The phase diagram of the extended anisotropic ferromagnetic-antiferromagnetic Heisenberg chain |
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Authors: | E Plekhanov A Avella and F Mancini |
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Institution: | (1) Strong Coupling Modeling Group, Computational Materials Science Center, National Institute for Materials Science, Sengen 1-2-1, 305-0047 Tsukuba, Japan;(2) Computational Materials Science Center, National Institute for Materials Science, Sengen 1-2-1, Tsukuba, 305-0047 Ibaraki, Japan;(3) Computational Materials Science Center, National Institute for Materials Science, 1-2-1 Sengen, 305-0047 Tsukuba, Japan |
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Abstract: | By using Density Matrix Renormalization Group (DMRG) technique we study
the phase diagram of 1D extended anisotropic Heisenberg model with
ferromagnetic nearest-neighbor and antiferromagnetic
next-nearest-neighbor interactions. We analyze the static correlation
functions for the spin operators both in- and out-of-plane and classify
the zero-temperature phases by the range of their correlations. On
clusters of 64, 100, 200, 300 sites with open boundary conditions we
isolate the boundary effects and make finite-size scaling of our
results. Apart from the ferromagnetic phase, we identify two gapless
spin-fluid phases and two ones with massive excitations. Based on
our phase diagram and on estimates for the coupling constants known from
literature, we classify the ground states of several edge-sharing
materials. |
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Keywords: | |
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