Continuous quantum phase transitions in the one-dimensional spin-1/2 axial next-nearest-neighbour Ising model in two orthogonal magnetic ¯elds
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Date
2010-02
Authors
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Publisher
Indian Academy of Sciences
Abstract
We have investigated the one-dimensional spin-1/2 axial next-nearestneighbour Ising (ANNNI) model in two orthogonal magnetic fields at zero temperature. There are four different possible ground state configurations for the ANNNI model in a longitudinal field, in the thermodynamic limit. The inclusion of a transverse field introduces quantum fluctuations which destroy the existing spin order along certain critical lines. The effects of the fluctuations in three of the four ordered regions were investigated using the finite-size scaling technique. The phase boundaries of the ANNNI model in two orthogonal magnetic fields were thus determined numerically. For certain limits of the Hamiltonian we compared the obtained results with the existing literature and our results were in good agreement with the results in the existing literature
Description
PRAMANA journal of physics, VOL. 74, No. 2, P. 293-306
Keywords
Ising model, quantum phase transitions, axial next-nearest-neighbour Ising model, magnetic fields, exact diagonalization, finite-size scaling, spin systems