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

Abstract

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.

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

Cited by in corpus (38)

• The density-matrix renormalization group
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• One-Dimensional Magnetism
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Field-induced chiral phase in isotropic frustrated spin chains
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
• Magnon BEC and various phases of 3D quantum helimagnets under high magnetic field
• Vector chiral order in frustrated spin chains
• Antiferromagnetic Zigzag Spin Chain in Magnetic Fields at Finite Temperatures
• Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• Fractional S^z excitation and its bound state around the 1/3 plateau of the S=1/2 Ising-like zigzag XXZ chain
• Frustrated spin chains in strong magnetic field: dilute two-component Bose gas regime
• Anisotropic Antiferromagnetic Spin Chains in a Transverse Field: Reentrant Behavior of the Staggered Magnetization
• On calculation of vector spin chirality for zigzag spin chains
• High field magnetisation of the frustrated one dimensional quantum antiferromagnet LiCuVO4
• Quantum Fluctuation-Induced Phase Transition in S=1/2 XY-like Heisenberg Antiferromagnets on the Triangular Lattice
• Emergent spin-1 trimerized valence bond crystal in the spin-1/2 Heisenberg model on the star lattice
• Unconventional magnetization plateaus in a Shastry-Sutherland spin tube
• Quantum critical phenomena in a spin-1/2 frustrated square lattice with spatial anisotropy
• Spinon excitation and Möbius boundary condition in S=1/2 antiferromagnetic Heisenberg spin ladder with zigzag structure
• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Product Wave Function Renormalization Group: construction from the matrix product point of view
• Universal relation between the dispersion curve and the ground-state correlation length in 1D antiferromagnetic quantum spin systems
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Double zigzag spin chain in strong magnetic field close to saturation
• A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method
• Two-Site shift Product Wave Function Renormalization Group Method Applied to Quantum Systems
• Magnetization cusp singularities of frustrated Kondo necklace model
• Degeneracy and ordering of the non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice
• Fractional S^z excitation and its bound state for the S=1/2 antiferromagnetic zigzag spin chain in a magnetic field
• Anomalous magnetization process in frustrated spin ladders
• Magnetic Properties for the One-Dimensional Multicomponent Spin-Gap System
• Field-induced quantum phase in a frustrated zigzag-square lattice
• Effects of Zeeman field on a Spin Bose-Metal phase
• Lifshitz Transition Induced by Magnetic Field in Frustrated Two-Leg Spin-Ladder Systems
• Excitations of a low-dimensional dimerized spin ladder under a magnetic field