Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction
arXiv:1102.2589 · doi:10.1016/j.physleta.2010.08.026
Abstract
The Ising approximation of the Heisenberg model in a strong magnetic field, with two, three and six spin exchange interactions is studied on a kagome chain. The kagome chain can be considered as an approximation of the third layer of 3He absorbed on the surface of graphite (kagome lattice). By using dynamical approach we have found one and multi-dimensional mappings (recursion relations) for the partition function. The magnetization diagrams are plotted and they show that the kagome chain is separating into four sublattices with different magnetizations. Magnetization curves of two sublattices exhibit plateaus at zero and 2/3 of the saturation field. The maximal Lyapunov exponent for multi-dimensional mapping is considered and it is shown that near the magnetization plateaus the maximal Lyapunov exponent also exhibits plateaus.
References in corpus (21)
- Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
- The Lyapunov Characteristic Exponents and their computation
- Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
- Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
- Magnetic Properties of the Spin-1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Trimerized Heisenberg Chain:
- Field induced transitions in a kagome antiferromagnet
- Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
- Plateau of the Magnetization Curve of the S=1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Spin Chain
- Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
- Magnetization "Steps" on a Kagome Lattice in Volborthite
- Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
- Observation of a Transient Magnetization Plateau in a Quantum Antiferromagnet on the Kagome Lattice
- Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
- An exact study of charge-spin separation, pairing fluctuations and pseudogaps in four-site Hubbard clusters
- Phase diagrams of spin ladders with ferromagnetic legs
- Global Bethe lattice consideration of the spin-1 Ising model
- Magnetization plateaus in the ferromagnetic-ferromagnetic-antiferromagnetic Ising chain
- Magnetization plateau in the S=1/2 spin ladder with alternating rung exchange
- Magnetization Plateaux in Bethe Ansatz Solvable Spin-S Ladders
- Breakdown of an intermediate plateau in the magnetization process of anisotropic spin-1 Heisenberg dimer: theory vs. experiment
- The dynamical response to the node defect in thermally activated remagnetization of magnetic dot array
Cited by in corpus (6)
- Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite
- Magnetic properties, Lyapunov exponent and superstability of the spin-1/2 Ising-Heisenberg model on diamond chain
- Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
- Cyclic Period-3 Window in Antiferromagnetic Potts and Ising Models on Recursive Lattices
- Magnetic properties and concurrence for fluid 3He on kagome lattice
- Chaotic spin-spin entanglement on a recursive lattice