Dynamical correlation functions in spin- $1/2$ ladders under a magnetic fieldDynamical correlation functions in spin-$1/2$ ladders under a magnetic field

Pierre Bouillot, Corinna Kollath, Andreas Martin Läuchli +2 more

Bulletin of the American Physical SocietyMar 16, 20100 citations

Theory of Spin Correlations in Antiferromagnetic Spin Ladders

Alexei M. Tsvelik

APSMar 1, 19970 citations

Dynamical spin correlations in the Heisenberg ladder under a magnetic field and correlation functions in the SO(5) ladder

Akira Furusaki, Shoucheng Zhang

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin- $\frac{1}{2}$ two-leg antiferromagnetic Heisenberg ladder in a magnetic field above the lower critical field ${H}_{c1}$ . The dynamical structure factors are calculated, which exhibit both massless modes and massive excitations. These modes appear in different sectors characterized by the parity in the rung direction and by the momentum in the direction of the chains. The structure factors have power-law singularities at the lower edges of their support. The results are also applicable to the spin-1 Heisenberg chain. The implications are briefly discussed for the various correlation functions and the $\ensuremath{\pi}$ resonance in the SO(5) symmetric ladder model.The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-$\frac{1}{2}$ two-leg antiferromagnetic Heisenberg ladder in a magnetic field above the lower critical field ${H}_{c1}$. The dynamical structure factors are calculated, which exhibit both massless modes and massive excitations. These modes appear in different sectors characterized by the parity in the rung direction and by the momentum in the direction of the chains. The structure factors have power-law singularities at the lower edges of their support. The results are also applicable to the spin-1 Heisenberg chain. The implications are briefly discussed for the various correlation functions and the $\ensuremath{\pi}$ resonance in the SO(5) symmetric ladder model.

arXiv:cond-mat/9807375Physical review. B, Condensed matterJul 1, 199961 citations

Magnetic order in ferromagnetically coupled spin ladders

Sergio D. Dalosto, José A. Riera

A model of coupled antiferromagnetic spin-1/2 Heisenberg ladders is studied with numerical techniques. In the case of ferromagnetic interladder coupling we find that the dynamic and static structure factor has a peak at $(\ensuremath{\pi},\ensuremath{\pi}/2)$ where the first (second) direction is along (transversal) to the ladders. In addition, we suggest that the intensity of this peak and the spin-spin correlation at the maximum distance along the ladder direction remain finite in the bulk limit for strong enough interladder coupling. We discuss the relevance of these results for magnetic compounds containing ladders coupled in a trellis lattice and for the stripe scenario in high- ${T}_{c}$ superconducting cuprates.A model of coupled antiferromagnetic spin-1/2 Heisenberg ladders is studied with numerical techniques. In the case of ferromagnetic interladder coupling we find that the dynamic and static structure factor has a peak at $(\ensuremath{\pi},\ensuremath{\pi}/2)$ where the first (second) direction is along (transversal) to the ladders. In addition, we suggest that the intensity of this peak and the spin-spin correlation at the maximum distance along the ladder direction remain finite in the bulk limit for strong enough interladder coupling. We discuss the relevance of these results for magnetic compounds containing ladders coupled in a trellis lattice and for the stripe scenario in high-${T}_{c}$ superconducting cuprates.

arXiv:cond-mat/9911271Physical review. B, Condensed matterJul 1, 200017 citations

Dynamics of Densities and Currents in Spin Ladders

Jonas Richter, Fengping Jin, Lars Knipschild +5 more

Bulletin of the American Physical SocietyMar 6, 20190 citations

Dynamical correlation functions in spin-

1/2

ladders under a magnetic field

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-

\frac{1}{2}

two-leg antiferromagnetic Heisenberg ladder in a magnetic field above the lower critical field

{H}_{c1}

. The dynamical structure factors are calculated, which exhibit both massless modes and massive excitations. These modes appear in different sectors characterized by the parity in the rung direction and by the momentum in the direction of the chains. The structure factors have power-law singularities at the lower edges of their support. The results are also applicable to the spin-1 Heisenberg chain. The implications are briefly discussed for the various correlation functions and the $\ensuremath{\pi}$ resonance in the SO(5) symmetric ladder model.

{T}_{c}

superconducting cuprates.