Metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya model

Abstract

We study the 1D ferromagnetic Ising (spin-1/2) model with the Dzyaloshinskii-Moriya (DM) interaction. We analyze the low energy excitation spectrum and the ground state magnetic phase diagram using the Lanczos method. The DM interaction-dependency is calculated for the low-energy excitation spectrum, spiral order parameter and spin-spin correlation functions. We show that a metamagnetic quantum phase transition occurs between the ferromagnetic and spiral phases. The existence of the metamagnetic phase transition is confirmed, using the variational matrix product states approach.

5 pages, 6 figures

References in corpus (4)

• Phase Diagram and Entanglement of Ising Model With Dzyaloshinskii-Moriya Interaction
• Dynamic probes of quantum spin chains with the Dzyaloshinskii-Moriya interaction
• Consequences of spin-orbit coupling for the Bose-Einstein condensation of magnons
• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field

Cited by in corpus (9)

• Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii-Moriya interaction
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Ineffectiveness of the Dzyaloshinskii-Moriya interaction in the dynamical quantum phase transition in the ITF model
• Entanglement study of the 1D Ising model with Added Dzyaloshinsky-Moriya interaction
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions
• Entanglement and quantum correlations in the XX spin-$1/2$ honeycomb lattice
• Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction