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arXiv:0708.0264 · Physical Review B

Field-induced incommensurate order for the quasi-one-dimensional XXZ model in a magnetic field

Kouichi Okunishi, Takahumi Suzuki

Published Dec 14, 2007• 50 citations
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Abstract

We investigate phase transitions of the quasi-one-dimensional $S=1∕2$ $XXZ$ model in a magnetic field, using bosonization combined with a mean-field treatment of the interchain interaction. We then find that the field-induced incommensurate order is certainly realized in the low-field region, while transverse staggered order appears in the high-field region. On the basis of the result, we discuss the field-induced phase transition recently observed for $\mathrm{Ba}{\mathrm{Co}}_{2}{\mathrm{V}}_{2}{\mathrm{O}}_{8}$.

DOI
10.1103/physrevb.76.224411

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We investigate the S=1 frustrated antiferromagnetic quantum spin chain in magnetic field, using numerical exact diagonalization of finite‐size clusters. The calculated critical exponents of the spin correlation functions indicate that the incommensurate spin correlation parallel to the external field can be stronger than the transverse antiferromagnetic one for some intermediate fields. When such an incommensurate correlation is dominant, the quasi‐1D system with finite interchain interactions should exhibit long‐range incommensurate order. We also discuss a possible mechanism for the recently observed field‐induced phase of NDMAP within this framework.