On calculation of vector spin chirality for zigzag spin chains

Details On calculation of vector spin chirality for zigzag spin chains On calculation of vector spin chirality for zigzag spin chains

2008-05-26

arxiv.org/abs/0805.3872v2

J. Phys. Soc. Jpn. 77, (2008) 114004

Physics

Condensed Matter

Statistical Mechanics

7 pages, 9 figures, accepted for publication in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.77.114004

We calculate the vector spin chirality for $S=1/2$ zigzag spin chains having U(1) symmetry, using the density matrix renormalization group combined with unitary transformation. We then demonstrate the occurrence of the chiral order for the zigzag XY chain and discuss the associated phase transition. The results are consistent with the analysis based on the bosonization and the long distance behaviour of the chirality correlation function. For the $S=1/2$ zigzag Heisenberg chain in a magnetic field, we also verify the chiral order that is predicted by the effective field theory and the chirality correlation function, and then determine its magnetic phase diagram.

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