Quantum fidelity approach to the ground state properties of the 1D ANNNI model in a transverse field

Abstract

In this work we analyze the ground-state properties of the $s=1/2$ one-dimensional ANNNI model in a transverse field using the quantum fidelity approach. We numerically determined the fidelity susceptibility as a function of the transverse field $B_x$ and the strength of the next-nearest-neighbor interaction $J_2$, for systems of up to 24 spins. We also examine the ground-state vector with respect to the spatial ordering of the spins. The ground-state phase diagram shows ferromagnetic, paramagnetic, floating, $⟨2,2⟩$ phases, and we predict an infinite number of modulated phases in the thermodynamic limit ($L\to \infty$). The transition lines separating the modulated phases seem to be of second-order, whereas the line between the floating and the $⟨2,2⟩$ phases is possibly of first-order.

arXiv comment10 pages, 20 figures

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Cited by in corpus (2)

• Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field
• Noise-Robust Detection of Quantum Phase Transitions