Scaling behavior of the energy gap of spin-1/2 AF-Heisenberg chain in both uniform and staggered fields

Abstract

We have studied the energy gap of the 1D AF-Heisenberg model in the presence of both uniform ($H$) and staggered ($h$) magnetic fields using the exact diagonalization technique. We have found that the opening of the gap in the presence of a staggered field scales with $h^{\nu }$, where $\nu =\nu (H)$ is the critical exponent and depends on the uniform field. With respect to the range of the staggered magnetic field, we have identified two regimes through which the $H$-dependence of the real critical exponent $\nu (H)$ can be numerically calculated. Our numerical results are in good agreement with the results obtained by theoretical approaches.

References in corpus (5)

• Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field
• Effects of an external magnetic field on the gaps and quantum corrections in an ordered Heisenberg antiferromagnet with Dzyaloshinskii-Moriya anisotropy
• Midgap States in Antiferromagnetic Heisenberg Chains with A Staggered Field
• Field-induced gap in ordered Heisenberg antiferromagnets
• The gap exponent of XXZ model in a transverse field

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• Effects of a space modulation on the behavior of a 1D alternating Heisenberg spin-1/2 model
• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field
• Frustration induced noncollinear magnetic order phase in one-dimensional Heisenberg chain with alternating antiferromagnetic and ferromagnetic next nearest neighbor interactions
• Zero-temperature study of a tetrameric spin-$1/2$ chain in a transverse magnetic field