Critical properties of the one-dimensional spin-1/2 antiferromagnetic Heisenberg model in the presence of a uniform field

Abstract

In the presence of a uniform field the one-dimensional spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model develops zero frequency excitations at field-dependent 'soft mode' momenta. We determine three types of critical quantities, which we extract from the finite-size dependence of the lowest excitation energies, the singularities in the static structure factors and the infrared singularities in the dynamical structure factors at the soft mode momenta. We also compare our results with the predictions of conformal field theory.

12 pages, REVTEX, 7 figures, submitted to Physical Review B

References in corpus (2)

• Computation of Dynamical Structure Factors with the Recursion Method
• Static Structure Factors of the XXZ-Model in the presence of a uniform field

Cited by in corpus (24)

• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Characterization of a Quasi-One Dimensional Spin-1/2 Magnet which is Gapless and Paramagnetic for g mu_B H <= J and k_B T << J
• Extended quantum critical phase in a magnetized spin-1/2 antiferromagnetic chain
• Andreev scattering and Josephson current in a one-dimensional electron liquid
• Magnetic order in the quasi-one-dimensional spin 1/2 chain, copper pyrazine dinitrate
• Effects of the Dzyaloshinskii-Moriya interaction on low energy magnetic excitations in copper benzoate
• Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
• Lineshape predictions via Bethe ansatz for the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field
• Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain
• Quasiparticles governing the zero-temperature dynamics of the 1D spin-1/2 Heisenberg antiferromagnet in a magnetic field
• Evaluation of Dynamic spin structure factor for the spin-1/2 XXZ chain in a magnetic field
• Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet
• Quantum coherence in a compass chain under an alternating magnetic field
• High-field magnetization study of the S = 1/2 antiferromagnetic Heisenberg chain [PM Cu(NO${}_3$)${}_2$(H${}_2$O)${}_2$]${}_n$ with a field-induced gap
• Soft modes, Gaps and Magnetization Plateaus in 1D Spin-1/2 Antiferromagnetic Heisenberg Models
• η-Exponents in the one dimensional antiferromagnetic Heisenberg model with next to nearest neighbour coupling
• Antiferromagnetic Heisenberg ladders in a staggered magnetic field
• Low temperature electronic properties of Sr_2RuO_4 I: Microscopic model and normal state properties
• S=1/2 antiferromagnetic Heisenberg chain with staggered fields: Copper pyrimidine and copper benzoate using the density matrix renormalization group for transfer matrices
• One-dimensional spin-1/2 Heisenberg antiferromagnet in a weak external magnetic field
• From one to two dimensions in quantum spin systems
• Dynamical Structure Factors of the S=1/2 Bond-Alternating Spin Chain with a Next-Nearest-Neighbor Interaction in Magnetic Fields
• Critical properties of 1-D spin 1/2 antiferromagnetic Heisenberg model