Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-06-05
Physica B: Condensed Matter, Volumes 359-361 , 30 April 2005, Pages 1384-1386
Physics
Condensed Matter
Statistical Mechanics
Presented at the SCES '04 - The International Conference on Strongly Correlated Electron Systems (Karlsruhe, July 26-30, 2004)
Scientific paper
10.1016/j.physb.2005.01.428
We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition points strongly depends on the specific set of the Hamiltonian parameters but never exceeds 2p where p is the period of alternation. Calculating the spin correlation functions numerically (for long chains of up to 5400 sites) and determining the critical exponents we have demonstrated that two types of critical behavior are possible. In most cases the square-lattice Ising model universality class occurs, however, a weaker singularity may also take place.
Derzhko Oleg
Krokhmalskii Taras
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