Evidence for a floating phase of the transverse ANNNI model at high frustration

Abstract

We study the transverse quantum ANNNI model in the region of high frustration (k>0.5) using the DMRG algorithm. We obtain a precise determination of the phase diagram, showing clear evidence for the existence of a floating phase, separated from the paramagnetic modulated phase by a high-order critical line ending at the multicritical point. We obtain simple and accurate formulae for the two critical lines.

arXiv comment20 pages, 16 figures. Major revision: numerical evidence improved, presentation clarified, discussion on KT phase transitions added, references updated

References in corpus (5)

• The density-matrix renormalization group
• Density Matrix Renormalization Group Study of the Disorder Line in the Quantum ANNNI Model
• Floating Phase in 1D Transverse ANNNI Model
• Infinitesimal incommensurate stripe phase in an axial next-nearest-neighbor Ising model in two dimensions
• Modulation of Local Magnetization in two-dimensional Axial-Next-Nearest-Neighbor Ising model

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