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

2007/02/28 by Matteo Beccaria, Massimo Campostrini, Alessandra Feo · 5 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.1103/physrevb.76.094410

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

arxiv created 2007/08/27 · openalex publication_date 2007/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the transverse quantum ANNNI model in the region of high frustration (\ensuremathκ>0.5) using the density matrix renormalization group 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 formulas for the two critical lines.

Citations

• Floating phase in the one-dimensional transverse axial next-nearest-neighbor Ising model
• Infinitesimal incommensurate stripe phase in an axial next-nearest-neighbor Ising model in two dimensions

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