On the Two-magnon Bound States for the Quantum Heisenberg Chain with Variable Range Exchange
نویسنده
چکیده
The spectrum of finite-difference two-magnon operator is investigated for quantum S=1/2 chain with variable range exchange of the form h(j − k) ∝ sinh −2 a(j − k). It is found that usual bound state appears for some values of the total pseudomomentum of two magnons as for the Heisenberg chain with nearest-neighbor spin interaction. Besides this state, a new type of bound state with oscillating wave function appears at larger values of the total pseudomomentum.
منابع مشابه
Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles
We consider the quantum Heisenberg antiferromagnet in a magnetic field on two one-dimensional lattices containing equilateral triangles (a chain of corner-sharing double tetrahedra and a frustrated three-leg ladder) which support localized-magnon states. By mapping of the localized-magnon degrees of freedom on a classical lattice gas we obtain high-field thermodynamic quantities of the models a...
متن کاملMultipartite entangled magnon states as quantum communication channels
We explicate conditions under which, the two magnon state becomes highly entangled and is useful for several quantum communication protocols. This state, which is experimentally realizable in quantum dots using Heisenberg exchange interaction, is found to be suitable for carrying out deterministic teleportation of an arbitrary two qubit composite system. Further, conditions for which the channe...
متن کاملObservation of two-magnon bound states in the spin-1 anisotropic Heisenberg antiferromagnetic chain system NiCl224SCðNH2Þ2
Results of systematic tunable-frequency ESR studies of the spin dynamics in NiCl224SCðNH2Þ2 (known as DTN), a gapped S 1⁄4 1 chain system with easy-plane anisotropy dominating over the exchange coupling (large-D chain), are presented. We have obtained direct evidence for two-magnon bound states, predicted for S 1⁄4 1 large-D spin chains in the fully spin-polarized (FSP) phase. The frequency–fie...
متن کاملFinite size corrections within the continuum limit for quantum spins: two-magnon bound states in 1D Heisenberg ferromagnet
A continuum medium approach is proposed to describe the finite size dependent effects for the 1D isotropic Heisenberg ferromagnet. The results are compared to the exact Bethe ansatz solution for the finite chain. The approach is shown to adequately account for the behaviour of the eigenfunctions and eigenenergies. The continuum is obtained by integration in Fourier space via introduction of cut...
متن کاملRaman Scattering from Magnetic Excitations in the Spin Ladder Compounds CaV 2 O 5 and MgV
We present the Raman scattering spectra of CaV 2 O 5 and MgV 2 O 5. Our analysis of the magnetic modes shows that the magnetic ordering in CaV 2 O 5 can be described using two-leg ladder Heisenberg antiferromagnetic model with J /J ⊥ ∼ 0.1, and a small interladder exchange. The spin-gap and exchange constant are estimated to be ∆ s ∼ 400 cm −1 (570 K) and J ⊥ ∼ 640 K. No magnon bound states are...
متن کامل