Inversion phenomenon and phase diagram of the $S=1/2$ distorted diamond chain with the $XXZ$ interaction anisotropy

Abstract

We discuss the anisotropies of the Hamiltonian and the wave-function in an $S=1/2$ distorted diamond chain. The ground-state phase diagram of this model is investigated using the degenerate perturbation theory up to the first order and the level spectroscopy analysis of the numerical diagonalization data. In some regions of the obtained phase diagram, the anisotropy of the Hamiltonian and that of the wave-function are inverted, which we call inversion phenomenon; the Néel phase appears for the XY-like anisotropy and the spin-fluid phase appears for the Ising-like anisotropy. Three key words are important for this nature, which are frustration, the trimer nature, and the $XXZ$ anisotropy.

4pages, 10 figures, for proceedings of SPQS 2004

References in corpus (5)

• Magnetic properties of the $S=1/2$ distorted diamond chain at T=0
• Frustrated trimer chain model and Cu3Cl6(H2O)2 2H8C4SO2 in a magnetic field
• Inversion Phenomena of the Anisotropies of the Hamiltonian and the Wave-Function in the Distorted Diamond Type Spin Chain
• Level Spectroscopy: Physical Meaning and Application to the Magnetization Plateau Problems
• Anisotropies of the Hamiltonian and the Wave Function: Inversion Phenomena in Quantum Spin Chains

Cited by in corpus (5)

• Magnetic properties of the quantum spin-1/2 XX diamond chain: The Jordan-Wigner approach
• Ground-State Phase Diagram of an Anisotropic S=1/2 Ladder with Different Leg Interactions
• Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions
• Magnetization Plateau of the Distorted Diamond Spin Chain
• Ground-State Phase Diagram of (1/2,1/2,1) Mixed Diamond Chains with Single-Site Anisotropy