effects at the quantum critical point, and evaluate subleading corrections both for open and for periodic bou...
متن کاملScaling functions of interfacial tensions for a class of Ising cylinders
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 c...
متن کامل