Phase diagrams of the generalized spin-1/2 ladder under staggered field and dimerization: A renormalization group study

Abstract

In the weak-coupling regime of the continuous theories, two sets of one-loop renormalization group equations are derived and solved to disclose the phase diagrams of the antiferromagnetic generalized two-leg spin-1/2 ladder under the effect of (I) a staggered external magnetic field and (II) an explicit dimerization. In model (I), the splitting of the SU(2)${}_2$ critical line into U(1) and Z${}_2$ critical surfaces is observed; while in model (II), two critical surfaces arising from their underlying critical lines with SU(2)${}_2$ and Z${}_2$ characteristics merge into an SU(2)${}_1$ critical surface on the line where the model attains its highest symmetry.

arXiv comment10 pages, 9 figures

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Cited by in corpus (8)

• Dimerization transitions in spin-1 chains
• Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder
• Magnetization plateau in the S=1/2 spin ladder with alternating rung exchange
• Magnetic phase diagram of the dimerized spin $S=1/2$ ladder
• Magnetic phase diagram of a spin S=1/2 antiferromagnetic two-leg ladder in the presence of modulated along legs Dzyaloshinskii-Moriya interaction
• Low-energy properties of anisotropic two-dimensional spin-1/2 Heisenberg models in staggered magnetic fields
• Concurrence and entanglement entropy in a dimerized spin-1/2 two-leg ladder
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions