Magnetization jump in the XXZ chain with next-nearest-neighbor exchange

Abstract

We study the dependence of the magnetization M with magnetic field B at zero temperature in the spin-1/2 XXZ chain with nearest-neighbor (NN) J1 and next-NN J2 exchange interactions, with anisotropies Delta1 and Delta2 respectively. The region of parameters for which a jump in M(B) exists is studied using numerical diagonalization, and analytical results for two magnons on a ferromagnetic background in the thermodynamic limit. We find a line in the parameter space (J2/J1, Delta1/J1, Delta2/J2) (determined by two simple equations) at which the ground state is highly degenerate. M(B) has a jump near this line, and at or near the isotropic case with ferromagnetic J1 and antiferromagnetic J2, with |J2/J1| near 1/4. These results are relevant for some systems containing CuO chains with edge-sharing CuO4 units.

9 pages, 8 figures, submitted to Phys. Rev. B

References in corpus (4)

• Magnetic Properties of Zig-Zag Ladders
• A numerical method for detecting incommensurate correlations in the Heisenberg zigzag ladder
• Metamagnetism in the XXZ model with next-to-nearest-neighbor coupling
• Phase diagram of S=1/2 XXZ chain with NNN interaction

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