Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets

Details Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets

1999-04-12

arxiv.org/abs/cond-mat/9904155v3

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTeX, 3 figures, some mistakes in references are corrected

Scientific paper

10.1103/PhysRevB.60.R6953

We study the zero-temperature magnetization process (M-H curve) of one-dimensional quantum antiferromagnets using a variant of the density-matrix renormalization group method. For both the S=1/2 zig-zag spin ladder and the S=1 bilinear-biquadratic chain, we find clear cusp-type singularities in the middle-field region of the M-H curve. These singularities are successfully explained in terms of the double-minimum shape of the energy dispersion of the low-lying excitations. For the S=1/2 zig-zag spin ladder, we find that the cusp formation accompanies the Fermi-liquid to non-Fermi-liquid transition.

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