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arXiv:cond-mat/9902083 · Journal of Physics Condensed Matter

-exponents in the one-dimensional antiferromagnetic Heisenberg model with next-nearest-neighbour coupling

C. Gerhardt, Andreas Fledderjohann, E Aysal, K-H Mütter, J F Audet, H. Kröger

Published Apr 21, 1997• 12 citations
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Abstract

We investigate the critical exponents and associated with the singularities in the longitudinal and transverse structure factors of the one-dimensional antiferromagnetic Heisenberg model with nearest- ( -) and next-nearest- ( -) neighbour coupling of relative strength and an external field B with magnetization M(B).
DOI
10.1088/0953-8984/9/16/015

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We have considered the S=1∕2S=1∕2S=1∕2 antiferromagnetic Heisenberg model in two dimensions, with an additional Ising next-nearest-neighbor interaction. Antiferromagnetic next-nearest-neighbor interactions will lead to frustration, and the system responds with flipping the spins down in the xyxyxy plane. For large next-nearest-neighbor coupling the system will order in a striped phase along the zzz axis, this phase is reached through a first-order transition. We have considered two generalizations of this model, one with random next-nearest-neighbor interactions, and one with an enlarged unit cell, where only half of the atoms have next-nearest-neighbor interactions. In both cases the transition is softened to a second-order transition separating two ordered states. In the latter case we have estimated the quantum critical exponent $\ensuremath{\beta}\ensuremath{\approx}0.25$. These two cases then represent candidate examples of deconfined quantum criticality.
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