Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-05-26
Czechoslovak Journal of Physics, May 2005, Volume 55, Number 5, Pages: 605 - 608
Physics
Condensed Matter
Statistical Mechanics
Presented at 12-th Czech and Slovak Conference on Magnetism, Ko\v{s}ice, 12-15 July 2004
Scientific paper
10.1007/s10582-005-0065-3
We consider the ground-state properties of the s=1/2 Ising chain in a transverse field which varies regularly along the chain having a period of alternation 2. Such a model, similarly to its uniform counterpart, exhibits quantum phase transitions. However, the number and the position of the quantum phase transition points depend on the strength of transverse field modulation. The behaviour in the vicinity of the critical field in most cases remains the same as for the uniform chain (i.e. belongs to the square-lattice Ising model universality class). However, a new critical behaviour may also arise. We report the results for critical exponents obtained partially analytically and partially numerically for very long chains consisting of a few thousand sites.
Derzhko Oleg
Krokhmalskii Taras
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